Analysis as a Tool in Mathematical Physics

Table of Contents

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   Book Overview
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   Chapter 1 Curriculum Vitae
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   Chapter 2 Pavlov’s Mathematics
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   Chapter 3 Zero-range potentials with internal structure and solvable models
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   Chapter 4 Pavlov’s perturbations
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   Chapter 5 Boris Pavlov and bases, as I remember them
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   Chapter 6 The work of Pavlov on shift operators on a Riemann surface
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   Chapter 7 Singular perturbations of unbounded selfadjoint operators Reverse approach
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   Chapter 8 Generic asymptotics of resonance counting function for Schrödinger point interactions
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    Chapter 9 Spectral clusters, asymmetric spaces, and boundary control for Schrödinger equation with strong singularities
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    Chapter 10 The second Weyl coefficient for a first order system
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    Chapter 11 A Lieb–Thirring type inequality for magnetic Schrödinger operators with a radial symmetry
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    Chapter 12 Scattering matrices and Weyl functions of quasi boundary triples
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    Chapter 13 On the spectrum of the quantum Rabi model
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    Chapter 14 Scattering theory for a class of non-selfadjoint extensions of symmetric operators
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    Chapter 15 Asymptotics of Chebyshev Polynomials, III. Sets Saturating Szegő, Schiefermayr, and Totik–Widom Bounds
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    Chapter 16 Solvability and complex limit bicharacteristics
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    Chapter 17 Quantization of Gaussians
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    Chapter 18 A resonance interaction of seismogravitational modes on tectonic plates
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    Chapter 19 On Positivity Preserving, Translation Invariant Operators in $$ \mathit L^p (\mathbb R^n)^m $$
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    Chapter 20 The Distribution of Path Lengths On Directed Weighted Graphs
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    Chapter 21 Diagonalization of indefinite saddle point forms
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    Chapter 22 Solutions of Gross–Pitaevskii Equation with Periodic Potential in Dimension Two
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    Chapter 23 The Integral Transform of N.I. Akhiezer
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    Chapter 24 On Gaussian random matrices coupled to the discrete Laplacian
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    Chapter 25 Modern results in the spectral analysis for a class of integral-difference operators and application to physical processes
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    Chapter 26 Inverse problem for integral-difference operators on graphs
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    Chapter 27 Breeding of the running spin-waves with standing spin-modes in a quantum well
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    Chapter 28 Quantum graph in a magnetic field and resonance states completeness
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    Chapter 29 On $$ \mathbb Z_d $$ -symmetry of spectra of some nuclear operators
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    Chapter 30 A remark on the order of mixed Dirichlet–Neumann eigenvalues of polygons
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    Chapter 31 Linear Operators and Operator Functions Associated with Spectral Boundary Value Problems