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Title Analysis as a tool in mathematical physics : in memory of Boris Pavlov / Pavel Kurasov, Ari Laptev, Sergey Naboko, Barry Simon, editors
Published Cham : Birkhäuser, by the registered company Springer Nature Switzerland AG, [2020]
©2020

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Description 1 online resource (xii, 626 pages) : illustrations
Series Operator theory: advances and applications, 2296-4878 ; volume 276
Operator theory, advances and applications ; v. 276. 0255-0156
Contents Part I: Boris Pavlov: life and mathematics. Curriculum vitae -- List of PhD Students -- Publications by Boris Pavlov -- Photographs (private and academic life) -- Water-colours by Boris Pavlov -- Pavlov's mathematics -- Zero-range potentials with internal structure and solvable models -- Pavlov's perturbations -- Boris Pavlov and bases, as I remember them -- The work of Pavlov on shift operators on a Riemann surface -- Part II: Research papers. Singular perturbations of unbounded selfadjoint operators. Reverse approach -- Generic asymptotics of resonance counting function for Schrödinger point interactions -- Spectral clusters, asymmetric spaces, and boundary control for Schrödinger equation with strong singularities -- The second Weyl coefficient for a first order system -- A Lieb-Thirring type inequality for magnetic Schrödinger 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 Szegő, Schiefermayr, and Totik-Widom bounds -- Solvability and complex limit bicharacteristics -- Quantization of Gaussians -- A resonance interaction of seismogravitational modes on tectonic plates -- On positivity preserving, translation invariant operators in Lp(Rn)m -- The distribution of path lengths on directed weighted graphs -- Diagonalization of indefinite 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 -- Breeding of the running spin-waves with standing spin-modes in a quantum well -- Quantum graph in a magnetic field and resonance states completeness -- On Zd-symmetry of spectra of some nuclear operators -- A remark on the order of mixed Dirichlet-Neumann eigenvalues of polygons -- Linear operators and operator functions associated with spectral boundary value problems
Summary "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"--Publisher's description
Bibliography Includes bibliographical references
Notes Online resource; title from resource home page (ProQuest Ebook Central, viewed September 14, 2020)
Subject Mathematical analysis.
Mathematical physics.
Análisis matemático
Física matemática
Mathematical analysis
Mathematical physics
Genre/Form Festschriften
Festschriften.
Form Electronic book
Author Pavlov, B. S. (Boris Sergeevich), honouree.
Kurasov, P., editor.
Laptev, Ari, editor.
Naboko, S. (Sergei), editor.
Simon, Barry, 1946- editor.
Spectral Theory and Applications (Conference) (2016 : Stockholm, Sweden)
Conference on Operator Theory, Analysis and Mathematical Physics (2016 : Saint Petersburg, Russia)
ISBN 9783030315313
3030315312