Exner, Pavel (ed.); Frank, Rupert L. (ed.); Gesztesy, Fritz (ed.); Holden, Helge (ed.); Weidl, Timo (ed.) Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. (English) Zbl 1465.35005 EMS Series of Congress Reports. Berlin: European Mathematical Society (EMS) (ISBN 978-3-98547-007-5/hbk; 978-3-98547-507-0/ebook). xii, 481 p. (2021). MSC: 35-06 47-06 81-06 00B15 00B30 PDFBibTeX XMLCite \textit{P. Exner} (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS) (2021; Zbl 1465.35005) Full Text: DOI
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger On the index of meromorphic operator-valued functions and some applications. (English) Zbl 1441.47012 Dittrich, Jaroslav (ed.) et al., Functional analysis and operator theory for quantum physics. The Pavel Exner anniversary volume. Dedicated to Pavel Exner on the occasion of his 70th birthday. Zürich: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 95-127 (2017). Reviewer: Cătălin Badea (Villeneuve d’Ascq) MSC: 47A56 47A53 47A68 PDFBibTeX XMLCite \textit{J. Behrndt} et al., in: Functional analysis and operator theory for quantum physics. The Pavel Exner anniversary volume. Dedicated to Pavel Exner on the occasion of his 70th birthday. Zürich: European Mathematical Society (EMS). 95--127 (2017; Zbl 1441.47012) Full Text: arXiv
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger Dirichlet-to-Neumann maps, abstract Weyl-Titchmarsh \(M\)-functions, and a generalized index of unbounded meromorphic operator-valued functions. (English) Zbl 1350.47009 J. Differ. Equations 261, No. 6, 3551-3587 (2016). MSC: 47A53 47A56 47A10 47B07 PDFBibTeX XMLCite \textit{J. Behrndt} et al., J. Differ. Equations 261, No. 6, 3551--3587 (2016; Zbl 1350.47009) Full Text: DOI arXiv
Gesztesy, Fritz; Holden, Helge; Nichols, Roger Erratum to: “On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions”. (English) Zbl 1465.47010 Integral Equations Oper. Theory 85, No. 2, 301-302 (2016). MSC: 47A56 47A68 47A55 PDFBibTeX XMLCite \textit{F. Gesztesy} et al., Integral Equations Oper. Theory 85, No. 2, 301--302 (2016; Zbl 1465.47010) Full Text: DOI
Gesztesy, Fritz; Holden, Helge; Nichols, Roger On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions. (English) Zbl 1316.47014 Integral Equations Oper. Theory 82, No. 1, 61-94 (2015); erratum ibid. 85, No. 2, 301-302 (2016). MSC: 47A56 47A68 47A55 PDFBibTeX XMLCite \textit{F. Gesztesy} et al., Integral Equations Oper. Theory 82, No. 1, 61--94 (2015; Zbl 1316.47014) Full Text: DOI arXiv
Holden, Helge (ed.); Simon, Barry (ed.); Teschl, Gerald (ed.) Spectral analysis, differential equations and mathematical physics: A Festschrift in honor of Fritz Gesztesy’s 60th birthday. (English) Zbl 1270.00040 Proceedings of Symposia in Pure Mathematics 87. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-7574-2/hbk). xxx, 376 p. (2013). MSC: 00B15 00B30 01A70 34-06 35-06 46-06 47-06 81-06 93-06 PDFBibTeX XMLCite \textit{H. Holden} (ed.) et al., Spectral analysis, differential equations and mathematical physics: A Festschrift in honor of Fritz Gesztesy's 60th birthday. Providence, RI: American Mathematical Society (AMS) (2013; Zbl 1270.00040)
Gesztesy, Fritz; Goldstein, Jerome A.; Holden, Helge; Teschl, Gerald Abstract wave equations and associated Dirac-type operators. (English) Zbl 1262.35174 Ann. Mat. Pura Appl. (4) 191, No. 4, 631-676 (2012). Reviewer: Stephan Fackler (Ulm) MSC: 35L90 35L15 47D06 PDFBibTeX XMLCite \textit{F. Gesztesy} et al., Ann. Mat. Pura Appl. (4) 191, No. 4, 631--676 (2012; Zbl 1262.35174) Full Text: DOI arXiv
Gesztesy, Fritz; Holden, Helge The damped string problem revisited. (English) Zbl 1223.47049 J. Differ. Equations 251, No. 4-5, 1086-1127 (2011). Reviewer: Rudolf Kodnár (Bratislava) MSC: 47F05 35L20 35L50 47A05 35P10 PDFBibTeX XMLCite \textit{F. Gesztesy} and \textit{H. Holden}, J. Differ. Equations 251, No. 4--5, 1086--1127 (2011; Zbl 1223.47049) Full Text: DOI arXiv
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy. (English) Zbl 1178.37074 Discrete Contin. Dyn. Syst. 26, No. 1, 151-196 (2010). MSC: 37K10 37K20 47B36 35C05 37K60 PDFBibTeX XMLCite \textit{F. Gesztesy} et al., Discrete Contin. Dyn. Syst. 26, No. 1, 151--196 (2010; Zbl 1178.37074) Full Text: DOI
Gesztesy, Fritz; Holden, Helge; Teschl, Gerald The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data. (English) Zbl 1143.37045 Rev. Mat. Iberoam. 24, No. 1, 117-182 (2008). MSC: 37K10 37K20 47B36 35Q51 PDFBibTeX XMLCite \textit{F. Gesztesy} et al., Rev. Mat. Iberoam. 24, No. 1, 117--182 (2008; Zbl 1143.37045) Full Text: DOI arXiv Euclid EuDML
Gesztesy, Fritz; Holden, Helge Local conservation laws and the Hamiltonian formalism for the Toda hierarchy revisited. (English) Zbl 1162.37326 Skr., K. Nor. Vidensk. Selsk. 2006, No. 3, 1-30 (2006). MSC: 37K10 37K20 47B36 35Q58 37K60 PDFBibTeX XMLCite \textit{F. Gesztesy} and \textit{H. Holden}, Skr., K. Nor. Vidensk. Selsk. 2006, No. 3, 1--30 (2006; Zbl 1162.37326) Full Text: arXiv
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge [Exner, Pavel] Solvable models in quantum mechanics. With an appendix by Pavel Exner. 2nd revised ed. (English) Zbl 1078.81003 Providence, RI: AMS Chelsea Publishing (ISBN 0-8218-3624-2/hbk). xiv, 488 p. (2005). Reviewer: Johannes F. Brasche (Clausthal) MSC: 81-02 47N50 81Q10 81U05 81U15 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Solvable models in quantum mechanics. With an appendix by Pavel Exner. 2nd revised ed. Providence, RI: AMS Chelsea Publishing (2005; Zbl 1078.81003)
Clark, Steve; Gesztesy, Fritz; Holden, Helge; Levitan, Boris M. Borg-type theorems for matrix-valued Schrödinger operators. (English) Zbl 0970.34073 J. Differ. Equations 167, No. 1, 181-210 (2000). Reviewer: Tuncay Aktosun (Fargo) MSC: 34L40 34L05 34A55 47B25 PDFBibTeX XMLCite \textit{S. Clark} et al., J. Differ. Equations 167, No. 1, 181--210 (2000; Zbl 0970.34073) Full Text: DOI arXiv
Gesztesy, F.; Holden, H. On trace formulas for Schrödinger-type operators. (English) Zbl 0881.34027 Truhlar, Donald G. (ed.) et al., Multiparticle quantum scattering with applications to nuclear, atomic and molecular physics. Proceedings of a workshop at the Univ. of Minnesota, Minneapolis, MN, USA, June 12–16, 1995. New York, NY: Springer. IMA Vol. Math. Appl. 89, 121-145 (1997). Reviewer: W.D.Evans (Cardiff) MSC: 34A55 34L40 47E05 PDFBibTeX XMLCite \textit{F. Gesztesy} and \textit{H. Holden}, IMA Vol. Math. Appl. 89, 121--145 (1997; Zbl 0881.34027)
Gesztesy, F.; Holden, H.; Simon, B.; Zhao, Z. A trace formula for multidimensional Schrödinger operators. (English) Zbl 0864.35030 J. Funct. Anal. 141, No. 2, 449-465 (1996). Reviewer: A.Martinez (Villetaneuse) MSC: 35J10 35P05 47D03 PDFBibTeX XMLCite \textit{F. Gesztesy} et al., J. Funct. Anal. 141, No. 2, 449--465 (1996; Zbl 0864.35030) Full Text: DOI Link
Gesztesy, F.; Holden, H. On new trace formulae for Schrödinger operators. (English) Zbl 0830.35118 Acta Appl. Math. 39, No. 1-3, 315-333 (1995). MSC: 35Q53 34L05 81Q10 35P05 47A10 PDFBibTeX XMLCite \textit{F. Gesztesy} and \textit{H. Holden}, Acta Appl. Math. 39, No. 1--3, 315--333 (1995; Zbl 0830.35118) Full Text: DOI
Gesztesy, F.; Holden, H. Errata: Trace formulas and conservation laws for nonlinear evolution equations. (English) Zbl 0820.35116 Rev. Math. Phys. 6, No. 4, 673 (1994). MSC: 35Q53 47A40 58J50 PDFBibTeX XMLCite \textit{F. Gesztesy} and \textit{H. Holden}, Rev. Math. Phys. 6, No. 4, 673 (1994; Zbl 0820.35116) Full Text: DOI
Gesztesy, F.; Holden, H. Trace formulas and conservation laws for nonlinear evolution equations. (English) Zbl 0805.35113 Rev. Math. Phys. 6, No. 1, 51-95 (1994). MSC: 35Q53 47A40 58J50 PDFBibTeX XMLCite \textit{F. Gesztesy} and \textit{H. Holden}, Rev. Math. Phys. 6, No. 1, 51--95 (1994; Zbl 0805.35113) Full Text: DOI
Holden, Helge (ed.); Jensen, Arne (ed.) Schrödinger operators. Proceedings of the nordic summer school in mathematics held at Sandbjerg Slot, Sønderborg, Denmark, August 1-12, 1988. (English) Zbl 0686.00012 Lecture Notes in Physics, 345. Berlin etc.: Springer-Verlag. v, 458 p. DM 88.00 (1989). MSC: 00B25 35-06 47-06 PDFBibTeX XML
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge Solvable models in quantum mechanics. (English) Zbl 0679.46057 Texts and Monographs in Physics. New York etc.: Springer-Verlag. xiv, 452 p. DM 158.00 (1988). Reviewer: H.Araki MSC: 46N50 81-02 81Q05 47A70 35P25 81U05 81Q10 81V70 03H10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Solvable models in quantum mechanics. New York etc.: Springer-Verlag (1988; Zbl 0679.46057)
Gesztesy, F.; Holden, H.; Kirsch, W. On energy gaps in a new type of analytically solvable model in quantum mechanics. (English) Zbl 0669.47002 J. Math. Anal. Appl. 134, No. 1, 9-29 (1988). Reviewer: F.Gesztezy MSC: 47A10 81Q05 PDFBibTeX XMLCite \textit{F. Gesztesy} et al., J. Math. Anal. Appl. 134, No. 1, 9--29 (1988; Zbl 0669.47002) Full Text: DOI
Gesztesy, F.; Gurarie, D.; Holden, H.; Klaus, M.; Sadun, L.; Simon, B.; Vogl, P. Trapping and cascading of eigenvalues in the large coupling limit. (English) Zbl 0669.35085 Commun. Math. Phys. 118, No. 4, 597-634 (1988). Reviewer: W.D.Frans MSC: 35P05 35J25 47A55 35Q99 81Q15 PDFBibTeX XMLCite \textit{F. Gesztesy} et al., Commun. Math. Phys. 118, No. 4, 597--634 (1988; Zbl 0669.35085) Full Text: DOI
Holden, Helge On coupling constant thresholds in two dimensions. (English) Zbl 0593.35031 J. Oper. Theory 14, 263-276 (1985). Reviewer: J.Ginibre MSC: 35J10 35P15 47A10 81Q99 PDFBibTeX XMLCite \textit{H. Holden}, J. Oper. Theory 14, 263--276 (1985; Zbl 0593.35031)
Holden, Helge; Høegh-Krohn, Raphael; Johannesen, Steinar The short-range expansion in solid state physics. (English) Zbl 0594.46066 Ann. Inst. Henri Poincaré, Phys. Théor. 41, 335-362 (1984). MSC: 46N99 47F05 82D20 82D25 PDFBibTeX XMLCite \textit{H. Holden} et al., Ann. Inst. Henri Poincaré, Phys. Théor. 41, 335--362 (1984; Zbl 0594.46066) Full Text: Numdam EuDML
Albeverio, Sergio; Høegh-Krohn, Raphael; Gesztesy, Friedrich; Holden, Helge Some exactly solvable models in quantum mechanics and the low energy expansions. (English) Zbl 0562.47009 Operator algebras, ideals, and their applications in theoretical physics, Proc. int. Conf., Leipzig 1983, Teubner-Texte Math. 67, 12-28 (1984). Reviewer: M.Codegone MSC: 47A40 35J10 81Q10 46N99 PDFBibTeX XML
Holden, Helge; Høegh-Krohn, Raphael; Johannesen, Steinar The short range expansion. (English) Zbl 0546.35019 Adv. Appl. Math. 4, 402-421 (1983). MSC: 35J10 47A55 35P05 47A10 PDFBibTeX XMLCite \textit{H. Holden} et al., Adv. Appl. Math. 4, 402--421 (1983; Zbl 0546.35019) Full Text: DOI
Høegh-Krohn, Raphael; Holden, Helge; Martinelli, Fabio The spectrum of defect periodic point interactions. (English) Zbl 0539.47003 Lett. Math. Phys. 7, 221-228 (1983). Reviewer: R.Salvi MSC: 47A10 47F05 82B10 PDFBibTeX XMLCite \textit{R. Høegh-Krohn} et al., Lett. Math. Phys. 7, 221--228 (1983; Zbl 0539.47003) Full Text: DOI