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Product Code:  PSPUM/87 
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Electronic ISBN:  9781470409463 
Product Code:  PSPUM/87.E 
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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 87; 2013; 376 ppMSC: Primary 34; 35; 46; 47; 81; 93;
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. The remaining seventeen papers contain original research results in diverse areas reflecting his interests. The topics of these papers range from stochastic differential equations; operators on graphs; elliptic partial differential equations; SturmLiouville, Jacobi, and CMV operators; semigroups; to inverse problems.ReadershipGraduate students and research mathematicians interested in spectral theory and mathematical physics.

Table of Contents

Articles

Sergio Albeverio, Luca Di Persio and Elisa Mastrogiacomo  Invariant measures for stochastic differential equations on networks

D. Bollé, F. L. Metz and I. Neri  On the spectra of large sparse graphs with cycles

Kevin Brewster, Dorina Mitrea, Irina Mitrea and Marius Mitrea  Jones’ extension operator on Sobolev spaces with partially vanishing traces

B. M. Brown, W. D. Evans and I. G. Wood  Some spectral properties of Rooms and Passages domains and their skeletons

Jacob S. Christiansen, Barry Simon and Maxim Zinchenko  Finite gap Jacobi matrices: A review

Pavel Exner  Momentum operators on graphs

Genni Fragnelli, Gisèle Ruiz Goldstein, Jerome A. Goldstein and Silvia Romanelli  Asymptotic parabolicity for strongly damped wave equations

Alexander Gomilko and Yuri Tomilov  On rates in Euler’s formula for $C_0$semigroups

Harald Grosse and Raimar Wulkenhaar  Construction of a Noncommutative Quantum Field Theory

Katrin Grunert, Helge Holden and Xavier Raynaud  Periodic conservative solutions for the twocomponent Camassa–Holm system

George A. Hagedorn  A Minimal Uncertainty Product for One Dimensional Semiclassical Wave Packets

Evans M. Harrell II and Manwah Lilian Wong  On a transformation of Bohl and its discrete analogue

Christopher K. R. T. Jones, Yuri Latushkin and Robert Marangell  The Morse and Maslov indices for matrix Hill’s equations

Aleksey Kostenko and Mark Malamud  1–D Schrödinger operators with local point interactions: a review

Yu. I. Lyubarskii and V. A. Marchenko  Inverse problem for small oscillations

K. A. Makarov and E. Tsekanovskiĭ  On the WeylTitchmarsh and Livšic functions

Roman Shterenberg, Rudi Weikard and Maxim Zinchenko  Stability for the inverse resonance problem for the CMV operator

F. A. Sukochev  On a conjecture of A. Bikchentaev

Gerald Teschl and Karl Unterkofler  Spectral theory as influenced by Fritz Gesztesy

Mehmet Ünal and Aǧacık Zafer  Prescribed Asymptotic Behavior for Nonlinear SecondOrder Dynamic Equations


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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. The remaining seventeen papers contain original research results in diverse areas reflecting his interests. The topics of these papers range from stochastic differential equations; operators on graphs; elliptic partial differential equations; SturmLiouville, Jacobi, and CMV operators; semigroups; to inverse problems.
Graduate students and research mathematicians interested in spectral theory and mathematical physics.

Articles

Sergio Albeverio, Luca Di Persio and Elisa Mastrogiacomo  Invariant measures for stochastic differential equations on networks

D. Bollé, F. L. Metz and I. Neri  On the spectra of large sparse graphs with cycles

Kevin Brewster, Dorina Mitrea, Irina Mitrea and Marius Mitrea  Jones’ extension operator on Sobolev spaces with partially vanishing traces

B. M. Brown, W. D. Evans and I. G. Wood  Some spectral properties of Rooms and Passages domains and their skeletons

Jacob S. Christiansen, Barry Simon and Maxim Zinchenko  Finite gap Jacobi matrices: A review

Pavel Exner  Momentum operators on graphs

Genni Fragnelli, Gisèle Ruiz Goldstein, Jerome A. Goldstein and Silvia Romanelli  Asymptotic parabolicity for strongly damped wave equations

Alexander Gomilko and Yuri Tomilov  On rates in Euler’s formula for $C_0$semigroups

Harald Grosse and Raimar Wulkenhaar  Construction of a Noncommutative Quantum Field Theory

Katrin Grunert, Helge Holden and Xavier Raynaud  Periodic conservative solutions for the twocomponent Camassa–Holm system

George A. Hagedorn  A Minimal Uncertainty Product for One Dimensional Semiclassical Wave Packets

Evans M. Harrell II and Manwah Lilian Wong  On a transformation of Bohl and its discrete analogue

Christopher K. R. T. Jones, Yuri Latushkin and Robert Marangell  The Morse and Maslov indices for matrix Hill’s equations

Aleksey Kostenko and Mark Malamud  1–D Schrödinger operators with local point interactions: a review

Yu. I. Lyubarskii and V. A. Marchenko  Inverse problem for small oscillations

K. A. Makarov and E. Tsekanovskiĭ  On the WeylTitchmarsh and Livšic functions

Roman Shterenberg, Rudi Weikard and Maxim Zinchenko  Stability for the inverse resonance problem for the CMV operator

F. A. Sukochev  On a conjecture of A. Bikchentaev

Gerald Teschl and Karl Unterkofler  Spectral theory as influenced by Fritz Gesztesy

Mehmet Ünal and Aǧacık Zafer  Prescribed Asymptotic Behavior for Nonlinear SecondOrder Dynamic Equations