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Hardcover ISBN:  9780821875742 
Product Code:  PSPUM/87 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9781470409463 
Product Code:  PSPUM/87.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Hardcover ISBN:  9780821875742 
eBook ISBN:  9781470409463 
Product Code:  PSPUM/87.B 
List Price:  $274.00 $206.50 
MAA Member Price:  $246.60 $185.85 
AMS Member Price:  $219.20 $165.20 

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