Etudes of the resolvent

DOI10.1070/RM9917zbMath1440.47004arXiv2004.11950MaRDI QIDQ5112451

L. A. Takhtadzhyan

Publication date: 29 May 2020

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.11950

zbMATH Keywords

Schrödinger operatorRiemann zeta-functionSturm-Liouville operatorJost solutionseigenfunction expansionsGelfand-Levitan trace formulaEisenstein-Maass seriesHilbert identitiesresolvent of an operatorcharacteristic determinant of an operatorDedekind zeta-functions of imaginary quadratic fieldsfunctional-difference operatorLaplace operator on Lobachevsky planeZakharov-Faddeev trace identities

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)

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The extension of cochain complexes of meromorphic functions to multiplications ⋮ Maximally chaotic dynamical systems ⋮ Trace formulas for the modified Mathieu equation

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