1 option
Spectral analysis, differential equations, and mathematical physics : a festschrift in honor of Fritz Gesztesy's 60th birthday / Helge Holden, Barry Simon, Gerald Teschl, editors.
- Format:
- Book
- Series:
- Proceedings of symposia in pure mathematics ; Volume 87.
- Proceedings of Symposia in Pure Mathematics ; Volume 87
- Language:
- English
- Subjects (All):
- Differential equations.
- Mathematical physics.
- Physical Description:
- 1 online resource (407 p.)
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, 2013.
- Language Note:
- English
- Summary:
- 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; Sturm-Liouville, Jacobi, and CMV operators; semigroups; to inverse problems.
- Contents:
- ""Preface""; ""A mathematical descendants list""; ""Publications of Friedrich (Fritz) Gesztesy¹""; ""Invariant measures for stochastic differential equations on networks""; ""1. Introduction""; ""2. Setting of the problem""; ""3. The abstract reformulation""; ""4. Preliminary results""; ""5. A priori estimates. Existence and uniqueness""; ""6. The stationary process""; ""7. Density of the invariant measure""; ""Acknowledgments""; ""References""; ""On the spectra of large sparse graphs with cycles""; ""1. Introduction""; ""2. Ensembles of graphs""
- ""3. Spectral analysis of undirected graphs with cycles""""4. Spectral analysis of directed graphs with cycles""; ""5. Conclusion""; ""Acknowledgments""; ""Appendix A. Cavity method applied to random matrices""; ""References""; ""Jones� extension operator on Sobolev spaces with partially vanishing traces""; ""1. Motivation""; ""2. Main results""; ""References""; ""Some spectral properties of Rooms and Passages domains and their skeletons""; ""1. Introduction""; ""2. Rooms & Passages domains""; ""3. Eigenvalue asymptotics of the Dirichlet and Neumann Laplacians""
- ""4. A related problem on the skeleton""""5. A Sturm-Liouville operator""; ""References""; ""Finite gap Jacobi matrices: A review""; ""1. Introduction""; ""2. The Zero Gap Case""; ""3. The Isospectral Torus""; ""4. Results in the Finite Gap Case""; ""5. Methods""; ""Acknowledgements""; ""References""; ""Momentum operators on graphs""; ""1. Introduction""; ""2. Preliminaries""; ""3. Balanced orientability""; ""4. Momentum operators""; ""5. Momentum operator spectra: finite graphs""; ""6. Momentum operator spectra: infinite graphs""; ""7. Groups associated with momentum operators""
- ""8. A two-loop example""""References""; ""Asymptotic parabolicity for strongly damped wave equations""; ""1. Introduction""; ""2. Selfadjoint and normal operators""; ""3. The main result""; ""4. Examples""; ""References""; ""On rates in Euler�s formula for �-semigroups""; ""1. Introduction""; ""2. Preliminaries and notations""; ""3. Functional calculus""; ""4. Generalized Stieltjes functions""; ""5. Main results""; ""6. Optimality of rates""; ""7. Appendix""; ""References""; ""Construction of a Noncommutative Quantum Field Theory""; ""1. Introduction""; ""2. Matrix Model""
- ""3. Ward Identity""""4. Schwinger-Dyson equation""; ""5. Renormalization""; ""6. Nonperturbative Construction of this model""; ""7. Four-point Schwinger-Dyson equation""; ""8. Conclusions""; ""9. Acknowledgment""; ""References""; ""Periodic conservative solutions for the two-component Camassa�Holm system""; ""1. Introduction""; ""2. Eulerian and Lagrangian variables""; ""3. Lipschitz metric""; ""4. Global weak solutions""; ""References""; ""A Minimal Uncertainty Product for One Dimensional Semiclassical Wave Packets""; ""1. Introduction""; ""2. Observations about the Angle of Rotation""
- ""3. Preliminary Comments about Uncertainty Products""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references at the end of each chapters.
- Description based on print version record.
- ISBN:
- 1-4704-0946-1
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.