Bolokhov, T. A. Pauli-Villars regularization for some models with singular perturbations. (English. Russian original) Zbl 07794008 J. Math. Sci., New York 275, No. 3, 259-270 (2023); translation from Zap. Nauchn. Semin. POMI 509, 54-70 (2021). MSC: 47Axx 47Bxx 81Txx PDFBibTeX XMLCite \textit{T. A. Bolokhov}, J. Math. Sci., New York 275, No. 3, 259--270 (2023; Zbl 07794008); translation from Zap. Nauchn. Semin. POMI 509, 54--70 (2021) Full Text: DOI
Simon, Barry Twelve tales in mathematical physics: an expanded Heineman Prize lecture. (English) Zbl 1507.01028 J. Math. Phys. 63, No. 2, Article ID 021101, 93 p. (2022). MSC: 01A65 81-01 82-01 PDFBibTeX XMLCite \textit{B. Simon}, J. Math. Phys. 63, No. 2, Article ID 021101, 93 p. (2022; Zbl 1507.01028) Full Text: DOI arXiv
Lampart, Jonas; Schmidt, Julian On Nelson-type Hamiltonians and abstract boundary conditions. (English) Zbl 1414.81285 Commun. Math. Phys. 367, No. 2, 629-663 (2019). MSC: 81V70 81T10 81Q05 81P20 PDFBibTeX XMLCite \textit{J. Lampart} and \textit{J. Schmidt}, Commun. Math. Phys. 367, No. 2, 629--663 (2019; Zbl 1414.81285) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Dereziński}, Ann. Henri Poincaré 18, No. 10, 3249--3268 (2017; Zbl 1375.81096) Full Text: DOI arXiv
Hassi, S.; de Snoo, H. S. V.; Szafraniec, F. H. Infinite-dimensional perturbations, maximally nondensely defined symmetric operators, and some matrix representations. (English) Zbl 1262.47003 Indag. Math., New Ser. 23, No. 4, 1087-1117 (2012). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47A06 47B25 47A20 PDFBibTeX XMLCite \textit{S. Hassi} et al., Indag. Math., New Ser. 23, No. 4, 1087--1117 (2012; Zbl 1262.47003) Full Text: DOI
Yoshitomi, Kazushi Inverse spectral problems for singular rank-one perturbations of a Hill operator. (English) Zbl 1193.34025 J. Aust. Math. Soc. 87, No. 3, 421-428 (2009). Reviewer: Amin Boumenir (Carrollton) MSC: 34A55 47A55 47A75 PDFBibTeX XMLCite \textit{K. Yoshitomi}, J. Aust. Math. Soc. 87, No. 3, 421--428 (2009; Zbl 1193.34025) Full Text: DOI
Kurasov, Pavel Triplet extensions. I: Semibounded operators in the scale of Hilbert spaces. (English) Zbl 1190.47018 J. Anal. Math. 107, 251-286 (2009). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 47A57 47B25 PDFBibTeX XMLCite \textit{P. Kurasov}, J. Anal. Math. 107, 251--286 (2009; Zbl 1190.47018) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Tokyo J. Math. 31, No. 2, 273--292 (2008; Zbl 1182.47013) Full Text: DOI
Savchuk, A. M. Sturm–Liouville operators with singular potentials. (English. Russian original) Zbl 1184.47020 J. Math. Sci., New York 144, No. 4, 4264-4266 (2007); translation from Sovrem. Mat. Prilozh. 35 (2005). MSC: 47E05 34B24 34L40 PDFBibTeX XMLCite \textit{A. M. Savchuk}, J. Math. Sci., New York 144, No. 4, 4264--4266 (2007; Zbl 1184.47020); translation from Sovrem. Mat. Prilozh. 35 (2005) Full Text: DOI
Dijksma, Aad; Langer, Heinz; Shondin, Yuri Rank one perturbations at infinite coupling in Pontryagin spaces. (English) Zbl 1068.47041 J. Funct. Anal. 209, No. 1, 206-246 (2004). Reviewer: Trandafir Balan (Craiova) MSC: 47B50 47B25 47A06 34L99 33C10 PDFBibTeX XMLCite \textit{A. Dijksma} et al., J. Funct. Anal. 209, No. 1, 206--246 (2004; Zbl 1068.47041) Full Text: DOI Link
Albeverio, S.; Koshmanenko, V.; Kurasov, P.; Nizhnik, L. On approximations of rank one \({\mathcal H}_{-2}\)-perturbations. (English) Zbl 1022.47009 Proc. Am. Math. Soc. 131, No. 5, 1443-1452 (2003). Reviewer: Boris V.Loginov (Ulyanovsk) MSC: 47A55 81Q15 47B25 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Proc. Am. Math. Soc. 131, No. 5, 1443--1452 (2003; Zbl 1022.47009) Full Text: DOI
Dereziński, Jan; Früboes, Rafał Renormalization of the Friedrichs Hamiltonian. (English) Zbl 1038.81019 Rep. Math. Phys. 50, No. 3, 433-438 (2002). MSC: 81Q10 47A55 47B25 81T10 47N50 81Q15 34D15 PDFBibTeX XMLCite \textit{J. Dereziński} and \textit{R. Früboes}, Rep. Math. Phys. 50, No. 3, 433--438 (2002; Zbl 1038.81019) Full Text: DOI
Watanabe, Kazuo On the embedded eigenvalues for the self-adjoint operators with singular perturbations. (English) Zbl 1055.47014 Tokyo J. Math. 25, No. 2, 323-334 (2002). Reviewer: Denise Huet (Nancy) MSC: 47A55 47B25 81Q15 PDFBibTeX XMLCite \textit{K. Watanabe}, Tokyo J. Math. 25, No. 2, 323--334 (2002; Zbl 1055.47014) Full Text: DOI
Derkach, Vladimir; Hassi, Seppo; de Snoo, Henk Rank one perturbations in a Pontryagin space with one negative square. (English) Zbl 1028.47026 J. Funct. Anal. 188, No. 2, 317-349 (2002). Reviewer: Trandafir Balan (Craiova) MSC: 47B50 30H05 47A55 46N50 PDFBibTeX XMLCite \textit{V. Derkach} et al., J. Funct. Anal. 188, No. 2, 317--349 (2002; Zbl 1028.47026) Full Text: DOI
Posilicano, Andrea A Krein-like formula for singular perturbations of self-adjoint operators and applications. (English) Zbl 0981.47022 J. Funct. Anal. 183, No. 1, 109-147 (2001). Reviewer: Michael Perelmuter (Kyïv) MSC: 47B25 47A10 PDFBibTeX XMLCite \textit{A. Posilicano}, J. Funct. Anal. 183, No. 1, 109--147 (2001; Zbl 0981.47022) Full Text: DOI arXiv
Albeverio, Sergio; Koshmanenko, Volodymyr On the problem of the right Hamiltonian under singular form-sum perturbations. (English) Zbl 0974.47012 Rev. Math. Phys. 12, No. 1, 1-24 (2000). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 47A55 47B25 47N50 81Q10 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{V. Koshmanenko}, Rev. Math. Phys. 12, No. 1, 1--24 (2000; Zbl 0974.47012) Full Text: DOI
Kiselev, Alexander Absolutely continuous spectrum of perturbed Stark operators. (English) Zbl 0944.34068 Trans. Am. Math. Soc. 352, No. 1, 243-256 (2000). Reviewer: Satyanad Kichenassamy (Reims) MSC: 34L40 81Q10 PDFBibTeX XMLCite \textit{A. Kiselev}, Trans. Am. Math. Soc. 352, No. 1, 243--256 (2000; Zbl 0944.34068) Full Text: DOI arXiv
Neiman-Zade, M. I.; Shkalikov, A. A. Schrödinger operators with singular potentials from the space of multiplicators. (English. Russian original) Zbl 0991.47036 Math. Notes 66, No. 5, 599-608 (1999); translation from Mat. Zametki 66, No. 5, 723-733 (1999). Reviewer: M.Kučera (Praha) MSC: 47F05 35J10 35B27 PDFBibTeX XMLCite \textit{M. I. Neiman-Zade} and \textit{A. A. Shkalikov}, Math. Notes 66, No. 5, 599--608 (1999; Zbl 0991.47036); translation from Mat. Zametki 66, No. 5, 723--733 (1999) Full Text: DOI
Karataeva, T. V.; Koshmanenko, V. D. Generalized sum of operators. (English. Russian original) Zbl 0967.47016 Math. Notes 66, No. 5, 556-564 (1999); translation from Mat. Zametki 66, No. 5, 671-681 (1999). MSC: 47B25 47A20 PDFBibTeX XMLCite \textit{T. V. Karataeva} and \textit{V. D. Koshmanenko}, Math. Notes 66, No. 5, 556--564 (1999; Zbl 0967.47016); translation from Mat. Zametki 66, No. 5, 671--681 (1999) Full Text: DOI
Savchuk, A. M.; Shkalikov, A. A. Sturm-Liouville operators with singular potentials. (English. Russian original) Zbl 0968.34072 Math. Notes 66, No. 6, 741-753 (1999); translation from Mat. Zametki 66, No. 6, 897-912 (1999). MSC: 34L40 34B24 PDFBibTeX XMLCite \textit{A. M. Savchuk} and \textit{A. A. Shkalikov}, Math. Notes 66, No. 6, 741--753 (1999; Zbl 0968.34072); translation from Mat. Zametki 66, No. 6, 897--912 (1999) Full Text: DOI
Albeverio, Sergio; Koshmanenko, Volodymyr On form-sum approximations of singularly perturbed positive self-adjoint operators. (English) Zbl 0944.47008 J. Funct. Anal. 169, No. 1, 32-51 (1999). Reviewer: Takashi Ichinose (Kanazawa) MSC: 47A55 47B25 46E35 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{V. Koshmanenko}, J. Funct. Anal. 169, No. 1, 32--51 (1999; Zbl 0944.47008) Full Text: DOI
Kurasov, P.; Boman, J. Finite rank singular perturbations and distributions with discontinuous test functions. (English) Zbl 0894.34079 Proc. Am. Math. Soc. 126, No. 6, 1673-1683 (1998). MSC: 34L40 81Q15 47A55 46F10 47E05 37J99 PDFBibTeX XMLCite \textit{P. Kurasov} and \textit{J. Boman}, Proc. Am. Math. Soc. 126, No. 6, 1673--1683 (1998; Zbl 0894.34079) Full Text: DOI
Albeverio, S.; Kurasov, P. Rank one perturbations of not semibounded operators. (English) Zbl 0901.47004 Integral Equations Oper. Theory 27, No. 4, 379-400 (1997). MSC: 47A55 47D06 81Q15 47N20 34L10 47A20 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{P. Kurasov}, Integral Equations Oper. Theory 27, No. 4, 379--400 (1997; Zbl 0901.47004) Full Text: DOI
Hassi, Seppo; de Snoo, Henk On rank one perturbations of selfadjoint operators. (English) Zbl 0899.47009 Integral Equations Oper. Theory 29, No. 3, 288-300 (1997). MSC: 47A55 47B25 81Q10 47A70 PDFBibTeX XMLCite \textit{S. Hassi} and \textit{H. de Snoo}, Integral Equations Oper. Theory 29, No. 3, 288--300 (1997; Zbl 0899.47009) Full Text: DOI
Albeverio, S.; Kurasov, P. Rank one perturbations, approximations, and selfadjoint extensions. (English) Zbl 0908.47010 J. Funct. Anal. 148, No. 1, 152-169 (1997). Reviewer: M.Demuth (Clausthal) MSC: 47A55 47B25 47A20 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{P. Kurasov}, J. Funct. Anal. 148, No. 1, 152--169 (1997; Zbl 0908.47010) Full Text: DOI
Simon, Barry Operators with singular continuous spectrum. VII: Examples with borderline time decay. (English) Zbl 0848.34069 Commun. Math. Phys. 176, No. 3, 713-722 (1996). MSC: 34L30 47A10 PDFBibTeX XMLCite \textit{B. Simon}, Commun. Math. Phys. 176, No. 3, 713--722 (1996; Zbl 0848.34069) Full Text: DOI
Gesztesy, F.; Simon, B. Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators. (English) Zbl 0846.34090 Trans. Am. Math. Soc. 348, No. 1, 349-373 (1996). Reviewer: V.Burjan (Praha) MSC: 34L40 81Q10 34B24 34L05 34A55 34B20 47A10 PDFBibTeX XMLCite \textit{F. Gesztesy} and \textit{B. Simon}, Trans. Am. Math. Soc. 348, No. 1, 349--373 (1996; Zbl 0846.34090) Full Text: DOI