Kostenko, Aleksey; Nicolussi, Noema Laplacians on infinite graphs: discrete vs. continuous. (English) Zbl 07763394 Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 295-323 (2023). MSC: 47B25 05C63 81Q35 35R02 60J27 PDFBibTeX XMLCite \textit{A. Kostenko} and \textit{N. Nicolussi}, in: European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20--26, 2021. Berlin: European Mathematical Society (EMS). 295--323 (2023; Zbl 07763394) Full Text: DOI arXiv
Kostenko, Aleksey; Nicolussi, Noema Laplacians on infinite graphs. (English) Zbl 1521.05002 Memoirs of the European Mathematical Society 3. Berlin: European Mathematical Society (EMS) (ISBN 978-3-98547-025-9/pbk; 978-3-98547-525-4/ebook). viii, 232 p. (2023). Reviewer: Shuchao Li (Wuhan) MSC: 05-02 05C35 05C22 05C90 34B45 35R01 60J27 81Q35 35J10 PDFBibTeX XMLCite \textit{A. Kostenko} and \textit{N. Nicolussi}, Laplacians on infinite graphs. Berlin: European Mathematical Society (EMS) (2023; Zbl 1521.05002) Full Text: DOI
Kostenko, Aleksey; Mugnolo, Delio; Nicolussi, Noema Self-adjoint and Markovian extensions of infinite quantum graphs. (English) Zbl 07731388 J. Lond. Math. Soc., II. Ser. 105, No. 2, 1262-1313 (2022). MSC: 81Q35 05C50 47B93 34B45 47B25 81Q10 05C12 28A75 35J05 05C22 PDFBibTeX XMLCite \textit{A. Kostenko} et al., J. Lond. Math. Soc., II. Ser. 105, No. 2, 1262--1313 (2022; Zbl 07731388) Full Text: DOI arXiv
Kostenko, Aleksey; Malamud, Mark; Nicolussi, Noema A Glazman-Povzner-Wienholtz theorem on graphs. (English) Zbl 1503.81035 Adv. Math. 395, Article ID 108158, 30 p. (2022). MSC: 81Q35 05C50 39A12 34B45 47B25 81Q10 PDFBibTeX XMLCite \textit{A. Kostenko} et al., Adv. Math. 395, Article ID 108158, 30 p. (2022; Zbl 1503.81035) Full Text: DOI arXiv
Kostenko, Aleksey; Nicolussi, Noema Quantum graphs on radially symmetric antitrees. (English) Zbl 1483.81074 J. Spectr. Theory 11, No. 2, 411-460 (2021). Reviewer: Mustafa Salti (Mersin) MSC: 81Q35 35J05 34B24 34B45 35P15 81Q10 47B25 PDFBibTeX XMLCite \textit{A. Kostenko} and \textit{N. Nicolussi}, J. Spectr. Theory 11, No. 2, 411--460 (2021; Zbl 1483.81074) Full Text: DOI arXiv
Kostenko, Aleksey; Nicolussi, Noema A note on the Gaffney Laplacian on infinite metric graphs. (English) Zbl 1475.35374 J. Funct. Anal. 281, No. 10, Article ID 109216, 20 p. (2021). MSC: 35R02 47B25 81Q10 05C50 PDFBibTeX XMLCite \textit{A. Kostenko} and \textit{N. Nicolussi}, J. Funct. Anal. 281, No. 10, Article ID 109216, 20 p. (2021; Zbl 1475.35374) Full Text: DOI arXiv
Boscain, Ugo (ed.); Kostenko, Aleksey (ed.); Pankrashkin, Konstantin (ed.) Mini-workshop: Self-adjoint extensions in new settings. Abstracts from the mini-workshop held October 6–12, 2019. (English) Zbl 1454.00044 Oberwolfach Rep. 16, No. 4, 2911-2950 (2019). MSC: 00B05 00B25 53-06 58-08 81-06 81Q10 34B45 53C17 35J67 58J05 35J70 PDFBibTeX XMLCite \textit{U. Boscain} (ed.) et al., Oberwolfach Rep. 16, No. 4, 2911--2950 (2019; Zbl 1454.00044) Full Text: DOI
Kostenko, Aleksey; Nicolussi, Noema Spectral estimates for infinite quantum graphs. (English) Zbl 1404.81111 Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 15, 40 p. (2019). MSC: 81Q35 34B45 35P15 PDFBibTeX XMLCite \textit{A. Kostenko} and \textit{N. Nicolussi}, Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 15, 40 p. (2019; Zbl 1404.81111) Full Text: DOI arXiv
Exner, Pavel; Kostenko, Aleksey; Malamud, Mark; Neidhardt, Hagen Spectral theory of infinite quantum graphs. (English) Zbl 1476.81047 Ann. Henri Poincaré 19, No. 11, 3457-3510 (2018). MSC: 81Q35 81Q10 PDFBibTeX XMLCite \textit{P. Exner} et al., Ann. Henri Poincaré 19, No. 11, 3457--3510 (2018; Zbl 1476.81047) Full Text: DOI arXiv
Koornwinder, Tom; Kostenko, Aleksey; Teschl, Gerald Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator. (English) Zbl 1405.33012 Adv. Math. 333, 796-821 (2018). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 33C45 47B36 81U30 81Q05 PDFBibTeX XMLCite \textit{T. Koornwinder} et al., Adv. Math. 333, 796--821 (2018; Zbl 1405.33012) Full Text: DOI arXiv
Eckhardt, Jonathan; Kostenko, Aleksey; Teschl, Gerald Spectral asymptotics for canonical systems. (English) Zbl 1403.35189 J. Reine Angew. Math. 736, 285-315 (2018). Reviewer: Denis A. White (Toledo) MSC: 35P20 34L40 81Q10 PDFBibTeX XMLCite \textit{J. Eckhardt} et al., J. Reine Angew. Math. 736, 285--315 (2018; Zbl 1403.35189) Full Text: DOI arXiv
Kostenko, A. S.; Malamud, M. M.; Neidhardt, H.; Exner, P. Infinite quantum graphs. (English. Russian original) Zbl 1365.05177 Dokl. Math. 95, No. 1, 31-36 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 3, 253-258 (2017). MSC: 05C50 05C63 81Q99 PDFBibTeX XMLCite \textit{A. S. Kostenko} et al., Dokl. Math. 95, No. 1, 31--36 (2017; Zbl 1365.05177); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 3, 253--258 (2017) Full Text: DOI
Holzleitner, Markus; Kostenko, Aleksey; Teschl, Gerald Dispersion estimates for spherical Schrödinger equations: the effect of boundary conditions. (English) Zbl 1360.35214 Opusc. Math. 36, No. 6, 769-786 (2016). MSC: 35Q41 34L25 81U30 81Q15 35P25 PDFBibTeX XMLCite \textit{M. Holzleitner} et al., Opusc. Math. 36, No. 6, 769--786 (2016; Zbl 1360.35214) Full Text: DOI arXiv
Kostenko, Aleksey; Teschl, Gerald; Toloza, Julio H. Dispersion estimates for spherical Schrödinger equations. (English) Zbl 1360.34175 Ann. Henri Poincaré 17, No. 11, 3147-3176 (2016). Reviewer: Shlomo Carmi (Baltimore) MSC: 34L40 34B24 81Q05 81Q10 81U30 PDFBibTeX XMLCite \textit{A. Kostenko} et al., Ann. Henri Poincaré 17, No. 11, 3147--3176 (2016; Zbl 1360.34175) Full Text: DOI arXiv
Kostenko, Aleksey; Teschl, Gerald Dispersion estimates for the discrete Laguerre operator. (English) Zbl 1334.35265 Lett. Math. Phys. 106, No. 4, 545-555 (2016). MSC: 35Q41 47B36 81U30 81Q05 PDFBibTeX XMLCite \textit{A. Kostenko} and \textit{G. Teschl}, Lett. Math. Phys. 106, No. 4, 545--555 (2016; Zbl 1334.35265) Full Text: DOI arXiv
Beigl, Alexander; Eckhardt, Jonathan; Kostenko, Aleksey; Teschl, Gerald On spectral deformations and singular Weyl functions for one-dimensional Dirac operators. (English) Zbl 1305.81076 J. Math. Phys. 56, No. 1, 012102, 11 p. (2015). MSC: 81Q05 34L40 PDFBibTeX XMLCite \textit{A. Beigl} et al., J. Math. Phys. 56, No. 1, 012102, 11 p. (2015; Zbl 1305.81076) Full Text: DOI arXiv
Eckhardt, Jonathan; Kostenko, Aleksey; Malamud, Mark; Teschl, Gerald One-dimensional Schrödinger operators with \(\delta'\)-interactions on Cantor-type sets. (English) Zbl 1296.34174 J. Differ. Equations 257, No. 2, 415-449 (2014). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 34L40 81Q10 34L05 34L20 PDFBibTeX XMLCite \textit{J. Eckhardt} et al., J. Differ. Equations 257, No. 2, 415--449 (2014; Zbl 1296.34174) Full Text: DOI arXiv
Kostenko, Aleksey; Malamud, Mark Spectral theory of semibounded Schrödinger operators with \(\delta'\)-interactions. (English) Zbl 1291.81152 Ann. Henri Poincaré 15, No. 3, 501-541 (2014). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 81Q10 PDFBibTeX XMLCite \textit{A. Kostenko} and \textit{M. Malamud}, Ann. Henri Poincaré 15, No. 3, 501--541 (2014; Zbl 1291.81152) Full Text: DOI arXiv
Albeverio, Sergio; Kostenko, Aleksey; Malamud, Mark; Neidhardt, Hagen Spherical Schrödinger operators with \({\delta}-\)type interactions. (English) Zbl 1282.81067 J. Math. Phys. 54, No. 5, 052103, 24 p. (2013). MSC: 81Q05 81Q10 34L10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Math. Phys. 54, No. 5, 052103, 24 p. (2013; Zbl 1282.81067) Full Text: DOI arXiv
Albeverio, Sergio; Kostenko, Aleksey; Malamud, Mark Spectral theory of semibounded Sturm-Liouville operators with local interactions on a discrete set. (English) Zbl 1314.81059 J. Math. Phys. 51, No. 10, 102102, 24 p. (2010). MSC: 81Q05 81Q10 46F10 34L40 34B24 47B25 47B36 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Math. Phys. 51, No. 10, 102102, 24 p. (2010; Zbl 1314.81059) Full Text: DOI
Kostenko, Aleksey S.; Malamud, Mark M. 1-D Schrödinger operators with local point interactions on a discrete set. (English) Zbl 1195.47031 J. Differ. Equations 249, No. 2, 253-304 (2010). Reviewer: Vjacheslav Yurko (Saratov) MSC: 47E05 34L40 47B25 47B36 81Q10 PDFBibTeX XMLCite \textit{A. S. Kostenko} and \textit{M. M. Malamud}, J. Differ. Equations 249, No. 2, 253--304 (2010; Zbl 1195.47031) Full Text: DOI arXiv Link