Carey, Alan; Levitina, Galina; Potapov, Denis; Sukochev, Fedor The Witten index and the spectral shift function. (English) Zbl 07556797 Rev. Math. Phys. 34, No. 5, Article ID 2250011, 44 p. (2022). MSC: 81Q10 81U99 19K56 47A53 PDF BibTeX XML Cite \textit{A. Carey} et al., Rev. Math. Phys. 34, No. 5, Article ID 2250011, 44 p. (2022; Zbl 07556797) Full Text: DOI OpenURL
Fang, Yan-Long; Strohmaier, Alexander Trace singularities in obstacle scattering and the Poisson relation for the relative trace. (English. French summary) Zbl 1484.35306 Ann. Math. Qué. 46, No. 1, 55-75 (2022). MSC: 35P25 35P20 35J25 47A40 81T55 PDF BibTeX XML Cite \textit{Y.-L. Fang} and \textit{A. Strohmaier}, Ann. Math. Qué. 46, No. 1, 55--75 (2022; Zbl 1484.35306) Full Text: DOI OpenURL
Chattopadhyay, Arup; Das, Soma; Pradhan, Chandan The Koplienko-Neidhardt trace formula for unitaries – a new proof. (English) Zbl 07412956 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 07412956) Full Text: DOI arXiv OpenURL
Kačinskaitė, Roma; Matsumoto, Kohji The discrete case of the mixed joint universality for a class of certain partial zeta-functions. (English) Zbl 1483.11191 Taiwanese J. Math. 25, No. 4, 647-663 (2021). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11M36 11M06 11M41 41A30 30E10 PDF BibTeX XML Cite \textit{R. Kačinskaitė} and \textit{K. Matsumoto}, Taiwanese J. Math. 25, No. 4, 647--663 (2021; Zbl 1483.11191) Full Text: DOI arXiv OpenURL
Li, Shi-Lin; Liu, Yuan-Yuan; Li, Wen-Du; Dai, Wu-Sheng Scalar field in Reissner-Nordström spacetime: bound state and scattering state (with appendix on eliminating oscillation in partial sum approximation of periodic function). (English) Zbl 1471.81105 Ann. Phys. 432, Article ID 168578, 27 p. (2021). MSC: 81V22 83C15 83C57 81U24 81U20 31B10 81Q15 35P05 PDF BibTeX XML Cite \textit{S.-L. Li} et al., Ann. Phys. 432, Article ID 168578, 27 p. (2021; Zbl 1471.81105) Full Text: DOI arXiv OpenURL
Dimassi, Mouez Elliptic differential operators with periodic and oscillating decaying coefficients. (English) Zbl 1466.81018 Jeribi, Aref (ed.), Operator theory. Proceedings of the international conference on operator theory, Hammamet, Tunisia, April 30 – May 3, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 1-24 (2021). MSC: 81Q10 35P20 47A55 47N50 81Q15 PDF BibTeX XML Cite \textit{M. Dimassi}, in: Operator theory. Proceedings of the international conference on operator theory, Hammamet, Tunisia, April 30 -- May 3, 2018. Berlin: De Gruyter. 1--24 (2021; Zbl 1466.81018) Full Text: DOI OpenURL
Alpay, Daniel; Kaptanoğlu, H. Turgay Shift operators on harmonic Hilbert function spaces on real balls and von Neumann inequality. (English) Zbl 07346920 J. Funct. Anal. 281, No. 4, Article ID 109058, 32 p. (2021). Reviewer: Trieu Le (Toledo) MSC: 47A13 47B32 33C55 31B05 33C45 42B35 46E20 46E22 47B37 PDF BibTeX XML Cite \textit{D. Alpay} and \textit{H. T. Kaptanoğlu}, J. Funct. Anal. 281, No. 4, Article ID 109058, 32 p. (2021; Zbl 07346920) Full Text: DOI OpenURL
Allan, S. Blake; Kim, Justin Hanbin; Michajlyszyn, Gregory; Nichols, Roger; Rung, Don Explicit Krein resolvent identities for singular Sturm-Liouville operators with applications to Bessel operators. (English) Zbl 1489.47004 Oper. Matrices 14, No. 4, 1043-1099 (2020). Reviewer: Namig Guliyev (Baku) MSC: 47A10 47A55 47A56 47B10 PDF BibTeX XML Cite \textit{S. B. Allan} et al., Oper. Matrices 14, No. 4, 1043--1099 (2020; Zbl 1489.47004) Full Text: DOI arXiv OpenURL
Pliev, M.; Sukochev, F.; Zanin, D. \(L_p\)-bounds for the Krein spectral shift function: \(0<p<\infty\). (English) Zbl 1475.46052 Russ. J. Math. Phys. 27, No. 4, 491-499 (2020). MSC: 46L51 46L52 PDF BibTeX XML Cite \textit{M. Pliev} et al., Russ. J. Math. Phys. 27, No. 4, 491--499 (2020; Zbl 1475.46052) Full Text: DOI OpenURL
Azamov, Nurulla; Daniels, Tom Resonance index and singular \(\mu\)-invariant. (English) Zbl 07307902 Analysis, München 40, No. 3, 151-161 (2020). MSC: 47A55 47A10 47A70 47A40 PDF BibTeX XML Cite \textit{N. Azamov} and \textit{T. Daniels}, Analysis, München 40, No. 3, 151--161 (2020; Zbl 07307902) Full Text: DOI arXiv OpenURL
Tran, Mai; Yang, Rongwei Hermitian metrics on the resolvent set and extremal arc length. (English) Zbl 07299693 Curto, Raul E. (ed.) et al., Operator theory, operator algebras and their interactions with geometry and topology. Ronald G. Douglas memorial volume. Proceedings of the international workshop on operator theory and applications (IWOTA 2018), Shanghai, China, July 23–27, 2018. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 278, 487-499 (2020). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 47A13 53A35 PDF BibTeX XML Cite \textit{M. Tran} and \textit{R. Yang}, Oper. Theory: Adv. Appl. 278, 487--499 (2020; Zbl 07299693) Full Text: DOI OpenURL
Bruneau, Vincent; Raikov, Georgi Threshold singularities of the spectral shift function for geometric perturbations of magnetic Hamiltonians. (English) Zbl 1440.35227 Ann. Henri Poincaré 21, No. 5, 1451-1488 (2020). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P20 81Q10 PDF BibTeX XML Cite \textit{V. Bruneau} and \textit{G. Raikov}, Ann. Henri Poincaré 21, No. 5, 1451--1488 (2020; Zbl 1440.35227) Full Text: DOI arXiv OpenURL
Skripka, Anna; Zinchenko, Maxim On uniqueness of higher order spectral shift functions. (English) Zbl 07178830 Stud. Math. 251, No. 2, 207-218 (2020). MSC: 47A55 15A29 41A15 PDF BibTeX XML Cite \textit{A. Skripka} and \textit{M. Zinchenko}, Stud. Math. 251, No. 2, 207--218 (2020; Zbl 07178830) Full Text: DOI OpenURL
Dimassi, Mouez Semiclassical approximation of the magnetic Schrödinger operator on a strip : dynamics and spectrum. (English) Zbl 1415.35215 Tunis. J. Math. 2, No. 1, 197-215 (2020). MSC: 35P20 47A55 47N50 81Q10 81Q15 PDF BibTeX XML Cite \textit{M. Dimassi}, Tunis. J. Math. 2, No. 1, 197--215 (2020; Zbl 1415.35215) Full Text: DOI OpenURL
Azamov, Nurulla; Daniels, Tom Singular spectral shift function for resolvent comparable operators. (English) Zbl 1486.47020 Math. Nachr. 292, No. 9, 1911-1930 (2019). MSC: 47A40 47A55 47A70 35P05 35P25 47B25 81U99 PDF BibTeX XML Cite \textit{N. Azamov} and \textit{T. Daniels}, Math. Nachr. 292, No. 9, 1911--1930 (2019; Zbl 1486.47020) Full Text: DOI arXiv OpenURL
Assal, Marouane; Dimassi, Mouez; Fujiié, Setsuro Semiclassical trace formula and spectral shift function for systems via a stationary approach. (English) Zbl 1430.35070 Int. Math. Res. Not. 2019, No. 4, 1227-1264 (2019). MSC: 35J10 PDF BibTeX XML Cite \textit{M. Assal} et al., Int. Math. Res. Not. 2019, No. 4, 1227--1264 (2019; Zbl 1430.35070) Full Text: DOI arXiv OpenURL
Dietlein, Adrian; Gebert, Martin; Müller, Peter Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. (English) Zbl 1442.81027 J. Spectr. Theory 9, No. 3, 921-965 (2019). Reviewer: Takashi Ichinose (Kanazawa) MSC: 81Q10 47B80 82B44 60H25 PDF BibTeX XML Cite \textit{A. Dietlein} et al., J. Spectr. Theory 9, No. 3, 921--965 (2019; Zbl 1442.81027) Full Text: DOI arXiv OpenURL
Lapidus, Michel L. An overview of complex fractal dimensions: from fractal strings to fractal drums, and back. (English) Zbl 1423.28023 Niemeyer, Robert G. (ed.) et al., Horizons of fractal geometry and complex dimensions. 2016 summer school on fractal geometry and complex dimensions, in celebration of the 60th birthday of Michel Lapidus, California Polytechnic State University, San Luis Obispo, California, USA, June 21–29, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 731, 143-265 (2019). MSC: 28A80 11M06 11M41 28A12 30B50 30D10 35P20 81R40 PDF BibTeX XML Cite \textit{M. L. Lapidus}, Contemp. Math. 731, 143--265 (2019; Zbl 1423.28023) Full Text: DOI arXiv OpenURL
Gebert, Martin A lower Wegner estimate and bounds on the spectral shift function for continuum random Schrödinger operators. (English) Zbl 07114431 J. Funct. Anal. 277, No. 11, Article ID 108284, 24 p. (2019). MSC: 47-XX 35-XX PDF BibTeX XML Cite \textit{M. Gebert}, J. Funct. Anal. 277, No. 11, Article ID 108284, 24 p. (2019; Zbl 07114431) Full Text: DOI arXiv OpenURL
Mirotin, A. R. Lifshitz-Kreĭn trace formula for Hirsch functional calculus on Banach spaces. (English) Zbl 1480.47025 Complex Anal. Oper. Theory 13, No. 3, 1511-1535 (2019). MSC: 47A60 47A56 47A55 47B10 47L20 PDF BibTeX XML Cite \textit{A. R. Mirotin}, Complex Anal. Oper. Theory 13, No. 3, 1511--1535 (2019; Zbl 1480.47025) Full Text: DOI arXiv OpenURL
Malamud, M. M.; Neidhardt, H.; Peller, V. V. Absolute continuity of spectral shift. (English) Zbl 07004960 J. Funct. Anal. 276, No. 5, 1575-1621 (2019). MSC: 47-XX 81-XX PDF BibTeX XML Cite \textit{M. M. Malamud} et al., J. Funct. Anal. 276, No. 5, 1575--1621 (2019; Zbl 07004960) Full Text: DOI arXiv OpenURL
Tatarkin, A. A.; Saranchuk, U. S. Elementary solutions of a homogeneous \(q\)-sided convolution equation. (English) Zbl 1477.30022 Probl. Anal. Issues Anal. 7(25), Spec. Iss., 137-152 (2018). MSC: 30D10 PDF BibTeX XML Cite \textit{A. A. Tatarkin} and \textit{U. S. Saranchuk}, Probl. Anal. Issues Anal. 7(25), 137--152 (2018; Zbl 1477.30022) Full Text: DOI MNR OpenURL
Behrndt, Jussi; Gesztesy, Fritz; Nakamura, Shu Spectral shift functions and Dirichlet-to-Neumann maps. (English) Zbl 1417.35016 Math. Ann. 371, No. 3-4, 1255-1300 (2018). Reviewer: Petr Zemánek (Brno) MSC: 35J15 35J10 47B25 47A10 47A40 PDF BibTeX XML Cite \textit{J. Behrndt} et al., Math. Ann. 371, No. 3--4, 1255--1300 (2018; Zbl 1417.35016) Full Text: DOI arXiv OpenURL
Post, Olaf; Uebersohn, Christoph On a generalisation of Krein’s example. (English) Zbl 1482.47040 J. Math. Anal. Appl. 467, No. 1, 292-314 (2018). MSC: 47B25 47B35 47A10 47A80 PDF BibTeX XML Cite \textit{O. Post} and \textit{C. Uebersohn}, J. Math. Anal. Appl. 467, No. 1, 292--314 (2018; Zbl 1482.47040) Full Text: DOI arXiv OpenURL
Gebert, Martin On an integral formula for Fredholm determinants related to pairs of spectral projections. (English) Zbl 06909745 Integral Equations Oper. Theory 90, No. 3, Paper No. 35, 20 p. (2018). MSC: 47A55 15A15 PDF BibTeX XML Cite \textit{M. Gebert}, Integral Equations Oper. Theory 90, No. 3, Paper No. 35, 20 p. (2018; Zbl 06909745) Full Text: DOI arXiv OpenURL
Mirotin, A. R. Bernstein functions of several semigroup generators on Banach spaces under bounded perturbations. II. (English) Zbl 1487.47025 Oper. Matrices 12, No. 2, 445-463 (2018). MSC: 47A56 47B10 47L20 PDF BibTeX XML Cite \textit{A. R. Mirotin}, Oper. Matrices 12, No. 2, 445--463 (2018; Zbl 1487.47025) Full Text: DOI arXiv OpenURL
Bickel, Kelly; Gorkin, Pamela Compressions of the shift on the bidisk and their numerical ranges. (English) Zbl 1399.47029 J. Oper. Theory 79, No. 1, 225-265 (2018). Reviewer: Cătălin Badea (Villeneuve d’Ascq) MSC: 47A12 47A13 30C15 PDF BibTeX XML Cite \textit{K. Bickel} and \textit{P. Gorkin}, J. Oper. Theory 79, No. 1, 225--265 (2018; Zbl 1399.47029) Full Text: arXiv OpenURL
Bruneau, Vincent; Miranda, Pablo Threshold singularities of the spectral shift function for a half-plane magnetic Hamiltonian. (English) Zbl 1395.35158 J. Funct. Anal. 274, No. 9, 2499-2531 (2018). Reviewer: Jonathan Rohleder (Stockholm) MSC: 35P20 35J10 47F05 81Q10 PDF BibTeX XML Cite \textit{V. Bruneau} and \textit{P. Miranda}, J. Funct. Anal. 274, No. 9, 2499--2531 (2018; Zbl 1395.35158) Full Text: DOI arXiv OpenURL
Murphy, John; Nichols, Roger Weak and vague convergence of spectral shift functions of one-dimensional Schrödinger operators with coupled boundary conditions. (English) Zbl 1399.34281 Methods Funct. Anal. Topol. 23, No. 4, 378-403 (2017). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 34L40 47B25 47E05 PDF BibTeX XML Cite \textit{J. Murphy} and \textit{R. Nichols}, Methods Funct. Anal. Topol. 23, No. 4, 378--403 (2017; Zbl 1399.34281) Full Text: Link OpenURL
Duong, Anh Tuan A trace formula and application to Stark Hamiltonians with nonconstant magnetic fields. (English. Russian original) Zbl 1385.81020 Funct. Anal. Appl. 51, No. 4, 270-282 (2017); translation from Funkts. Anal. Prilozh. 51, No. 4, 34-49 (2017). MSC: 81Q10 81R05 35J10 81V10 81Q20 PDF BibTeX XML Cite \textit{A. T. Duong}, Funct. Anal. Appl. 51, No. 4, 270--282 (2017; Zbl 1385.81020); translation from Funkts. Anal. Prilozh. 51, No. 4, 34--49 (2017) Full Text: DOI OpenURL
Mirotin, A. R. A functional calculus of closed operators on Banach space. III: Certain topics of perturbation theory. (English. Russian original) Zbl 06845960 Russ. Math. 61, No. 12, 19-28 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 12, 24-34 (2017). MSC: 47-XX 46-XX PDF BibTeX XML Cite \textit{A. R. Mirotin}, Russ. Math. 61, No. 12, 19--28 (2017; Zbl 06845960); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 12, 24--34 (2017) Full Text: DOI OpenURL
Malamud, M. M.; Neidhardt, Hagen; Peller, V. V. Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions. (English. Russian original) Zbl 06835367 Funct. Anal. Appl. 51, No. 3, 185-203 (2017); translation from Funkts. Anal. Prilozh. 51, No. 3, 33-55 (2017). MSC: 47A56 PDF BibTeX XML Cite \textit{M. M. Malamud} et al., Funct. Anal. Appl. 51, No. 3, 185--203 (2017; Zbl 06835367); translation from Funkts. Anal. Prilozh. 51, No. 3, 33--55 (2017) Full Text: DOI arXiv OpenURL
Azamov, Nurulla Spectral flow and resonance index. (English) Zbl 1464.47008 Diss. Math. 528, 91 p. (2017). Reviewer: Carlos R. Carpintero (Cumaná) MSC: 47A53 47A55 47A10 58J30 PDF BibTeX XML Cite \textit{N. Azamov}, Diss. Math. 528, 91 p. (2017; Zbl 1464.47008) Full Text: DOI arXiv OpenURL
Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri On the Witten index in terms of spectral shift functions. (English) Zbl 1481.47012 J. Anal. Math. 132, 1-61 (2017). MSC: 47A53 PDF BibTeX XML Cite \textit{A. Carey} et al., J. Anal. Math. 132, 1--61 (2017; Zbl 1481.47012) Full Text: DOI arXiv OpenURL
Skripka, Anna On positivity of spectral shift functions. (English) Zbl 06766340 Linear Algebra Appl. 523, 118-130 (2017). MSC: 47A55 15A99 47B10 PDF BibTeX XML Cite \textit{A. Skripka}, Linear Algebra Appl. 523, 118--130 (2017; Zbl 06766340) Full Text: DOI OpenURL
Malamud, Mark; Neidhardt, Hagen; Peller, Vladimir A trace formula for functions of contractions and analytic operator Lipschitz functions. (Une formule de trace pour les fonctions de contraction et les fonctions analytiques opérateurs-lipschitziennes.) (English. Abridged French version) Zbl 1381.47008 C. R., Math., Acad. Sci. Paris 355, No. 7, 806-811 (2017). MSC: 47A60 47A55 47B25 PDF BibTeX XML Cite \textit{M. Malamud} et al., C. R., Math., Acad. Sci. Paris 355, No. 7, 806--811 (2017; Zbl 1381.47008) Full Text: DOI arXiv OpenURL
Dimassi, Mouez; Duong, Anh Tuan Scattering and semi-classical asymptotics for periodic Schrödinger operators with oscillating decaying potential. (English) Zbl 1358.81107 Math. J. Okayama Univ. 59, 149-174 (2017). MSC: 81Q10 35P20 47A55 47N50 81Q15 81Q20 81U05 35C20 35J10 PDF BibTeX XML Cite \textit{M. Dimassi} and \textit{A. T. Duong}, Math. J. Okayama Univ. 59, 149--174 (2017; Zbl 1358.81107) Full Text: Link OpenURL
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor The spectral shift function and the Witten index. (English) Zbl 06981831 Mantoiu, Marius (ed.) et al., Spectral theory and mathematical physics. Proceedings of the conference, Santiago, Chile, November 2014. Basel: Birkhäuser/Springer. Oper. Theory: Adv. Appl. 254, 71-105 (2016). MSC: 47A53 58J30 47A10 47A40 PDF BibTeX XML Cite \textit{A. Carey} et al., Oper. Theory: Adv. Appl. 254, 71--105 (2016; Zbl 06981831) Full Text: DOI arXiv OpenURL
Aleksandrov, A. B.; Peller, V. V. Krein’s trace formula for unitary operators and operator Lipschitz functions. (English. Russian original) Zbl 1450.47009 Funct. Anal. Appl. 50, No. 3, 167-175 (2016); translation from Funkts. Anal. Prilozh. 50, No. 3, 1-11 (2016). Reviewer: Eric Stachura (Marietta) MSC: 47A60 47A63 PDF BibTeX XML Cite \textit{A. B. Aleksandrov} and \textit{V. V. Peller}, Funct. Anal. Appl. 50, No. 3, 167--175 (2016; Zbl 1450.47009); translation from Funkts. Anal. Prilozh. 50, No. 3, 1--11 (2016) Full Text: DOI arXiv OpenURL
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor On the index of a non-Fredholm model operator. (English) Zbl 1356.47018 Oper. Matrices 10, No. 4, 881-914 (2016). MSC: 47A53 58J30 47A10 47A40 PDF BibTeX XML Cite \textit{A. Carey} et al., Oper. Matrices 10, No. 4, 881--914 (2016; Zbl 1356.47018) Full Text: DOI arXiv OpenURL
Carey, Alan; Gesztesy, Fritz; Grosse, Harald; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy Trace formulas for a class of non-Fredholm operators: a review. (English) Zbl 1394.47023 Rev. Math. Phys. 28, No. 10, Article ID 1630002, 55 p. (2016). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 47A53 58J30 47A10 47A40 PDF BibTeX XML Cite \textit{A. Carey} et al., Rev. Math. Phys. 28, No. 10, Article ID 1630002, 55 p. (2016; Zbl 1394.47023) Full Text: DOI arXiv OpenURL
Dimassi, Mouez Semi-classical asymptotics for Schrödinger operator with oscillating decaying potential. (English) Zbl 1353.81049 Can. Math. Bull. 59, No. 4, 734-747 (2016). MSC: 81Q10 35P20 47A55 47N50 81Q15 81Q20 PDF BibTeX XML Cite \textit{M. Dimassi}, Can. Math. Bull. 59, No. 4, 734--747 (2016; Zbl 1353.81049) Full Text: DOI OpenURL
Liu, Zhenhua An algorithm for the spectral immunity of binary sequence with period \(2^n\). (English) Zbl 1363.94066 Wuhan Univ. J. Nat. Sci. 21, No. 2, 121-125 (2016). MSC: 94A60 94A55 PDF BibTeX XML Cite \textit{Z. Liu}, Wuhan Univ. J. Nat. Sci. 21, No. 2, 121--125 (2016; Zbl 1363.94066) Full Text: DOI OpenURL
Azamov, Nurulla Spectral flow inside essential spectrum. (English) Zbl 1364.58011 Diss. Math. 518, 156 p. (2016). Reviewer: David Kapanadze (Tbilisi) MSC: 58J30 47A55 47A70 58-02 PDF BibTeX XML Cite \textit{N. Azamov}, Diss. Math. 518, 156 p. (2016; Zbl 1364.58011) Full Text: DOI arXiv Link OpenURL
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dima On index theory for non-Fredholm operators: a \((1+1)\)-dimensional example. (English) Zbl 1384.47006 Math. Nachr. 289, No. 5-6, 575-609 (2016). Reviewer: Carlos R. Carpintero (Cumaná) MSC: 47A53 47A10 47A40 58J30 PDF BibTeX XML Cite \textit{A. Carey} et al., Math. Nachr. 289, No. 5--6, 575--609 (2016; Zbl 1384.47006) Full Text: DOI arXiv OpenURL
Popescu, Gelu Berezin transforms on noncommutative polydomains. (English) Zbl 1467.47004 Trans. Am. Math. Soc. 368, No. 6, 4357-4416 (2016). MSC: 47A13 47A56 47A48 47A60 47A20 PDF BibTeX XML Cite \textit{G. Popescu}, Trans. Am. Math. Soc. 368, No. 6, 4357--4416 (2016; Zbl 1467.47004) Full Text: DOI arXiv OpenURL
Chattopadhyay, Arup; Sinha, Kalyan B. Trace formulae in operator theory. (English) Zbl 1353.47006 Bhattacharyya, Tirthankar (ed.) et al., Operator algebras and mathematical physics. 24th international workshop in operator theory and its applications, IWOTA, Bangalore, India, December 16–20, 2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-18181-3/hbk; 978-3-319-18182-0/ebook). Operator Theory: Advances and Applications 247, 1-36 (2015). MSC: 47A13 47A55 47A56 47-02 PDF BibTeX XML Cite \textit{A. Chattopadhyay} and \textit{K. B. Sinha}, Oper. Theory: Adv. Appl. 247, 1--36 (2015; Zbl 1353.47006) Full Text: DOI OpenURL
Lapidus, Michel L. The sound of fractal strings and the Riemann hypothesis. (English) Zbl 1336.28004 Pomerance, Carl (ed.) et al., Analytic number theory. In honor of Helmut Maier’s 60th birthday. Cham: Springer (ISBN 978-3-319-22239-4/hbk; 978-3-319-22240-0/ebook). 201-252 (2015). MSC: 28A75 28A80 11M06 PDF BibTeX XML Cite \textit{M. L. Lapidus}, in: Analytic number theory. In honor of Helmut Maier's 60th birthday. Cham: Springer. 201--252 (2015; Zbl 1336.28004) Full Text: DOI arXiv OpenURL
Dimassi, Mouez; Fujiié, Setsuro A time-independent approach for the study of the spectral shift function and an application to Stark Hamiltonians. (English) Zbl 1332.81054 Commun. Partial Differ. Equations 40, No. 10, 1787-1814 (2015). MSC: 81Q10 35P20 47A55 47N50 81Q15 35C20 PDF BibTeX XML Cite \textit{M. Dimassi} and \textit{S. Fujiié}, Commun. Partial Differ. Equations 40, No. 10, 1787--1814 (2015; Zbl 1332.81054) Full Text: DOI OpenURL
Cifuentes, P.; San Antolín, Á.; Soto-Bajo, M. Anisotropic dilations of shift-invariant subspaces and approximation properties in \(L^2(\mathbb{R}^d)\). (English) Zbl 1314.41012 Math. Nachr. 288, No. 5-6, 525-539 (2015). MSC: 41A25 42C15 41A30 PDF BibTeX XML Cite \textit{P. Cifuentes} et al., Math. Nachr. 288, No. 5--6, 525--539 (2015; Zbl 1314.41012) Full Text: DOI OpenURL
Hubeny, Ivan; Mihalas, Dimitri Theory of stellar atmospheres. An introduction to astrophysical non-equilibrium quantitative spectroscopic analysis. (English) Zbl 1309.85001 Princeton Series in Astrophysics. Princeton, NJ: Princeton University Press (ISBN 978-0-691-16329-1/pbk; 978-0-691-16328-4/hbk; 978-1-400-85273-4/ebook). xvi, 923 p. (2015). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 85-02 85A05 65Z05 85A15 85A20 85A30 76W05 76E20 85-08 85A25 PDF BibTeX XML Cite \textit{I. Hubeny} and \textit{D. Mihalas}, Theory of stellar atmospheres. An introduction to astrophysical non-equilibrium quantitative spectroscopic analysis. Princeton, NJ: Princeton University Press (2015; Zbl 1309.85001) OpenURL
Bony, Jean-François; Bruneau, Vincent; Raikov, Georgi Resonances and spectral shift function singularities for magnetic quantum Hamiltonians. (English) Zbl 1301.35074 RIMS Kôkyûroku Bessatsu B45, 77-100 (2014). MSC: 35P25 35J10 47F05 47A40 81Q10 PDF BibTeX XML Cite \textit{J.-F. Bony} et al., RIMS Kôkyûroku Bessatsu B45, 77--100 (2014; Zbl 1301.35074) Full Text: arXiv OpenURL
Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy Krein’s trace theorem revisited. (English) Zbl 1328.47022 J. Spectr. Theory 4, No. 2, 415-430 (2014). Reviewer: Vladimir V. Peller (East Lansing) MSC: 47B10 47A60 47C15 PDF BibTeX XML Cite \textit{D. Potapov} et al., J. Spectr. Theory 4, No. 2, 415--430 (2014; Zbl 1328.47022) Full Text: DOI arXiv OpenURL
Potapov, Denis; Skripka, Anna; Sukochev, Fedor Higher-order spectral shift for contractions. (English) Zbl 1293.47012 Proc. Lond. Math. Soc. (3) 108, No. 2, 327-349 (2014). Reviewer: Janko Bračič (Ljubljana) MSC: 47A55 47A56 47B10 PDF BibTeX XML Cite \textit{D. Potapov} et al., Proc. Lond. Math. Soc. (3) 108, No. 2, 327--349 (2014; Zbl 1293.47012) Full Text: DOI arXiv OpenURL
Chattopadhyay, Arup; Sinha, Kalyan B. Third order trace formula. (English) Zbl 1321.47034 Proc. Indian Acad. Sci., Math. Sci. 123, No. 4, 547-575 (2013). Reviewer: Janko Bračič (Ljubljana) MSC: 47A60 PDF BibTeX XML Cite \textit{A. Chattopadhyay} and \textit{K. B. Sinha}, Proc. Indian Acad. Sci., Math. Sci. 123, No. 4, 547--575 (2013; Zbl 1321.47034) Full Text: DOI arXiv Link OpenURL
Potapov, Denis; Skripka, Anna; Sukochev, Fedor Spectral shift function of higher order. (English) Zbl 1282.47012 Invent. Math. 193, No. 3, 501-538 (2013). Reviewer: Yaogan Mensah (Lomé) MSC: 47A55 47A56 46L52 PDF BibTeX XML Cite \textit{D. Potapov} et al., Invent. Math. 193, No. 3, 501--538 (2013; Zbl 1282.47012) Full Text: DOI arXiv Link OpenURL
McGillivray, I. The spectral shift function for planar obstacle scattering at low energy. (English) Zbl 1312.60095 Math. Nachr. 286, No. 11-12, 1208-1239 (2013). MSC: 60J65 35B40 47A40 PDF BibTeX XML Cite \textit{I. McGillivray}, Math. Nachr. 286, No. 11--12, 1208--1239 (2013; Zbl 1312.60095) Full Text: DOI arXiv Link OpenURL
Potapov, Denis; Skripka, Anna; Sukochev, Fedor On Hilbert-Schmidt compatibility. (English) Zbl 1283.47018 Oper. Matrices 7, No. 1, 1-34 (2013). Reviewer: Roger A. Nichols (Chattanooga) MSC: 47A55 47B10 PDF BibTeX XML Cite \textit{D. Potapov} et al., Oper. Matrices 7, No. 1, 1--34 (2013; Zbl 1283.47018) Full Text: DOI Link OpenURL
Balasubramani, M. S.; Harish, V. K. A new metric in the study of shift invariant subspaces of \(L^2(\mathbb R^n)\). (English) Zbl 1265.46049 Methods Funct. Anal. Topol. 18, No. 3, 214-219 (2012). Reviewer: A. N. Kochubei (Kyïv) MSC: 46E30 42C15 PDF BibTeX XML Cite \textit{M. S. Balasubramani} and \textit{V. K. Harish}, Methods Funct. Anal. Topol. 18, No. 3, 214--219 (2012; Zbl 1265.46049) OpenURL
Borovyk, Vita; Makarov, Konstantin A. On the weak and ergodic limit of the spectral shift function. (English) Zbl 1243.81077 Lett. Math. Phys. 100, No. 1, 1-15 (2012). MSC: 81Q10 35P20 47N50 81U30 35J10 PDF BibTeX XML Cite \textit{V. Borovyk} and \textit{K. A. Makarov}, Lett. Math. Phys. 100, No. 1, 1--15 (2012; Zbl 1243.81077) Full Text: DOI arXiv OpenURL
Gesztesy, Fritz; Zinchenko, Maxim Symmetrized perturbation determinants and applications to boundary data maps and Krein-type resolvent formulas. (English) Zbl 1247.34030 Proc. Lond. Math. Soc. (3) 104, No. 3, 577-612 (2012). Reviewer: Vassilis G. Papanicolaou (Athena) MSC: 34B05 34B27 34L40 34L05 47A10 47E05 PDF BibTeX XML Cite \textit{F. Gesztesy} and \textit{M. Zinchenko}, Proc. Lond. Math. Soc. (3) 104, No. 3, 577--612 (2012; Zbl 1247.34030) Full Text: DOI arXiv OpenURL
Potapov, Denis; Sukochev, Fedor Koplienko spectral shift function on the unit circle. (English) Zbl 1236.47017 Commun. Math. Phys. 309, No. 3, 693-702 (2012). Reviewer: Oscar Blasco (Valencia) MSC: 47B10 PDF BibTeX XML Cite \textit{D. Potapov} and \textit{F. Sukochev}, Commun. Math. Phys. 309, No. 3, 693--702 (2012; Zbl 1236.47017) Full Text: DOI OpenURL
Karaev, M. T. Domination conditions and spectral multiplicity of operators. (English) Zbl 1261.47047 Acta Math. Hung. 134, No. 1-2, 79-98 (2012). Reviewer: Vladimir Kadets (Kharkov) MSC: 47B38 46J10 47B48 PDF BibTeX XML Cite \textit{M. T. Karaev}, Acta Math. Hung. 134, No. 1--2, 79--98 (2012; Zbl 1261.47047) Full Text: DOI OpenURL
Skripka, Anna Multiple operator integrals and spectral shift. (English) Zbl 1264.47019 Ill. J. Math. 55, No. 1, 305-324 (2011). Reviewer: Vladimir V. Peller (East Lansing) MSC: 47A55 47A56 46L52 PDF BibTeX XML Cite \textit{A. Skripka}, Ill. J. Math. 55, No. 1, 305--324 (2011; Zbl 1264.47019) Full Text: arXiv Euclid OpenURL
Horváth, Miklós Spectral shift functions in the fixed energy inverse scattering. (English) Zbl 1235.81118 Inverse Probl. Imaging 5, No. 4, 843-858 (2011). MSC: 81U40 33C10 PDF BibTeX XML Cite \textit{M. Horváth}, Inverse Probl. Imaging 5, No. 4, 843--858 (2011; Zbl 1235.81118) Full Text: DOI OpenURL
Dimassi, Mouez; Zerzeri, Maher Spectral shift function for perturbed periodic Schrödinger operators. The large-coupling constant limit case. (English) Zbl 1255.81152 Asymptotic Anal. 75, No. 3-4, 233-250 (2011). Reviewer: Miyeon Kwon (Platteville) MSC: 81Q10 81Q05 35J10 35C20 PDF BibTeX XML Cite \textit{M. Dimassi} and \textit{M. Zerzeri}, Asymptotic Anal. 75, No. 3--4, 233--250 (2011; Zbl 1255.81152) Full Text: arXiv Link OpenURL
Azamov, Nurulla Absolutely continuous and singular spectral shift functions. (English) Zbl 1276.47013 Diss. Math. 480, 102 p. (2011). Reviewer: Thierry Jecko (Cergy-Pontoise) MSC: 47A40 47A70 81U99 PDF BibTeX XML Cite \textit{N. Azamov}, Diss. Math. 480, 102 p. (2011; Zbl 1276.47013) Full Text: arXiv OpenURL
Saltan, S.; Gürdal, M. Spectral multiplicities of some operators. (English) Zbl 1248.47012 Complex Var. Elliptic Equ. 56, No. 6, 513-520 (2011). Reviewer: Alfonso Montes-Rodriguez (Sevilla) MSC: 47A16 47B38 PDF BibTeX XML Cite \textit{S. Saltan} and \textit{M. Gürdal}, Complex Var. Elliptic Equ. 56, No. 6, 513--520 (2011; Zbl 1248.47012) Full Text: DOI OpenURL
Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A.; Sukochev, Fedor; Tomilov, Yuri The index formula and the spectral shift function for relatively trace class perturbations. (English) Zbl 1220.47017 Adv. Math. 227, No. 1, 319-420 (2011). Reviewer: Yakov Yakubov (Tel-Aviv) MSC: 47A53 58J30 47A10 47A40 PDF BibTeX XML Cite \textit{F. Gesztesy} et al., Adv. Math. 227, No. 1, 319--420 (2011; Zbl 1220.47017) Full Text: DOI arXiv OpenURL
Tiedra de Aldecoa, Rafael Asymptotics near \(\pm m\) of the spectral shift function for Dirac operators with non-constant magnetic fields. (English) Zbl 1216.35104 Commun. Partial Differ. Equations 36, No. 1-3, 10-41 (2011). Reviewer: Agostino Prástaro (Roma) MSC: 35Q41 81Q10 35P20 35P25 47F05 35J10 PDF BibTeX XML Cite \textit{R. Tiedra de Aldecoa}, Commun. Partial Differ. Equations 36, No. 1--3, 10--41 (2011; Zbl 1216.35104) Full Text: DOI arXiv OpenURL
McGillivray, I. Large time volume of the pinned Wiener sausage to second order. (English) Zbl 1217.60073 Math. Nachr. 284, No. 2-3, 142-165 (2011). Reviewer: Vitalii Gasanenko (Kyiv) MSC: 60J65 35B40 47A40 PDF BibTeX XML Cite \textit{I. McGillivray}, Math. Nachr. 284, No. 2--3, 142--165 (2011; Zbl 1217.60073) Full Text: DOI OpenURL
Dimassi, Mouez; Petkov, Vesselin Spectral problems for operators with crossed magnetic and electric fields. (English) Zbl 1205.35052 J. Phys. A, Math. Theor. 43, No. 47, Article ID 474015, 14 p. (2010). MSC: 35J10 35Q40 35P25 PDF BibTeX XML Cite \textit{M. Dimassi} and \textit{V. Petkov}, J. Phys. A, Math. Theor. 43, No. 47, Article ID 474015, 14 p. (2010; Zbl 1205.35052) Full Text: DOI arXiv OpenURL
Kamyabi-Gol, R. A.; Tousi, R. Raisi Some equivalent multiresolution conditions on locally compact Abelian groups. (English) Zbl 1206.43005 Proc. Indian Acad. Sci., Math. Sci. 120, No. 3, 317-331 (2010). Reviewer: Dashan Fan (Milwaukee) MSC: 43A75 PDF BibTeX XML Cite \textit{R. A. Kamyabi-Gol} and \textit{R. R. Tousi}, Proc. Indian Acad. Sci., Math. Sci. 120, No. 3, 317--331 (2010; Zbl 1206.43005) Full Text: DOI OpenURL
Skripka, Anna Higher order spectral shift. II: Unbounded case. (English) Zbl 1202.47015 Indiana Univ. Math. J. 59, No. 2, 691-706 (2010). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 47A55 47A56 46L52 PDF BibTeX XML Cite \textit{A. Skripka}, Indiana Univ. Math. J. 59, No. 2, 691--706 (2010; Zbl 1202.47015) Full Text: DOI arXiv OpenURL
Raikov, Georgi D. Low energy asymptotics of the spectral shift function for Pauli operators with nonconstant magnetic fields. (English) Zbl 1200.35069 Publ. Res. Inst. Math. Sci. 46, No. 3, 565-590 (2010). MSC: 35J10 81Q10 35P20 35P25 47F05 PDF BibTeX XML Cite \textit{G. D. Raikov}, Publ. Res. Inst. Math. Sci. 46, No. 3, 565--590 (2010; Zbl 1200.35069) Full Text: DOI arXiv OpenURL
Dimassi, Mouez; Petkov, Vesselin Spectral shift function for operators with crossed magnetic and electric fields. (English) Zbl 1192.35037 Rev. Math. Phys. 22, No. 4, 355-380 (2010). MSC: 35J10 35P25 35Q40 81Q10 PDF BibTeX XML Cite \textit{M. Dimassi} and \textit{V. Petkov}, Rev. Math. Phys. 22, No. 4, 355--380 (2010; Zbl 1192.35037) Full Text: DOI arXiv OpenURL
Yafaev, D. R. Mathematical scattering theory. Analytic theory. (English) Zbl 1197.35006 Mathematical Surveys and Monographs 158. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-0331-8/hbk). xiii, 444 p. (2010). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35-02 35P10 35P25 47A40 34L25 81U05 35J10 35Q41 PDF BibTeX XML Cite \textit{D. R. Yafaev}, Mathematical scattering theory. Analytic theory. Providence, RI: American Mathematical Society (AMS) (2010; Zbl 1197.35006) OpenURL
Birman, M. Sh.; Sloushch, V. A. Two-sided estimates for the trace of the difference of two semigroups. (English. Russian original) Zbl 1271.47035 Funct. Anal. Appl. 43, No. 3, 184-189 (2009); translation from Funkts. Anal. Prilozh. 43, No. 3, 26-32 (2009). MSC: 47D08 PDF BibTeX XML Cite \textit{M. Sh. Birman} and \textit{V. A. Sloushch}, Funct. Anal. Appl. 43, No. 3, 184--189 (2009; Zbl 1271.47035); translation from Funkts. Anal. Prilozh. 43, No. 3, 26--32 (2009) Full Text: DOI OpenURL
Sinha, Kalyan B. Perturbation determinant, Krein’s shift function and index theorem. (English) Zbl 1204.47014 Narasimha Sastry, N. S. (ed.) et al., Perspectives in mathematical sciences II. Pure mathematics. Papers of the conference on perspectives in mathematical sciences, Bangalore, India, February 4–8, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4273-64-0/hbk). Statistical Science and Interdisciplinary Research 8; Platinum Jubilee Series, 157-171 (2009). Reviewer: Miyeon Kwon (Platteville, WI) MSC: 47A53 47A55 47N50 81Q10 PDF BibTeX XML Cite \textit{K. B. Sinha}, Stat. Sci. Interdiscip. Res. 8, 157--171 (2009; Zbl 1204.47014) OpenURL
Bony, Jean-François; Bruneau, Vincent; Briet, Philippe; Raikov, Georgi Resonances and SSF singularities for magnetic Schrödinger operators. (English) Zbl 1181.35159 Cubo 11, No. 5, 23-38 (2009). MSC: 35P25 35J10 47F05 81Q10 PDF BibTeX XML Cite \textit{J.-F. Bony} et al., Cubo 11, No. 5, 23--38 (2009; Zbl 1181.35159) OpenURL
Skripka, Anna Trace inequalities and spectral shift. (English) Zbl 1177.26014 Oper. Matrices 3, No. 2, Article ID 15, 241-260 (2009). MSC: 26A48 26A51 47A56 47A55 47C15 PDF BibTeX XML Cite \textit{A. Skripka}, Oper. Matrices 3, No. 2, Article ID 15, 241--260 (2009; Zbl 1177.26014) Full Text: Link OpenURL
Dykema, Ken; Skripka, Anna Higher order spectral shift. (English) Zbl 1170.47007 J. Funct. Anal. 257, No. 4, 1092-1132 (2009). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 47A60 46L10 PDF BibTeX XML Cite \textit{K. Dykema} and \textit{A. Skripka}, J. Funct. Anal. 257, No. 4, 1092--1132 (2009; Zbl 1170.47007) Full Text: DOI arXiv OpenURL
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen Trace formulae for dissipative and coupled scattering systems. (English) Zbl 1175.47008 Behrndt, Jussi (ed.) et al., Spectral theory in inner product spaces and applications. Papers of the 6th workshop on operator theory in Krein spaces and operator polynomials, TU Berlin, Germany, December 14–17, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8910-9/hbk). Operator Theory: Advances and Applications 188, 49-85 (2009). Reviewer: Dmitry Kaliuzhnyi-Verbovetskyi (Philadelphia) MSC: 47A40 47A55 47B44 PDF BibTeX XML Cite \textit{J. Behrndt} et al., Oper. Theory: Adv. Appl. 188, 49--85 (2009; Zbl 1175.47008) Full Text: DOI arXiv OpenURL
Bownik, Marcin Intersection of dilates of shift-invariant spaces. (English) Zbl 1162.42016 Proc. Am. Math. Soc. 137, No. 2, 563-572 (2009). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 PDF BibTeX XML Cite \textit{M. Bownik}, Proc. Am. Math. Soc. 137, No. 2, 563--572 (2009; Zbl 1162.42016) Full Text: DOI OpenURL
Assel, R.; Dimassi, M. Spectral shift function for the perturbations of Schrödinger operators at high energy. (English) Zbl 1199.35266 Serdica Math. J. 34, No. 1, 253-266 (2008). MSC: 35P20 35J10 35Q40 PDF BibTeX XML Cite \textit{R. Assel} and \textit{M. Dimassi}, Serdica Math. J. 34, No. 1, 253--266 (2008; Zbl 1199.35266) OpenURL
Astaburuaga, M. A.; Briet, Ph.; Bruneau, V.; Fernandez, C.; Raikov, G. Dynamical resonances and SSF singularities for a magnetic Schrödinger operator. (English) Zbl 1199.35025 Serdica Math. J. 34, No. 1, 179-218 (2008). MSC: 35B34 35P25 35J10 47A55 47F05 81Q10 PDF BibTeX XML Cite \textit{M. A. Astaburuaga} et al., Serdica Math. J. 34, No. 1, 179--218 (2008; Zbl 1199.35025) Full Text: arXiv OpenURL
Skripka, Anna On properties of the \(\xi \)-function in semi-finite von Neumann algebras. (English) Zbl 1197.47026 Integral Equations Oper. Theory 62, No. 2, 247-267 (2008). Reviewer: Jussi Behrndt (Berlin) MSC: 47A55 47C15 46L52 PDF BibTeX XML Cite \textit{A. Skripka}, Integral Equations Oper. Theory 62, No. 2, 247--267 (2008; Zbl 1197.47026) Full Text: DOI OpenURL
Briet, Philippe; Raikov, Georgi; Soccorsi, Eric Spectral properties of a magnetic quantum Hamiltonian on a strip. (English) Zbl 1163.35446 Asymptotic Anal. 58, No. 3, 127-155 (2008). MSC: 35P20 35P15 35J10 47F05 PDF BibTeX XML Cite \textit{P. Briet} et al., Asymptotic Anal. 58, No. 3, 127--155 (2008; Zbl 1163.35446) Full Text: arXiv OpenURL
Pushnitski, Alexander The spectral flow, the Fredholm index and the spectral shift function. (English) Zbl 1168.47010 Suslina, T. (ed.) et al., Spectral theory of differential operators. M. Sh. Birman 80th anniversary collection. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4738-1/hbk). Translations. Series 2. American Mathematical Society 225; Advances in the Mathematical Sciences 62, 141-155 (2008). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 47A53 47A55 PDF BibTeX XML Cite \textit{A. Pushnitski}, Transl., Ser. 2, Am. Math. Soc. 225, 141--155 (2008; Zbl 1168.47010) Full Text: arXiv OpenURL
Tamura, Hideo Semiclassical analysis for spectral shift functions in magnetic scattering by two solenoidal fields. (English) Zbl 1160.81014 Rev. Math. Phys. 20, No. 10, 1249-1282 (2008). Reviewer: T. C. Mohan (Dehra Dun) MSC: 81Q05 81U99 35P25 35Q40 PDF BibTeX XML Cite \textit{H. Tamura}, Rev. Math. Phys. 20, No. 10, 1249--1282 (2008; Zbl 1160.81014) Full Text: DOI OpenURL
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen Scattering matrices and Weyl functions. (English) Zbl 1161.47008 Proc. Lond. Math. Soc. (3) 97, No. 3, 568-598 (2008). Reviewer: Dmitry Kaliuzhnyi-Verbovetskyi (Philadelphia) MSC: 47A40 47A55 47B25 34L25 34L40 PDF BibTeX XML Cite \textit{J. Behrndt} et al., Proc. Lond. Math. Soc. (3) 97, No. 3, 568--598 (2008; Zbl 1161.47008) Full Text: DOI arXiv OpenURL
Kostrykin, Vadim; Makarov, Konstantin A. On Krein’s example. (English) Zbl 1143.47019 Proc. Am. Math. Soc. 136, No. 6, 2067-2071 (2008). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 47B35 47A55 45P05 47A10 PDF BibTeX XML Cite \textit{V. Kostrykin} and \textit{K. A. Makarov}, Proc. Am. Math. Soc. 136, No. 6, 2067--2071 (2008; Zbl 1143.47019) Full Text: DOI arXiv OpenURL
Tamura, Hideo Time delay in scattering by potentials and by magnetic fields with two supports at large separation. (English) Zbl 1158.35067 J. Funct. Anal. 254, No. 7, 1735-1775 (2008). Reviewer: Bogdan G. Nita (Upper Montclair) MSC: 35P25 35B40 78A45 PDF BibTeX XML Cite \textit{H. Tamura}, J. Funct. Anal. 254, No. 7, 1735--1775 (2008; Zbl 1158.35067) Full Text: DOI OpenURL
Krüger, Helge; Teschl, Gerald Relative oscillation theory for Sturm-Liouville operators extended. (English) Zbl 1144.34014 J. Funct. Anal. 254, No. 6, 1702-1720 (2008). Reviewer: Aleksandr Lomtatidze (Brno) MSC: 34B24 34C10 PDF BibTeX XML Cite \textit{H. Krüger} and \textit{G. Teschl}, J. Funct. Anal. 254, No. 6, 1702--1720 (2008; Zbl 1144.34014) Full Text: DOI arXiv OpenURL
Azamov, N. A.; Sukochev, F. A. Spectral averaging for trace compatible operators. (English) Zbl 1156.47002 Proc. Am. Math. Soc. 136, No. 5, 1769-1778 (2008). Reviewer: Yufeng Lu (Dalian) MSC: 47A11 47A55 PDF BibTeX XML Cite \textit{N. A. Azamov} and \textit{F. A. Sukochev}, Proc. Am. Math. Soc. 136, No. 5, 1769--1778 (2008; Zbl 1156.47002) Full Text: DOI arXiv OpenURL
Veselić, Ivan Existence and regularity properties of the integrated density of states of random Schrödinger operators. (English) Zbl 1189.82004 Lecture Notes in Mathematics 1917. Berlin: Springer (ISBN 978-3-540-72689-0/pbk). x, 142 p. (2008). Reviewer: Dominique Lepingle (Orléans) MSC: 82-02 82B44 PDF BibTeX XML Cite \textit{I. Veselić}, Existence and regularity properties of the integrated density of states of random Schrödinger operators. Berlin: Springer (2008; Zbl 1189.82004) Full Text: DOI OpenURL
Pushnitski, A.; Sloushch, V. Spectral shift function for the Stark operator in the large coupling constant limit. (English) Zbl 1221.35265 Asymptotic Anal. 51, No. 1, 63-89 (2007). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35P20 35J25 35J10 PDF BibTeX XML Cite \textit{A. Pushnitski} and \textit{V. Sloushch}, Asymptotic Anal. 51, No. 1, 63--89 (2007; Zbl 1221.35265) OpenURL
Yafaev, D. R. The Schrödinger operator: Perturbation determinants, the spectral shift function, trace identities, and all that. (English) Zbl 1222.47072 Funct. Anal. Appl. 41, No. 3, 217-236 (2007); translation from Funkts. Anal. Prilozh. 41, No. 3, 60-83 (2007). Reviewer: Wolfgang Sprößig (Freiberg) MSC: 47F05 35P20 PDF BibTeX XML Cite \textit{D. R. Yafaev}, Funct. Anal. Appl. 41, No. 3, 217--236 (2007; Zbl 1222.47072); translation from Funkts. Anal. Prilozh. 41, No. 3, 60--83 (2007) Full Text: DOI OpenURL
Romanov, A. V. Wold decomposition in Banach spaces. (English. Russian original) Zbl 1159.46012 Math. Notes 82, No. 6, 806-815 (2007); translation from Mat. Zametki 82, No. 6, 894-904 (2007). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46B20 46C07 47B15 47B38 PDF BibTeX XML Cite \textit{A. V. Romanov}, Math. Notes 82, No. 6, 806--815 (2007; Zbl 1159.46012); translation from Mat. Zametki 82, No. 6, 894--904 (2007) Full Text: DOI OpenURL
Hansmann, M. Estimating eigenvalue moments via Schatten norm bounds on semigroup differences. (English) Zbl 1158.47003 Math. Phys. Anal. Geom. 10, No. 3, 261-270 (2007). Reviewer: Viorel Iftimie (Bucureşti) MSC: 47A10 47A75 81Q10 47B10 PDF BibTeX XML Cite \textit{M. Hansmann}, Math. Phys. Anal. Geom. 10, No. 3, 261--270 (2007; Zbl 1158.47003) Full Text: DOI OpenURL