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
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 On a necessary aspect for the Riesz basis property for indefinite Sturm-Liouville problems. (English) Zbl 1311.34056 Math. Nachr. 287, No. 14-15, 1710-1732 (2014). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 34B24 26D10 34L10 34B20 47A75 PDFBibTeX XMLCite \textit{A. Kostenko}, Math. Nachr. 287, No. 14--15, 1710--1732 (2014; Zbl 1311.34056) 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
Ćurgus, Branko; Fleige, Andreas; Kostenko, Aleksey The Riesz basis property of an indefinite Sturm-Liouville problem with non-separated boundary conditions. (English) Zbl 1292.34080 Integral Equations Oper. Theory 77, No. 4, 533-557 (2013). Reviewer: Rodica Luca (Iaşi) MSC: 34L10 34B09 34B24 47B50 26D10 PDFBibTeX XMLCite \textit{B. Ćurgus} et al., Integral Equations Oper. Theory 77, No. 4, 533--557 (2013; Zbl 1292.34080) 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
Kostenko, Aleksey The similarity problem for indefinite Sturm-Liouville operators and the HELP inequality. (English) Zbl 1287.34017 Adv. Math. 246, 368-413 (2013). MSC: 34B24 26D10 34L10 47A10 47A75 34B20 PDFBibTeX XMLCite \textit{A. Kostenko}, Adv. Math. 246, 368--413 (2013; Zbl 1287.34017) Full Text: DOI arXiv
Kostenko, Aleksey; Teschl, Gerald Spectral asymptotics for perturbed spherical Schrödinger operators and applications to quantum scattering. (English) Zbl 1284.34130 Commun. Math. Phys. 322, No. 1, 255-275 (2013). Reviewer: Shlomo Carmi (Baltimore) MSC: 34L40 34L05 34B20 PDFBibTeX XMLCite \textit{A. Kostenko} and \textit{G. Teschl}, Commun. Math. Phys. 322, No. 1, 255--275 (2013; Zbl 1284.34130) Full Text: DOI arXiv
Kostenko, Aleksey; Sakhnovich, Alexander; Teschl, Gerald Commutation methods for Schrödinger operators with strongly singular potentials. (English) Zbl 1250.34069 Math. Nachr. 285, No. 4, 392-410 (2012). Reviewer: Hubert Kalf (München) MSC: 34L05 34B20 34B24 34L40 47E05 PDFBibTeX XMLCite \textit{A. Kostenko} et al., Math. Nachr. 285, No. 4, 392--410 (2012; Zbl 1250.34069) Full Text: DOI arXiv
Kostenko, Aleksey; Teschl, Gerald On the singular Weyl-Titchmarsh function of perturbed spherical Schrödinger operators. (English) Zbl 1219.34037 J. Differ. Equations 250, No. 9, 3701-3739 (2011). Reviewer: Pavel Rehak (Brno) MSC: 34B20 34L40 34B30 34L05 PDFBibTeX XMLCite \textit{A. Kostenko} and \textit{G. Teschl}, J. Differ. Equations 250, No. 9, 3701--3739 (2011; Zbl 1219.34037) Full Text: DOI arXiv
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
Karabash, Illya M.; Kostenko, Aleksey S.; Malamud, Mark M. The similarity problem for \(J\)-nonnegative Sturm-Liouville operators. (English) Zbl 1165.34012 J. Differ. Equations 246, No. 3, 964-997 (2009). Reviewer: Andreas Fleige (Dortmund) MSC: 34B24 34B09 34B20 34L40 PDFBibTeX XMLCite \textit{I. M. Karabash} et al., J. Differ. Equations 246, No. 3, 964--997 (2009; Zbl 1165.34012) Full Text: DOI arXiv