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Analysis as a tool in mathematical p...

Kurasov, Pavel.

Analysis as a tool in mathematical physicsin memory of Boris Pavlov /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Analysis as a tool in mathematical physicsedited by Pavel Kurasov ... [et al.].
Reminder of title:	in memory of Boris Pavlov /
other author:	Kurasov, Pavel.
Published:	Cham :Springer International Publishing :2020.
Description:	xii, 626 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Mathematical analysis.
Online resource:	https://doi.org/10.1007/978-3-030-31531-3
ISBN:	9783030315313$q(electronic bk.)

Analysis as a tool in mathematical physicsin memory of Boris Pavlov /
Analysis as a tool in mathematical physicsin memory of Boris Pavlov /[electronic resource] :edited by Pavel Kurasov ... [et al.]. - Cham :Springer International Publishing :2020. - xii, 626 p. :ill., digital ;24 cm. - Operator theory: advances and applications,v.2760255-0156 ;. - Operator theory: advances and applications ;v.219..

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 selfadjoint operators. Reverse approach -- Generic asymptotics of resonance counting function for Schrodinger point interactions -- Spectral clusters, asymmetric spaces, and boundary control for Schrodinger equation with strong singularities -- The second Weyl coefficient for a first order system -- A Lieb-Thirring type inequality for magnetic Schrodinger operators with a radial symmetry -- Scattering matrices and Weyl functions of quasi boundary triples -- On the spectrum of the quantum Rabi model -- Scattering theory for a class of non-selfadjoint extensions of symmetric operators -- Asymptotics of Chebyshev polynomials, III. Sets saturating Szego, Schiefermayr, and Totitk-Widom bounds -- Solvability and complex limit characteristics -- Quantization of Gaussians -- A resonance interaction of seismogravitational modes of tectonic plates -- On positivity preserving, translation invariant, operators in Lp(Rn)m -- The distribution of path lengths on directed weighted graphs -- Diagonalization of indenite saddle point forms -- Solutions of Gross-Pitaevskii equation with periodic potential in dimension two -- The Integral Transform of N.I. Akhiezer -- On Gaussian random matrices coupled to the discrete Laplacian -- Modern results in the spectral analysis for a class of integral-difference operators and application to physical processes -- Inverse problem for integral-difference operators on graphs -- Quantum graph in a magnetic field and resonance states completeness -- On Zd-symmetry of spectra of some nuclear operators -- Spectral monotonicity for Schrodinger operators on metric graphs -- Linear Operators and Operator Functions Associated with Spectral Boundary Value Problem.

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-adjoint Operators. This volume collects research papers originating from two conferences that were organized in memory of Boris Pavlov: "Spectral Theory and 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 as tributes from friends and colleagues.

ISBN: 9783030315313$q(electronic bk.)

Standard No.: 10.1007/978-3-030-31531-3doiSubjects--Topical Terms:

186133
Mathematical analysis.

LC Class. No.: QA300 / .A535 2020

Dewey Class. No.: 515

Analysis as a tool in mathematical physicsin memory of Boris Pavlov /
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505 0 $a 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 selfadjoint operators. Reverse approach -- Generic asymptotics of resonance counting function for Schrodinger point interactions -- Spectral clusters, asymmetric spaces, and boundary control for Schrodinger equation with strong singularities -- The second Weyl coefficient for a first order system -- A Lieb-Thirring type inequality for magnetic Schrodinger operators with a radial symmetry -- Scattering matrices and Weyl functions of quasi boundary triples -- On the spectrum of the quantum Rabi model -- Scattering theory for a class of non-selfadjoint extensions of symmetric operators -- Asymptotics of Chebyshev polynomials, III. Sets saturating Szego, Schiefermayr, and Totitk-Widom bounds -- Solvability and complex limit characteristics -- Quantization of Gaussians -- A resonance interaction of seismogravitational modes of tectonic plates -- On positivity preserving, translation invariant, operators in Lp(Rn)m -- The distribution of path lengths on directed weighted graphs -- Diagonalization of indenite saddle point forms -- Solutions of Gross-Pitaevskii equation with periodic potential in dimension two -- The Integral Transform of N.I. Akhiezer -- On Gaussian random matrices coupled to the discrete Laplacian -- Modern results in the spectral analysis for a class of integral-difference operators and application to physical processes -- Inverse problem for integral-difference operators on graphs -- Quantum graph in a magnetic field and resonance states completeness -- On Zd-symmetry of spectra of some nuclear operators -- Spectral monotonicity for Schrodinger operators on metric graphs -- Linear Operators and Operator Functions Associated with Spectral Boundary Value Problem.
520 $a 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-adjoint Operators. This volume collects research papers originating from two conferences that were organized in memory of Boris Pavlov: "Spectral Theory and 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 as tributes from friends and colleagues.
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