Spectral analysis, differential equations, and mathematical physics : a festschrift in honor of Fritz Gesztesy's 60th birthday /

This volume contains twenty contributions in the area of mathematical physics where Fritz Gesztesy made profound contributions. There are three survey papers in spectral theory, differential equations, and mathematical physics, which highlight, in particular, certain aspects of Gesztesy's work....

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Bibliographic Details
Other Authors:	Gesztesy, Fritz, 1953- (honouree.), Holden, H. (Helge), 1956- (Editor), Simon, Barry, 1946- (Editor), Teschl, Gerald, 1970- (Editor)
Format:	Book
Language:	English
Published:	Providence, Rhode Island : American Mathematical Society, [2013]
Series:	Proceedings of symposia in pure mathematics ; v. 87.
Subjects:	Differential equations. Mathematical physics. Ordinary differential equations > Dynamic equations on time scales or measure chains > Dynamic equations on time scales or measure chains. Ordinary differential equations > Ordinary differential operators > General spectral theory. Partial differential equations > Spectral theory and eigenvalue problems > General topics in linear spectral theory. Partial differential equations > Hyperbolic equations and systems > Initial value problems for first-order hyperbolic systems. Functional analysis > Linear function spaces and their duals > Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems. Operator theory > General theory of linear operators > General (adjoints, conjugates, products, inverses, domains, ranges, etc.) Operator theory > Special classes of linear operators > Jacobi (tridiagonal) operators (matrices) and generalizations. Quantum theory > Quantum field theory; related classical field theories > Constructive quantum field theory. Quantum theory > General mathematical topics and methods in quantum theory > Selfadjoint operator theory in quantum theory, including spectral analysis. Systems theory; control > Stochastic systems and control > Stochastic systems, general.

Table of Contents:

Preface
A mathematical descendants list
Publications of Friedrich (ritz) Gesztesy
Invariant measures for stochastic differential equations on networks / Sergio Albeverio, Luca di Persio, and Elisa Mastrogiacomo
On the spectra of large sparse graphs with cycles / D. Bollé, F.L. Metz, and I. Neri
Jones' extension operator on Sobolev spaces with partially vanishing traces / Kevin Brewster, Dorina Mitrea, Irina Mitrea, and Marius Mitrea
Some spectral properties of rooms and passages domains and their skeletons / B.M. Brown, W.D. Evans, and I.G. Wood
Finite gap Jacobi matrices : a review / Jacob S. Christiansen, Barry Simon, and Maxim Zinchenko
Momentum operators on graphs / Pavel Exner
Asymptotic parabolicity for strongly damped wave equations / Genni Fragnelli, Giséle Ruize Goldstein, Jerome A. Goldstein, and Silvia Romanelli
On rates in Euler's formula for C₀-semigroups / Alexander Gomilgo and Yuri Tomilov
Construction of a noncommutative quantum field theory / Harald Grosse and Raimar Wulkenhaar
Periodic conservative solutions for the low-component Camassa-Holm system / Katrin Grunert, Helge Holden, and Xavier Raynaud
A minimal uncertainty product for one dimensional semiclassical wave packets / George A. Hagedorn
On a transformation of Bohl and its discrete analogue / Evans M. Harrell II and Manwah Lilian Wong
The Morse and Maslov indices for matrix Hill's equations / Christopher K.R.T. Jones, Yuri Latushkin, and Robert Marangell
1-D Schrödinger operators with local point interactions : review / Aleksey Kostenko and Mark Malamud
Inverse problem for small oscillations / Yu. I. Lyubarskii and V.A. Marchenko
On the Weyl-Titchmarsh and Livšic functions / K.A. Makarov and E. Tsekanovskiĭ
Stability for the inverse resonance problems for the CMV operator / Roman Shterenberg, Rudi Weikard, and Maxim Zinchenko
On a conjecture of A. Bikchentaev / F.A. Sukochev
Spectral theory as influenced by Fritz Gesztesy / Gerald Teschl and Karl Unterkofler
Prescribed asymptotic behavior for nonlinear second-order dynamic equations / Mehmet Ünal and Aǧacik Zafer.