Behrndt, Jussi; Schmitz, Philipp; Teschl, Gerald; Trunk, Carsten Perturbations of periodic Sturm-Liouville operators. (English) Zbl 07679836 Adv. Math. 422, Article ID 109022, 22 p. (2023). MSC: 34L05 81Q10 34L40 47E05 PDF BibTeX XML Cite \textit{J. Behrndt} et al., Adv. Math. 422, Article ID 109022, 22 p. (2023; Zbl 07679836) Full Text: DOI arXiv OpenURL
Behrndt, Jussi; Holzmann, Markus; Lotoreichik, Vladimir; Raikov, Georgi The fate of Landau levels under \(\delta\)-interactions. (English) Zbl 07688013 J. Spectr. Theory 12, No. 3, 1203-1234 (2022). MSC: 81Q10 47A10 47A55 47N50 PDF BibTeX XML Cite \textit{J. Behrndt} et al., J. Spectr. Theory 12, No. 3, 1203--1234 (2022; Zbl 07688013) Full Text: DOI arXiv OpenURL
Xu, Guixin; Zhang, Meirong Relationships between perturbations of a linear relation and its operator part. (English) Zbl 07648234 Discrete Dyn. Nat. Soc. 2022, Article ID 9134363, 12 p. (2022). MSC: 47A06 47A55 47B25 47A10 PDF BibTeX XML Cite \textit{G. Xu} and \textit{M. Zhang}, Discrete Dyn. Nat. Soc. 2022, Article ID 9134363, 12 p. (2022; Zbl 07648234) Full Text: DOI OpenURL
Angulo Pava, Jaime; Plaza, Ramón G. Unstable kink and anti-kink profile for the sine-Gordon equation on a \({\mathcal{Y}} \)-junction graph. (English) Zbl 1491.35389 Math. Z. 300, No. 3, 2885-2915 (2022). MSC: 35Q51 35Q53 35B35 35B20 35J61 47E05 47B25 35R02 PDF BibTeX XML Cite \textit{J. Angulo Pava} and \textit{R. G. Plaza}, Math. Z. 300, No. 3, 2885--2915 (2022; Zbl 1491.35389) Full Text: DOI arXiv OpenURL
Chattopadhyay, Arup; Das, Soma; Pradhan, Chandan The Koplienko-Neidhardt trace formula for unitaries – a new proof. (English) Zbl 1492.47021 J. Math. Anal. Appl. 505, No. 1, Article ID 125467, 21 p. (2022). MSC: 47A55 47B10 47B25 PDF BibTeX XML Cite \textit{A. Chattopadhyay} et al., J. Math. Anal. Appl. 505, No. 1, Article ID 125467, 21 p. (2022; Zbl 1492.47021) Full Text: DOI arXiv OpenURL
Biyarov, Bazarkan Volterra relatively compact perturbations of the Laplace operator. (English) Zbl 07598477 Parasidis, Ioannis. N. (ed.) et al., Mathematical analysis in interdisciplinary research. Cham: Springer. Springer Optim. Appl. 179, 109-118 (2021). Reviewer: Elhadj Dahia (Bou Saâda) MSC: 47B25 47A55 34L05 PDF BibTeX XML Cite \textit{B. Biyarov}, Springer Optim. Appl. 179, 109--118 (2021; Zbl 07598477) Full Text: DOI OpenURL
Dudkin, M. E.; Dyuzhenkova, O. Yu. Singularly perturbed rank one linear operators. (English) Zbl 1484.47024 Mat. Stud. 56, No. 2, 162-175 (2021). MSC: 47A55 34A37 47A10 47B25 PDF BibTeX XML Cite \textit{M. E. Dudkin} and \textit{O. Yu. Dyuzhenkova}, Mat. Stud. 56, No. 2, 162--175 (2021; Zbl 1484.47024) Full Text: DOI OpenURL
Frymark, Dale; Liaw, Constanze Perspectives on general left-definite theory. (English) Zbl 1496.47040 Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 69-89 (2021). MSC: 47B25 33C45 34B24 47-02 00A27 PDF BibTeX XML Cite \textit{D. Frymark} and \textit{C. Liaw}, Oper. Theory: Adv. Appl. 285, 69--89 (2021; Zbl 1496.47040) Full Text: DOI arXiv OpenURL
Zelenko, Leonid Conditions for discreteness of the spectrum to Schrödinger operator via non-increasing rearrangement, Lagrangian relaxation and perturbations. (English) Zbl 1496.47072 Integral Equations Oper. Theory 93, No. 3, Paper No. 37, 42 p. (2021). Reviewer: Miyeon Kwon (Platteville) MSC: 47F05 47B25 47D08 35P05 81Q10 90C10 90C27 91A12 PDF BibTeX XML Cite \textit{L. Zelenko}, Integral Equations Oper. Theory 93, No. 3, Paper No. 37, 42 p. (2021; Zbl 1496.47072) Full Text: DOI arXiv OpenURL
Angulo Pava, Jaime; Cavalcante, Márcio Linear instability criterion for the Korteweg-de Vries equation on metric star graphs. (English) Zbl 1468.35164 Nonlinearity 34, No. 5, 3373-3410 (2021). MSC: 35Q53 35Q51 35J61 35B20 35B35 47B25 35R02 PDF BibTeX XML Cite \textit{J. Angulo Pava} and \textit{M. Cavalcante}, Nonlinearity 34, No. 5, 3373--3410 (2021; Zbl 1468.35164) Full Text: DOI arXiv OpenURL
Liu, Wencai Revisiting the Christ-Kiselev’s multi-linear operator technique and its applications to Schrödinger operators. (English) Zbl 1468.34123 Nonlinearity 34, No. 3, 1288-1315 (2021). Reviewer: Jiři Lipovský (Hradec Králové) MSC: 34L40 81Q10 34E20 34L20 PDF BibTeX XML Cite \textit{W. Liu}, Nonlinearity 34, No. 3, 1288--1315 (2021; Zbl 1468.34123) Full Text: DOI arXiv OpenURL
Guan, Xinyu; Si, Jianguo; Si, Wen Parabolic invariant tori in quasi-periodically forced skew-product maps. (English) Zbl 1459.37051 J. Differ. Equations 277, 234-274 (2021). MSC: 37J40 37E40 70K43 70H08 47B80 81Q10 37A20 37D25 PDF BibTeX XML Cite \textit{X. Guan} et al., J. Differ. Equations 277, 234--274 (2021; Zbl 1459.37051) Full Text: DOI OpenURL
Mamani, Carlos R.; Verri, Alessandra A. A note on the spectrum of the Neumann Laplacian in thin periodic waveguides. (English) Zbl 1487.35257 Colloq. Math. 162, No. 2, 211-234 (2020). Reviewer: Philippe Briet (Toulon) MSC: 35P05 35J25 81Q10 35B25 PDF BibTeX XML Cite \textit{C. R. Mamani} and \textit{A. A. Verri}, Colloq. Math. 162, No. 2, 211--234 (2020; Zbl 1487.35257) Full Text: DOI arXiv OpenURL
Posilicano, Andrea On the self-adjointness of \(H+A^*+A\). (English) Zbl 07273466 Math. Phys. Anal. Geom. 23, No. 4, Paper No. 37, 30 p. (2020). MSC: 47B25 47A10 81Q10 81T16 PDF BibTeX XML Cite \textit{A. Posilicano}, Math. Phys. Anal. Geom. 23, No. 4, Paper No. 37, 30 p. (2020; Zbl 07273466) Full Text: DOI arXiv OpenURL
Adamyan, V. M. Singular perturbations of unbounded selfadjoint operators. Reverse approach. (English) Zbl 1481.47034 Kurasov, Pavel (ed.) et al., Analysis as a tool in mathematical physics. In memory of Boris Pavlov. Collected papers presented at the conferences “Spectral Theory and Applications”, Stockholm, Sweden, March 13–15, 2016 and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016”, Euler International Mathematical Institute, St. Petersburg, Russia, August 2–7, 2016. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 276, 63-79 (2020). Reviewer: Michael Perelmuter (Kyïv) MSC: 47B25 47F05 47A55 PDF BibTeX XML Cite \textit{V. M. Adamyan}, Oper. Theory: Adv. Appl. 276, 63--79 (2020; Zbl 1481.47034) Full Text: DOI OpenURL
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems. (English. Russian original) Zbl 1441.81091 Theor. Math. Phys. 201, No. 3, 1742-1770 (2019); translation from Teor. Mat. Fiz. 201, No. 3, 382-414 (2019). MSC: 81Q10 81Q20 33C10 34L40 34E10 PDF BibTeX XML Cite \textit{A. Yu. Anikin} et al., Theor. Math. Phys. 201, No. 3, 1742--1770 (2019; Zbl 1441.81091); translation from Teor. Mat. Fiz. 201, No. 3, 382--414 (2019) Full Text: DOI OpenURL
Cacciapuoti, Claudio; Pankrashkin, Konstantin; Posilicano, Andrea Self-adjoint indefinite Laplacians. (English) Zbl 1444.47039 J. Anal. Math. 139, No. 1, 155-177 (2019). Reviewer: Michael Perelmuter (Kyïv) MSC: 47B25 35J05 35B25 35Q60 78A40 78A25 35B34 PDF BibTeX XML Cite \textit{C. Cacciapuoti} et al., J. Anal. Math. 139, No. 1, 155--177 (2019; Zbl 1444.47039) Full Text: DOI arXiv OpenURL
Mityagin, Boris; Siegl, Petr Local form-subordination condition and Riesz basisness of root systems. (English) Zbl 1435.47022 J. Anal. Math. 139, No. 1, 83-119 (2019). Reviewer: Namig Guliyev (Baku) MSC: 47A55 34L10 34L40 47B25 PDF BibTeX XML Cite \textit{B. Mityagin} and \textit{P. Siegl}, J. Anal. Math. 139, No. 1, 83--119 (2019; Zbl 1435.47022) Full Text: DOI arXiv Link OpenURL
Motovilov, A. K.; Shkalikov, A. A. Preservation of the unconditional basis property under non-self-adjoint perturbations of self-adjoint operators. (English. Russian original) Zbl 1436.46012 Funct. Anal. Appl. 53, No. 3, 192-204 (2019); translation from Funkts. Anal. Prilozh. 53, No. 3, 45-60 (2019). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 46B15 47B25 47A55 47A10 46C99 PDF BibTeX XML Cite \textit{A. K. Motovilov} and \textit{A. A. Shkalikov}, Funct. Anal. Appl. 53, No. 3, 192--204 (2019; Zbl 1436.46012); translation from Funkts. Anal. Prilozh. 53, No. 3, 45--60 (2019) Full Text: DOI arXiv OpenURL
Michelangeli, Alessandro; Scandone, Raffaele Point-like perturbed fractional Laplacians through shrinking potentials of finite range. (English) Zbl 1507.35327 Complex Anal. Oper. Theory 13, No. 8, 3717-3752 (2019). MSC: 35R11 47A55 47A58 47B25 81Q10 81Q80 PDF BibTeX XML Cite \textit{A. Michelangeli} and \textit{R. Scandone}, Complex Anal. Oper. Theory 13, No. 8, 3717--3752 (2019; Zbl 1507.35327) Full Text: DOI arXiv OpenURL
Erman, Fatih; Gadella, Manuel; Uncu, Haydar The Lippmann-Schwinger formula and one dimensional models with Dirac delta interactions. (English) Zbl 1425.81092 Kuru, Şengül (ed.) et al., Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27–30, 2017. Cham: Springer. CRM Ser. Math. Phys., 309-322 (2019). MSC: 81U05 81Q05 81Q40 81Q10 34L40 PDF BibTeX XML Cite \textit{F. Erman} et al., in: Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27--30, 2017. Cham: Springer. 309--322 (2019; Zbl 1425.81092) Full Text: DOI OpenURL
Dereziński, Jan Homogeneous rank one perturbations and inverse square potentials. (English) Zbl 1482.81016 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2–8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th “School of geometry and physics”. Cham: Birkhäuser. Trends Math., 253-264 (2019). MSC: 81Q10 81Q15 47A55 PDF BibTeX XML Cite \textit{J. Dereziński}, in: Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2--8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th ``School of geometry and physics''. Cham: Birkhäuser. 253--264 (2019; Zbl 1482.81016) Full Text: DOI arXiv OpenURL
Silva, Luis O.; Toloza, Julio H. Selfadjoint extensions of the multiplication operator in de Branges spaces as singular rank-one perturbations. (English) Zbl 07089410 Complex Var. Elliptic Equ. 64, No. 9, 1477-1499 (2019). MSC: 47B25 46E22 47A70 PDF BibTeX XML Cite \textit{L. O. Silva} and \textit{J. H. Toloza}, Complex Var. Elliptic Equ. 64, No. 9, 1477--1499 (2019; Zbl 07089410) Full Text: DOI arXiv Link OpenURL
Liaw, Constanze Rank-one perturbations and Anderson-type Hamiltonians. (English) Zbl 1419.81013 Banach J. Math. Anal. 13, No. 3, 507-523 (2019). MSC: 81Q10 30E20 82B44 47B80 81Q15 PDF BibTeX XML Cite \textit{C. Liaw}, Banach J. Math. Anal. 13, No. 3, 507--523 (2019; Zbl 1419.81013) Full Text: DOI arXiv Euclid OpenURL
Karpeshina, Yulia; Shterenberg, Roman Extended states for the Schrödinger operator with quasi-periodic potential in dimension two. (English) Zbl 1442.35003 Memoirs of the American Mathematical Society 1239. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3543-1/pbk; 978-1-4704-5069-4/ebook). v, 139 p. (2019). MSC: 35-02 35J10 35P15 35P20 81Q05 81Q10 81Q15 37K55 47F05 PDF BibTeX XML Cite \textit{Y. Karpeshina} and \textit{R. Shterenberg}, Extended states for the Schrödinger operator with quasi-periodic potential in dimension two. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1442.35003) Full Text: DOI arXiv OpenURL
Kerner, Joachim A remark on the effect of random singular two-particle interactions. (English) Zbl 1414.81282 Arch. Math. 112, No. 6, 649-659 (2019). MSC: 81V55 81Q10 81Q50 34D15 34L05 34F05 PDF BibTeX XML Cite \textit{J. Kerner}, Arch. Math. 112, No. 6, 649--659 (2019; Zbl 1414.81282) Full Text: DOI arXiv OpenURL
Michelangeli, Alessandro; Ottolini, Andrea Multiplicity of self-adjoint realisations of the \((2+1)\)-fermionic model of Ter-Martirosyan-Skornyakov type. (English) Zbl 1398.81093 Rep. Math. Phys. 81, No. 1, 1-38 (2018). MSC: 81Q10 81Q12 82D55 81V55 PDF BibTeX XML Cite \textit{A. Michelangeli} and \textit{A. Ottolini}, Rep. Math. Phys. 81, No. 1, 1--38 (2018; Zbl 1398.81093) Full Text: DOI arXiv OpenURL
Georgiev, Vladimir; Michelangeli, Alessandro; Scandone, Raffaele On fractional powers of singular perturbations of the Laplacian. (English) Zbl 06901704 J. Funct. Anal. 275, No. 6, 1551-1602 (2018). MSC: 47A60 47B25 47G10 81Q10 81Q80 PDF BibTeX XML Cite \textit{V. Georgiev} et al., J. Funct. Anal. 275, No. 6, 1551--1602 (2018; Zbl 06901704) Full Text: DOI arXiv OpenURL
Hitrik, Michael; Sjöstrand, Johannes Rational invariant tori and band edge spectra for non-selfadjoint operators. (English) Zbl 1405.35118 J. Eur. Math. Soc. (JEMS) 20, No. 2, 391-457 (2018). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 35P15 35P20 37J35 37J40 53D22 58J37 58J40 PDF BibTeX XML Cite \textit{M. Hitrik} and \textit{J. Sjöstrand}, J. Eur. Math. Soc. (JEMS) 20, No. 2, 391--457 (2018; Zbl 1405.35118) Full Text: DOI arXiv OpenURL
Chō, Muneo; Ko, Eungil; Lee, Ji Eun Properties of \(m\)-complex symmetric operators. (English) Zbl 1399.47028 Stud. Univ. Babeș-Bolyai, Math. 62, No. 2, 233-248 (2017). MSC: 47A11 47B25 PDF BibTeX XML Cite \textit{M. Chō} et al., Stud. Univ. Babeș-Bolyai, Math. 62, No. 2, 233--248 (2017; Zbl 1399.47028) Full Text: DOI OpenURL
Dereziński, Jan Homogeneous rank one perturbations. (English) Zbl 1375.81096 Ann. Henri Poincaré 18, No. 10, 3249-3268 (2017). MSC: 81Q10 81Q15 81T15 81U20 81T17 81Q12 35B20 35B25 PDF BibTeX XML Cite \textit{J. Dereziński}, Ann. Henri Poincaré 18, No. 10, 3249--3268 (2017; Zbl 1375.81096) Full Text: DOI arXiv OpenURL
Morozov, Sergey; Müller, David On the virtual levels of positively projected massless Coulomb-Dirac operators. (English) Zbl 1375.81086 Ann. Henri Poincaré 18, No. 7, 2467-2497 (2017). MSC: 81Q05 82D80 35P15 47B25 35B20 PDF BibTeX XML Cite \textit{S. Morozov} and \textit{D. Müller}, Ann. Henri Poincaré 18, No. 7, 2467--2497 (2017; Zbl 1375.81086) Full Text: DOI arXiv OpenURL
Pereskokov, A. V. Semiclassical asymptotics of the spectrum near the lower boundary of spectral clusters for a Hartree-type operator. (English. Russian original) Zbl 1371.81116 Math. Notes 101, No. 6, 1009-1022 (2017); translation from Mat. Zametki 101, No. 6, 894-910 (2017). MSC: 81Q10 34L05 35Q55 81Q20 34E20 34B40 PDF BibTeX XML Cite \textit{A. V. Pereskokov}, Math. Notes 101, No. 6, 1009--1022 (2017; Zbl 1371.81116); translation from Mat. Zametki 101, No. 6, 894--910 (2017) Full Text: DOI OpenURL
Christiansen, Jacob S.; Zinchenko, Maxim Lieb-Thirring inequalities for finite and infinite gap Jacobi matrices. (English) Zbl 1368.81073 Ann. Henri Poincaré 18, No. 6, 1949-1976 (2017). MSC: 81Q10 35J05 35B20 47A63 47B36 47B10 35P15 PDF BibTeX XML Cite \textit{J. S. Christiansen} and \textit{M. Zinchenko}, Ann. Henri Poincaré 18, No. 6, 1949--1976 (2017; Zbl 1368.81073) Full Text: DOI arXiv OpenURL
Porter, Richard; Schwarz, Martin V.I. Arnold’s conjecture on avoidance of intersection, Hausdorff codimension, and a structure theorem for finite index maps. (English) Zbl 1385.47024 J. Funct. Anal. 272, No. 7, 3093-3127 (2017). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 47J07 46T20 47B25 47H14 47N50 PDF BibTeX XML Cite \textit{R. Porter} and \textit{M. Schwarz}, J. Funct. Anal. 272, No. 7, 3093--3127 (2017; Zbl 1385.47024) Full Text: DOI OpenURL
Chattopadhyay, Arup; Sinha, Kalyan B. A new proof of the Helton-Howe-Carey-Pincus trace formula. (English) Zbl 1439.47016 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXIV workshop, Białowieża, Poland, June 28 – July 4, 2015. Basel: Birkhäuser/Springer. Trends Math., 57-68 (2016). MSC: 47B20 47A55 81Q10 PDF BibTeX XML Cite \textit{A. Chattopadhyay} and \textit{K. B. Sinha}, in: Geometric methods in physics. XXXIV workshop, Białowieża, Poland, June 28 -- July 4, 2015. Basel: Birkhäuser/Springer. 57--68 (2016; Zbl 1439.47016) Full Text: DOI OpenURL
Shkalikov, A. A. Perturbations of self-adjoint and normal operators with discrete spectrum. (English. Russian original) Zbl 1367.47021 Russ. Math. Surv. 71, No. 5, 907-964 (2016); translation from Usp. Mat. Nauk 71, No. 5, 113-174 (2016). MSC: 47A55 47B15 47B25 47-02 PDF BibTeX XML Cite \textit{A. A. Shkalikov}, Russ. Math. Surv. 71, No. 5, 907--964 (2016; Zbl 1367.47021); translation from Usp. Mat. Nauk 71, No. 5, 113--174 (2016) Full Text: DOI OpenURL
Georgescu, Vladimir; Larenas, Manuel; Soffer, Avy Abstract theory of pointwise decay with applications to wave and Schrödinger equations. (English) Zbl 1367.47029 Ann. Henri Poincaré 17, No. 8, 2075-2101 (2016). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47B25 47B47 37L50 35Q41 47D08 81Q10 PDF BibTeX XML Cite \textit{V. Georgescu} et al., Ann. Henri Poincaré 17, No. 8, 2075--2101 (2016; Zbl 1367.47029) Full Text: DOI arXiv OpenURL
Koshmanenko, Volodymyr; Dudkin, Mykola The method of rigged spaces in singular perturbation theory of self-adjoint operators. (English) Zbl 1447.47010 Operator Theory: Advances and Applications 253. Basel: Birkhäuser/Springer (ISBN 978-3-319-29533-6/hbk; 978-3-319-29535-0/ebook). xx, 237 p. (2016). Reviewer: Jaydeb Sarkar (Bangalore) MSC: 47-02 47A55 47B25 PDF BibTeX XML Cite \textit{V. Koshmanenko} and \textit{M. Dudkin}, The method of rigged spaces in singular perturbation theory of self-adjoint operators. Basel: Birkhäuser/Springer (2016; Zbl 1447.47010) Full Text: DOI OpenURL
Vdovenko, T. I.; Dudkin, M. Ye. Singular rank one nonselfadjoint perturbation of selfadjoint operator. (Ukrainian. English summary) Zbl 1363.47028 Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 1, 57-73 (2015). MSC: 47A55 PDF BibTeX XML Cite \textit{T. I. Vdovenko} and \textit{M. Ye. Dudkin}, Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 1, 57--73 (2015; Zbl 1363.47028) OpenURL
Trunk, Carsten Locally definitizable operators: the local structure of the spectrum. (English) Zbl 1422.47046 Alpay, Daniel (ed.), Operator theory. With 51 figures and 2 tables. In 2 volumes. Springer Reference. Basel: Springer. 241-259 (2015). Reviewer: Edward L. Pekarev (Odessa) MSC: 47B50 46C20 47A06 47A55 47A10 47-02 PDF BibTeX XML Cite \textit{C. Trunk}, in: Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer. 241--259 (2015; Zbl 1422.47046) Full Text: DOI Link OpenURL
Prabhu, Kartik; Wald, Robert M. Black hole instabilities and exponential growth. (English) Zbl 1326.83053 Commun. Math. Phys. 340, No. 1, 253-290 (2015). MSC: 83C57 83C75 83C05 83C25 83C15 81T30 47B25 83E15 83C40 PDF BibTeX XML Cite \textit{K. Prabhu} and \textit{R. M. Wald}, Commun. Math. Phys. 340, No. 1, 253--290 (2015; Zbl 1326.83053) Full Text: DOI arXiv OpenURL
Lungenstrass, Tomás; Raikov, Georgi Local spectral asymptotics for metric perturbations of the Landau Hamiltonian. (English) Zbl 1327.35279 Anal. PDE 8, No. 5, 1237-1262 (2015). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P20 35J10 81Q10 PDF BibTeX XML Cite \textit{T. Lungenstrass} and \textit{G. Raikov}, Anal. PDE 8, No. 5, 1237--1262 (2015; Zbl 1327.35279) Full Text: DOI arXiv OpenURL
Cornean, Horia D.; Purice, Radu Spectral edge regularity of magnetic Hamiltonians. (English) Zbl 1321.47028 J. Lond. Math. Soc., II. Ser. 92, No. 1, 89-104 (2015). MSC: 47A55 35J10 35Q40 81Q10 PDF BibTeX XML Cite \textit{H. D. Cornean} and \textit{R. Purice}, J. Lond. Math. Soc., II. Ser. 92, No. 1, 89--104 (2015; Zbl 1321.47028) Full Text: DOI arXiv OpenURL
Lotoreichik, Vladimir; Simonov, Sergey Spectral analysis of the half-line Kronig-Penney model with Wigner-von Neumann perturbations. (English) Zbl 1303.47063 Rep. Math. Phys. 74, No. 1, 45-72 (2014). MSC: 47E05 34B24 34L40 81Q10 PDF BibTeX XML Cite \textit{V. Lotoreichik} and \textit{S. Simonov}, Rep. Math. Phys. 74, No. 1, 45--72 (2014; Zbl 1303.47063) Full Text: DOI arXiv OpenURL
Wachsmuth, Jakob; Teufel, Stefan Effective Hamiltonians for constrained quantum systems. (English) Zbl 1300.81046 Mem. Am. Math. Soc. 1083, v, 83 p. (2014). MSC: 81Q35 81Q15 35Q41 58J37 81Q70 81Q05 81Q10 81Q37 82D77 81V55 PDF BibTeX XML Cite \textit{J. Wachsmuth} and \textit{S. Teufel}, Effective Hamiltonians for constrained quantum systems. Providence, RI: American Mathematical Society (AMS) (2014; Zbl 1300.81046) Full Text: DOI arXiv OpenURL
Posilicano, Andrea On the common point spectrum of pairs of self-adjoint extensions. (English) Zbl 1313.47044 Methods Funct. Anal. Topol. 20, No. 1, 59-67 (2014). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47B25 47A55 47E05 47F05 PDF BibTeX XML Cite \textit{A. Posilicano}, Methods Funct. Anal. Topol. 20, No. 1, 59--67 (2014; Zbl 1313.47044) Full Text: arXiv OpenURL
Mantile, Andrea Wave operators, similarity and dynamics for a class of Schrödinger operators with generic non-mixed interface conditions in 1D. (English) Zbl 1290.81031 J. Math. Phys. 54, No. 8, 082104, 29 p. (2013). MSC: 81Q10 81Q12 34L40 34D15 82C70 47D06 82C24 PDF BibTeX XML Cite \textit{A. Mantile}, J. Math. Phys. 54, No. 8, 082104, 29 p. (2013; Zbl 1290.81031) Full Text: DOI arXiv OpenURL
Durante, Tiziana; Rhandi, Abdelaziz On the essential self-adjointness of Ornstein-Uhlenbeck operators perturbed by inverse-square potentials. (English) Zbl 1273.47045 Discrete Contin. Dyn. Syst., Ser. S 6, No. 3, 649-655 (2013). Reviewer: Andrej V. Bulinski (Moskva) MSC: 47B25 47D06 35B25 PDF BibTeX XML Cite \textit{T. Durante} and \textit{A. Rhandi}, Discrete Contin. Dyn. Syst., Ser. S 6, No. 3, 649--655 (2013; Zbl 1273.47045) Full Text: DOI OpenURL
Gadylshin, R. R.; Khusnullin, I. Kh. Perturbation of a periodic operator by a narrow potential. (English. Russian original) Zbl 1280.81055 Theor. Math. Phys. 173, No. 1, 1438-1444 (2012); translation from Teor. Mat. Fiz. 173, No. 1, 127-134 (2012). MSC: 81Q15 81Q05 34L40 81Q10 34D10 PDF BibTeX XML Cite \textit{R. R. Gadylshin} and \textit{I. Kh. Khusnullin}, Theor. Math. Phys. 173, No. 1, 1438--1444 (2012; Zbl 1280.81055); translation from Teor. Mat. Fiz. 173, No. 1, 127--134 (2012) Full Text: DOI OpenURL
Gil’, Michael Perturbations of operator functions in a Hilbert space. (English) Zbl 1282.47015 Commun. Math. Anal. 13, No. 2, 108-115 (2012). Reviewer: Vladimir V. Peller (East Lansing) MSC: 47A56 47A55 47A60 PDF BibTeX XML Cite \textit{M. Gil'}, Commun. Math. Anal. 13, No. 2, 108--115 (2012; Zbl 1282.47015) Full Text: Euclid OpenURL
Shkalikov, A. A. Eigenvalue asymptotics of perturbed selfadjoint operators. (English) Zbl 1243.47032 Methods Funct. Anal. Topol. 18, No. 1, 79-89 (2012). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47A55 47B25 PDF BibTeX XML Cite \textit{A. A. Shkalikov}, Methods Funct. Anal. Topol. 18, No. 1, 79--89 (2012; Zbl 1243.47032) Full Text: arXiv OpenURL
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin Many parameter Hölder perturbation of unbounded operators. (English) Zbl 1243.47031 Math. Ann. 353, No. 2, 519-522 (2012). Reviewer: Kungching Chang (Beijing) MSC: 47A55 47A56 47B25 PDF BibTeX XML Cite \textit{A. Kriegl} et al., Math. Ann. 353, No. 2, 519--522 (2012; Zbl 1243.47031) Full Text: DOI arXiv OpenURL
Krishna, M. Localization and de-localization in disordered systems. (English) Zbl 1341.82044 Subrahmanyam, P. V. (ed.) et al., Proceedings of the national symposium on mathematical methods and applications, NSMMA, Chennai, India, December 22, 2010. Invited talks. Chennai: Indian Institute of Technology Madras. 24-36 (2011). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B44 60H25 47B80 47A10 82D30 82D25 81Q10 PDF BibTeX XML Cite \textit{M. Krishna}, in: Proceedings of the national symposium on mathematical methods and applications, NSMMA, Chennai, India, December 22, 2010. Invited talks. Chennai: Indian Institute of Technology Madras. 24--36 (2011; Zbl 1341.82044) OpenURL
Hidaka, Takeru Existence of a ground state for the Nelson model with a singular perturbation. (English) Zbl 1314.81071 J. Math. Phys. 52, No. 2, 022102, 21 p. (2011). MSC: 81Q05 81Q10 35J10 35B20 47B25 PDF BibTeX XML Cite \textit{T. Hidaka}, J. Math. Phys. 52, No. 2, 022102, 21 p. (2011; Zbl 1314.81071) Full Text: DOI arXiv OpenURL
Duchêne, Vincent; Marzuola, Jeremy L.; Weinstein, Michael I. Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications. (English) Zbl 1314.81085 J. Math. Phys. 52, No. 1, 013505, 17 p. (2011). MSC: 81Q10 34L40 46F10 34D15 PDF BibTeX XML Cite \textit{V. Duchêne} et al., J. Math. Phys. 52, No. 1, 013505, 17 p. (2011; Zbl 1314.81085) Full Text: DOI arXiv OpenURL
Kachurivska, H. M.; Storozh, O. G. Accretive and nonnegative perturbations of an abstract analogy for the operator of the third boundary problem and corresponding variational problems. (Russian. English summary) Zbl 1311.47046 Mat. Stud. 36, No. 2, 201-212 (2011). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47B44 47E05 47B25 81Q15 PDF BibTeX XML Cite \textit{H. M. Kachurivska} and \textit{O. G. Storozh}, Mat. Stud. 36, No. 2, 201--212 (2011; Zbl 1311.47046) OpenURL
BelHadjAli, Hichem; Ben Amor, Ali; Brasche, Johannes F. Large coupling convergence: overview and new results. (English) Zbl 1264.47006 Demuth, Michael (ed.) et al., Partial differential equations and spectral theory. Basel: Birkhäuser (ISBN 978-3-0348-0023-5/hbk; 978-3-0348-0024-2/ebook). Operator Theory: Advances and Applications 211. Advances in Partial Differential Equations, 73-117 (2011). Reviewer: Stepan Agop Tersian (Rousse) MSC: 47A07 47A05 47B25 PDF BibTeX XML Cite \textit{H. BelHadjAli} et al., Oper. Theory: Adv. Appl. 211, 73--117 (2011; Zbl 1264.47006) Full Text: DOI OpenURL
Kadchenko, S. I.; Ryazanova, L. S. Numerical method for finding the eigenvalues of discrete lower semibounded operators. (Numeric method of finding the eigenvalues for the discrete lower semibounded operators.) (Russian. English summary) Zbl 1262.47030 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 17(234), No. 8, 46-51 (2011). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 47A75 47A55 65J10 PDF BibTeX XML Cite \textit{S. I. Kadchenko} and \textit{L. S. Ryazanova}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 17(234), No. 8, 46--51 (2011; Zbl 1262.47030) OpenURL
Agmon, Shmuel; Herbst, Ira; Sasane, Sara Maad Persistence of embedded eigenvalues. (English) Zbl 1244.47016 J. Funct. Anal. 261, No. 2, 451-477 (2011). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 47A55 35P05 47B25 PDF BibTeX XML Cite \textit{S. Agmon} et al., J. Funct. Anal. 261, No. 2, 451--477 (2011; Zbl 1244.47016) Full Text: DOI arXiv OpenURL
Dinu, Victor; Jensen, Arne; Nenciu, Gheorghe Perturbation of near threshold eigenvalues: crossover from exponential to non-exponential decay laws. (English) Zbl 1217.81082 Rev. Math. Phys. 23, No. 1, 83-125 (2011). MSC: 81Q15 81Q10 35B25 35J10 47A55 47N50 81U05 81U99 PDF BibTeX XML Cite \textit{V. Dinu} et al., Rev. Math. Phys. 23, No. 1, 83--125 (2011; Zbl 1217.81082) Full Text: DOI OpenURL
Azizov, T. Ya.; Behrndt, J.; Jonas, P.; Trunk, C. Spectral points of definite type and type \(\pi \) for linear operators and relations in Krein spaces. (English) Zbl 1220.47052 J. Lond. Math. Soc., II. Ser. 83, No. 3, 768-788 (2011). Reviewer: Edward L. Pekarev (Odessa) MSC: 47B50 46C20 47A06 47A55 PDF BibTeX XML Cite \textit{T. Ya. Azizov} et al., J. Lond. Math. Soc., II. Ser. 83, No. 3, 768--788 (2011; Zbl 1220.47052) Full Text: DOI Link OpenURL
Bordeaux Montrieux, William Almost sure Weyl law for a differential system in dimension 1. (Loi de Weyl presque sûre pour un système différentiel en dimension 1.) (French. English summary) Zbl 1215.47037 Ann. Henri Poincaré 12, No. 1, 173-204 (2011). Reviewer: Mihai Pascu (Bucureşti) MSC: 47F05 34L20 34L40 34E10 35P05 35S05 47G30 PDF BibTeX XML Cite \textit{W. Bordeaux Montrieux}, Ann. Henri Poincaré 12, No. 1, 173--204 (2011; Zbl 1215.47037) Full Text: DOI arXiv OpenURL
Albeverio, S.; Cognola, G.; Spreafico, M.; Zerbini, S. Singular perturbations with boundary conditions and the Casimir effect in the half space. (English) Zbl 1311.47030 J. Math. Phys. 51, No. 6, 063502, 38 p. (2010). MSC: 47B25 35J05 35B25 46F10 81T55 37C30 58J52 PDF BibTeX XML Cite \textit{S. Albeverio} et al., J. Math. Phys. 51, No. 6, 063502, 38 p. (2010; Zbl 1311.47030) Full Text: DOI arXiv OpenURL
Rusu, Galina Singular limits of solutions to the Cauchy problem for second-order linear differential equations in Hilbert spaces. (English) Zbl 1192.35015 Bul. Acad. Ştiinţe Repub. Mold., Mat. 2009, No. 3(61), 81-95 (2009). MSC: 35B25 35L15 35L90 PDF BibTeX XML Cite \textit{G. Rusu}, Bul. Acad. Științe Repub. Mold., Mat. 2009, No. 3(61), 81--95 (2009; Zbl 1192.35015) Full Text: Link OpenURL
Le Peutrec, D. Small singular values of an extracted matrix of a Witten complex. (English) Zbl 1181.81050 Cubo 11, No. 4, 49-57 (2009). MSC: 81Q10 15A18 34L15 58J10 58J37 PDF BibTeX XML Cite \textit{D. Le Peutrec}, Cubo 11, No. 4, 49--57 (2009; Zbl 1181.81050) OpenURL
Dinu, Victor; Jensen, Arne; Nenciu, Gheorghe Nonexponential decay laws in perturbation theory of near threshold eigenvalues. (English) Zbl 1200.81062 J. Math. Phys. 50, No. 1, 013516, 20 p. (2009). MSC: 81Q10 35B25 35J10 47A55 47N50 81U05 PDF BibTeX XML Cite \textit{V. Dinu} et al., J. Math. Phys. 50, No. 1, 013516, 20 p. (2009; Zbl 1200.81062) Full Text: DOI OpenURL
Albeverio, Sergio; Kuzhel, Sergei; Nizhnik, Leonid P. On the perturbation theory of self-adjoint operators. (English) Zbl 1182.47013 Tokyo J. Math. 31, No. 2, 273-292 (2008). Reviewer: Miyeon Kwon (Platteville, WI) MSC: 47A55 47A10 81Q10 PDF BibTeX XML Cite \textit{S. Albeverio} et al., Tokyo J. Math. 31, No. 2, 273--292 (2008; Zbl 1182.47013) Full Text: DOI OpenURL
Hitrik, Michael; Sjöstrand, Johannes Rational invariant tori, phase space tunneling, and spectra for non-selfadjointoperators in dimension 2. (English) Zbl 1171.35131 Ann. Sci. Éc. Norm. Supér. (4) 41, No. 4, 513-573 (2008). Reviewer: Leszek Skrzypczak (Poznań) MSC: 35S05 35P20 58J40 PDF BibTeX XML Cite \textit{M. Hitrik} and \textit{J. Sjöstrand}, Ann. Sci. Éc. Norm. Supér. (4) 41, No. 4, 513--573 (2008; Zbl 1171.35131) Full Text: DOI arXiv Link OpenURL
Grieser, Daniel Spectra of graph neighborhoods and scattering. (English) Zbl 1183.58027 Proc. Lond. Math. Soc. (3) 97, No. 3, 718-752 (2008). Reviewer: Laurent Guillopé (Nantes) MSC: 58J50 47A55 81Q10 35P99 58J37 PDF BibTeX XML Cite \textit{D. Grieser}, Proc. Lond. Math. Soc. (3) 97, No. 3, 718--752 (2008; Zbl 1183.58027) Full Text: DOI arXiv OpenURL
Brüning, Jochen; Geyler, Vladimir; Pankrashkin, Konstantin Spectra of self-adjoint extensions and applications to solvable Schrödinger operators. (English) Zbl 1163.81007 Rev. Math. Phys. 20, No. 1, 1-70 (2008). Reviewer: Piotr Garbaczewski (Opole) MSC: 81Q10 82B20 82C22 47B25 47A10 46N50 PDF BibTeX XML Cite \textit{J. Brüning} et al., Rev. Math. Phys. 20, No. 1, 1--70 (2008; Zbl 1163.81007) Full Text: DOI arXiv OpenURL
Bozhok, R. V.; Koshmanenko, V. D. Parametrization of supersingular perturbations in the method of rigged Hilbert spaces. (English) Zbl 1176.47015 Russ. J. Math. Phys. 14, No. 4, 409-416 (2007). MSC: 47A55 47A70 47B25 35B25 81Q15 PDF BibTeX XML Cite \textit{R. V. Bozhok} and \textit{V. D. Koshmanenko}, Russ. J. Math. Phys. 14, No. 4, 409--416 (2007; Zbl 1176.47015) Full Text: DOI OpenURL
Hager, Mildred Bound on the number of eigenvalues near the boundary of the pseudospectrum. (English) Zbl 1130.47029 Proc. Am. Math. Soc. 135, No. 12, 3867-3873 (2007). Reviewer: Petru A. Cojuhari (Kraków) MSC: 47G30 47A10 34E10 47G10 47A75 PDF BibTeX XML Cite \textit{M. Hager}, Proc. Am. Math. Soc. 135, No. 12, 3867--3873 (2007; Zbl 1130.47029) Full Text: DOI OpenURL
Kurasov, Pavel; Naboko, Serguei Wigner-von Neumann perturbations of a periodic potential: spectral singularities in bands. (English) Zbl 1170.34355 Math. Proc. Camb. Philos. Soc. 142, No. 1, 161-183 (2007). Reviewer: Rostyslav Hryniv (Lviv) MSC: 34L40 47A11 47A55 47E05 47N50 34E10 35J10 81Q10 PDF BibTeX XML Cite \textit{P. Kurasov} and \textit{S. Naboko}, Math. Proc. Camb. Philos. Soc. 142, No. 1, 161--183 (2007; Zbl 1170.34355) Full Text: DOI OpenURL
Albeverio, S.; Bozhok, R.; Koshmanenko, V. The rigged Hilbert spaces approach in singular perturbation theory. (English) Zbl 1139.47012 Rep. Math. Phys. 58, No. 2, 227-246 (2006). MSC: 47A55 47A70 47B25 PDF BibTeX XML Cite \textit{S. Albeverio} et al., Rep. Math. Phys. 58, No. 2, 227--246 (2006; Zbl 1139.47012) Full Text: DOI OpenURL
Hager, Mildred Semiclassical spectral instability for non-self-adjoint operators. I: A model. (Instabilité spectrale semiclassique pour des opérateurs non-autoadjoints. I: un modèle.) (French) Zbl 1131.34057 Ann. Fac. Sci. Toulouse, Math. (6) 15, No. 2, 243-280 (2006). Reviewer: Rainer Picard (Dresden) MSC: 34L05 47E05 34D10 PDF BibTeX XML Cite \textit{M. Hager}, Ann. Fac. Sci. Toulouse, Math. (6) 15, No. 2, 243--280 (2006; Zbl 1131.34057) Full Text: DOI EuDML OpenURL
Jakšić, Vojkan Topics in spectral theory. (English) Zbl 1119.47006 Attal, Stéphane (ed.) et al., Open quantum systems I. The Hamiltonian approach. Lecture notes of the summer school, Grenoble, France June 16th – July 4th 2003. Berlin: Springer (ISBN 3-540-30991-8/pbk). Lecture Notes in Mathematics 1880, 235-316 (2006). Reviewer: Kun Soo Chang (Seoul) MSC: 47A10 47-01 47A55 47B25 47N50 81Q10 81V45 PDF BibTeX XML Cite \textit{V. Jakšić}, Lect. Notes Math. 1880, 235--316 (2006; Zbl 1119.47006) Full Text: DOI Link OpenURL
Borisov, D. I. On the spectrum of the Schrödinger operator perturbed by a rapidly oscillating potential. (Russian, English) Zbl 1134.34337 J. Math. Sci., New York 139, No. 1, 6243-6322 (2006); translation from Probl. Mat. Anal. 33, 13-78 (2006). MSC: 34L20 34L40 47E05 81Q10 81Q15 PDF BibTeX XML Cite \textit{D. I. Borisov}, Probl. Mat. Anal. 33, 13--78 (2006; Zbl 1134.34337); translation from Probl. Mat. Anal. 33, 13--78 (2006) Full Text: arXiv OpenURL
Koshmanenko, V. D.; Tugaj, H. V. Jacobi matrices associated with the inverse eigenvalue problem in the theory of singular perturbations of self-adjoint operators. (Ukrainian, English) Zbl 1118.47008 Ukr. Mat. Zh. 58, No. 12, 1651-1662 (2006); translation in Ukr. Math. J. 58, No. 12, 1876-1890 (2006). MSC: 47A55 47B25 47A75 PDF BibTeX XML Cite \textit{V. D. Koshmanenko} and \textit{H. V. Tugaj}, Ukr. Mat. Zh. 58, No. 12, 1651--1662 (2006; Zbl 1118.47008); translation in Ukr. Math. J. 58, No. 12, 1876--1890 (2006) Full Text: DOI OpenURL
Hitrik, Michael Lagrangian tori and spectra for non-selfadjoint operators (based on joint works with J. Sjöstrand and S. Vũ Ngọc). (English) Zbl 1122.35088 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 2005-2006, XXIV1-XXIV14 (2006). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35P20 37J40 58J40 47A55 81Q10 PDF BibTeX XML Cite \textit{M. Hitrik}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2005--2006, XXIV1-XXIV14 (2006; Zbl 1122.35088) Full Text: EuDML OpenURL
Falomir, H.; Pisani, P. A. G. Krein’s formula and heat-kernel expansion for some differential operators with a regular singularity. (English) Zbl 1103.81015 J. Phys. A, Math. Gen. 39, No. 21, 6333-6340 (2006). MSC: 81Q10 47A55 47E05 58J35 58J37 81T16 PDF BibTeX XML Cite \textit{H. Falomir} and \textit{P. A. G. Pisani}, J. Phys. A, Math. Gen. 39, No. 21, 6333--6340 (2006; Zbl 1103.81015) Full Text: DOI arXiv OpenURL
Langer, H.; Markus, A.; Matsaev, V. Self-adjoint analytic operator functions and their local spectral function. (English) Zbl 1125.47010 J. Funct. Anal. 235, No. 1, 193-225 (2006). Reviewer: Marisela Domínguez (Caracas) MSC: 47A56 47B50 47A55 47A10 47A11 PDF BibTeX XML Cite \textit{H. Langer} et al., J. Funct. Anal. 235, No. 1, 193--225 (2006; Zbl 1125.47010) Full Text: DOI OpenURL
Barakat, T. The asymptotic iteration method for the eigenenergies of the Schrödinger equation with the potential \(V(r) = -Z/r + gr + \lambda r^2\). (English) Zbl 1091.81024 J. Phys. A, Math. Gen. 39, No. 4, 823-831 (2006). MSC: 81Q10 81-04 81Q15 41A60 34E10 PDF BibTeX XML Cite \textit{T. Barakat}, J. Phys. A, Math. Gen. 39, No. 4, 823--831 (2006; Zbl 1091.81024) Full Text: DOI OpenURL
Caliceti, Emanuela On the spectra of a class of \(\mathcal{PT}\)-symmetric quantum nonlinear oscillators. (English) Zbl 1465.81035 Czech. J. Phys. 55, No. 9, 1077-1080 (2005). MSC: 81Q15 34D10 81Q10 PDF BibTeX XML Cite \textit{E. Caliceti}, Czech. J. Phys. 55, No. 9, 1077--1080 (2005; Zbl 1465.81035) Full Text: DOI OpenURL
Hager, Mildred Semi-classical spectral instability of non-selfadjoint operators. (Instabilité spectrale semiclassique d’opérateurs non-autoadjoints.) (French) Zbl 1367.47003 Palaiseau: École Polytechnique (Diss.). 158 p. (2005). MSC: 47-02 47A25 47A10 PDF BibTeX XML Cite \textit{M. Hager}, Instabilité spectrale semiclassique d'opérateurs non-autoadjoints. Palaiseau: École Polytechnique (Diss.) (2005; Zbl 1367.47003) Full Text: HAL OpenURL
Fedotov, Alexander; Klopp, Frédéric Renormalization of exponential sums and matrix cocycles. (English) Zbl 1292.34049 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2004-2005, Exp. No. 16, 10 p. (2005). MSC: 34E05 34E20 34L05 34L40 11L05 37E05 81Q10 PDF BibTeX XML Cite \textit{A. Fedotov} and \textit{F. Klopp}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2004--2005, Exp. No. 16, 10 p. (2005; Zbl 1292.34049) OpenURL
Gesztesy, F.; Latushkin, Y.; Mitrea, M.; Zinchenko, M. Nonselfadjoint operators, infinite determinants, and some applications. (English) Zbl 1201.47028 Russ. J. Math. Phys. 12, No. 4, 443-471 (2005); erratum ibid. 27, No. 3, 410 (2020). MSC: 47B25 35J10 35P05 47A10 47A40 47A55 47F05 81U05 PDF BibTeX XML Cite \textit{F. Gesztesy} et al., Russ. J. Math. Phys. 12, No. 4, 443--471 (2005; Zbl 1201.47028) Full Text: arXiv Link OpenURL
Kuzhel, Sergei; Moskalyova, Uliya The Lax–Phillips scattering approach and singular perturbation of Schrödinger operator homogeneous with respect to scaling transformations. (English) Zbl 1101.47007 J. Math. Kyoto Univ. 45, No. 2, 265-286 (2005). Reviewer: Mihai Pascu (Bucureşti) MSC: 47A40 47B25 35P25 81U05 PDF BibTeX XML Cite \textit{S. Kuzhel} and \textit{U. Moskalyova}, J. Math. Kyoto Univ. 45, No. 2, 265--286 (2005; Zbl 1101.47007) Full Text: DOI OpenURL
Janavičius, Arvydas Juozapas Semi-relativistic model for charmed and bottom mesons. (English) Zbl 1084.81078 Fiz. Mat. Fak. Moksl. Semin. Darb. 8, 35-45 (2005). MSC: 81V35 81Q10 81Q15 34E10 PDF BibTeX XML Cite \textit{A. J. Janavičius}, Fiz. Mat. Fak. Moksl. Semin. Darb. 8, 35--45 (2005; Zbl 1084.81078) OpenURL
Milatovic, Ognjen Positive perturbations of self-adjoint Schrödinger operators on Riemannian manifolds. (English) Zbl 1081.58015 Int. J. Geom. Methods Mod. Phys. 2, No. 4, 543-552 (2005). MSC: 58J37 58J50 47B25 81Q10 PDF BibTeX XML Cite \textit{O. Milatovic}, Int. J. Geom. Methods Mod. Phys. 2, No. 4, 543--552 (2005; Zbl 1081.58015) Full Text: DOI OpenURL
Hitrik, Michael; Sjöstrand, Johannes Nonselfadjoint perturbations of selfadjoint operators in two dimensions: II. Vanishing averages. (English) Zbl 1096.47053 Commun. Partial Differ. Equations 30, No. 7, 1065-1106 (2005). Reviewer: Alberto Parmeggiani (Bologna) MSC: 47G30 37J40 35P15 35P20 37J45 47A55 53D12 58J37 58J40 81Q10 PDF BibTeX XML Cite \textit{M. Hitrik} and \textit{J. Sjöstrand}, Commun. Partial Differ. Equations 30, No. 7, 1065--1106 (2005; Zbl 1096.47053) Full Text: DOI arXiv OpenURL
Pankrashkin, Konstantin Reducible boundary conditions in coupled channels. (English) Zbl 1086.81044 J. Phys. A, Math. Gen. 38, No. 41, 8979-8992 (2005). Reviewer: Matteo Franca (Ancona) MSC: 81Q10 34L30 47B25 15A90 PDF BibTeX XML Cite \textit{K. Pankrashkin}, J. Phys. A, Math. Gen. 38, No. 41, 8979--8992 (2005; Zbl 1086.81044) Full Text: DOI arXiv OpenURL
Kirillov, O. N.; Seĭranyan, A. P. Instability of distributed nonconservative systems induced by small dissipation. (Russian) Zbl 1084.34530 Dokl. Akad. Nauk, Ross. Akad. Nauk 402, No. 4, 460-466 (2005). Reviewer: Andrei Zemskov (Moskva) MSC: 34D10 34C23 34D20 70J25 34L15 47J15 74K10 PDF BibTeX XML Cite \textit{O. N. Kirillov} and \textit{A. P. Seĭranyan}, Dokl. Akad. Nauk, Ross. Akad. Nauk 402, No. 4, 460--466 (2005; Zbl 1084.34530) OpenURL
Shondin, Yuri On approximation of high order singular perturbations. (English) Zbl 1070.81052 J. Phys. A, Math. Gen. 38, No. 22, 5023-5039 (2005). MSC: 81Q10 81Q15 47B25 46C20 47B50 34D15 PDF BibTeX XML Cite \textit{Y. Shondin}, J. Phys. A, Math. Gen. 38, No. 22, 5023--5039 (2005; Zbl 1070.81052) Full Text: DOI OpenURL
Posilicano, Andrea Singular perturbations of abstract wave equations. (English) Zbl 1072.35021 J. Funct. Anal. 223, No. 2, 259-310 (2005). Reviewer: Jiaqi Mo (Wuhu) MSC: 35B25 35L05 35L90 47A55 47B25 47N20 81Q05 81Q15 PDF BibTeX XML Cite \textit{A. Posilicano}, J. Funct. Anal. 223, No. 2, 259--310 (2005; Zbl 1072.35021) Full Text: DOI arXiv OpenURL
Fedotov, Alexander; Klopp, Frédéric On the absolutely continuous spectrum of one-dimensional quasi-periodic Schrödinger operators in the adiabatic limit. (English) Zbl 1101.34069 Trans. Am. Math. Soc. 357, No. 11, 4481-4516 (2005). MSC: 34L40 34E20 34M60 47A10 47E05 81Q05 81Q10 PDF BibTeX XML Cite \textit{A. Fedotov} and \textit{F. Klopp}, Trans. Am. Math. Soc. 357, No. 11, 4481--4516 (2005; Zbl 1101.34069) Full Text: DOI OpenURL
Behrndt, Jussi; Jonas, Peter On compact perturbations of locally definitizable selfadjoint relations in Krein spaces. (English) Zbl 1083.47030 Integral Equations Oper. Theory 52, No. 1, 17-44 (2005). Reviewer: Trandafir Balan (Craiova) MSC: 47B50 47A55 47B40 46C20 PDF BibTeX XML Cite \textit{J. Behrndt} and \textit{P. Jonas}, Integral Equations Oper. Theory 52, No. 1, 17--44 (2005; Zbl 1083.47030) Full Text: DOI Link OpenURL
Bourgain, J. Green’s function estimates for lattice Schrödinger operators and applications. (English) Zbl 1137.35001 Annals of Mathematics Studies 158. Princeton, NJ: Princeton University Press (ISBN 0-691-12098-6/pbk; 0-691-12097-8/hbk). x, 173 p. (2005). Reviewer: Michal Fečkan (Bratislava) MSC: 35-02 35Q40 37K55 37N20 47N50 81Q10 35A08 35Q55 47B80 82B44 PDF BibTeX XML Cite \textit{J. Bourgain}, Green's function estimates for lattice Schrödinger operators and applications. Princeton, NJ: Princeton University Press (2005; Zbl 1137.35001) Full Text: DOI OpenURL
Gadyl’shin, R. R. Local perturbations of the Schrödinger operator on the plane. (English) Zbl 1178.35146 Theor. Math. Phys. 138, No. 1, 33-44 (2004); translation from Teor. Mat. Fiz. 138, No. 1, 41-54 (2004). MSC: 35J10 35B20 81Q10 81Q15 PDF BibTeX XML Cite \textit{R. R. Gadyl'shin}, Theor. Math. Phys. 138, No. 1, 33--44 (2004; Zbl 1178.35146); translation from Teor. Mat. Fiz. 138, No. 1, 41--54 (2004) Full Text: DOI OpenURL
Zinn-Justin, Jean; Jentschura, Ulrich D. Multi-instantons and exact results. I: conjectures, WKB expansions, and instanton interactions. (English) Zbl 1054.81020 Ann. Phys. 313, No. 1, 197-267 (2004). MSC: 81Q15 34E10 81Q20 81Q10 81Q05 PDF BibTeX XML Cite \textit{J. Zinn-Justin} and \textit{U. D. Jentschura}, Ann. Phys. 313, No. 1, 197--267 (2004; Zbl 1054.81020) Full Text: DOI arXiv OpenURL