Analysis as a Tool in Mathematical Physics:In Memory of Boris Pavlov

图书简介

Boris Pavlov (1936-2016), to whom this volume is dedicated, was a prominent specialist in analysis, operator theory, and mathematical physics.As one of the most influential members of the St. Petersburg Mathematical School, he was one of the founders of the Leningrad School of Non-self-adjointOperators. This volume collects research papers originating from two conferences that were organized in memory of Boris Pavlov: “Spectral Theoryand Applications”, held in Stockholm, Sweden, in March 2016, and “Operator Theory, Analysis and Mathematical Physics–OTAMP2016” held at the Euler Institute in St.Petersburg, Russia, in August 2016. The volume also includes water-color paintings by Boris Pavlov, some personal photographs, as well astributes from friends and colleagues.

Part I - Memorial Contributions.-Life and career.-Water-colours by Boris Pavlov.-Family and leisure.-Pavlov?s mathematics.- Part II - Research Papers.- Singular perturbations of unbounded selfadjointoperators. Reverse approach.-Generic asymptotics ofresonance counting function for Schr鰀inger point interactions.-Spectral clusters, asymmetricspaces, and boundary control for Schrodinger equation with strongsingularities.-The secondWeyl coefficient for a first order system.-A Lieb-Thirring type inequalityfor magnetic Schr鰀inger operators with a radial symmetry.-Scattering matrices and Weylfunctions of quasi boundary triples.-On the spectrum ofthe quantum Rabi model.-Scattering theory for a class of non-selfadjoint extensions of symmetricoperators.- Asymptoticsof Chebyshev polynomials, III. Sets saturating Szego, Schiefermayr,and Totitk-Widom bounds.-Solvability and complex limit characteristics.-Quantization of Gaussians.-A resonanceinteraction of seismogravitational modes of tectonic plates.-On positivity preserving,translation invariant, operators in Lp(Rn)m.-The distributionof path lengths on directed weighted graphs.-Diagonalization of indenite saddlepoint forms.-Solutionsof Gross-Pitaevskii equation with periodic potential in dimensiontwo.-The Integral Transform of N.I. Akhiezer.-On Gaussian random matrices coupled to thediscrete Laplacian.-Modern results in thespectral analysis for a class of integral-difference operators andapplication to physical processes.- Inverse problem forintegral-difference operators on graphs.-Quantum graph in a magnetic field and resonance states completeness.-On Zd-symmetry of spectra of some nuclear operators.-Spectral monotonicityfor Schr鰀inger operators on metric graphs.-Linear Operators and Operator Functions Associatedwith Spectral Boundary Value Problem.

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Analysis as a Tool in Mathematical Physics:In Memory of Boris Pavlov（Operator Theory: Advances and Applications） · 泛函分析

Analysis as a Tool in Mathematical Physics:In Memory of Boris Pavlov（Operator Theory: Advances and Applications）

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泛函分析