Cargando…
Spectral theory and applications /
This book is a collection of lecture notes and survey papers based on the minicourses given by leading experts at the 2016 CRM Summer School on Spectral Theory and Applications, held from July 4-14, 2016, at Université Laval, Québec City, Québec, Canada. The papers contained in the volume cover a...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island : Montreal, Quebec, Canada :
American Mathematical Society ; Centre de Recherches Mathematiques,
[2018]
|
| Colección: | Contemporary mathematics (American Mathematical Society). Centre de recherches mathématiques proceedings ;
v. 720. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_on1076544334 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 181129s2018 riu ob 000 0 eng d | ||
| 040 | |a UAB |b eng |e rda |e pn |c UAB |d OCLCO |d UIU |d OCLCO |d YOU |d EBLCP |d CUY |d YDX |d OCLCQ |d N$T |d OCLCQ |d K6U |d OCLCO |d OCLCQ |d OCLCO |d OCLCL | ||
| 019 | |a 1078933738 |a 1290112666 | ||
| 020 | |a 1470450194 |q (online) | ||
| 020 | |a 9781470450199 |q (electronic bk.) | ||
| 020 | |z 9781470435561 |q (alk. paper) | ||
| 020 | |z 147043556X |q (alk. paper) | ||
| 035 | |a (OCoLC)1076544334 |z (OCoLC)1078933738 |z (OCoLC)1290112666 | ||
| 050 | 4 | |a QC20.7.S64 |b S63945 2018 | |
| 082 | 0 | 4 | |a 515/.7222 |2 23 |
| 084 | |a 8Jxx |a 35Pxx |a 65Nxx |2 msc | ||
| 049 | |a UAMI | ||
| 245 | 0 | 0 | |a Spectral theory and applications / |c Alexandre Girouard, editor. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society ; |a Montreal, Quebec, Canada : |b Centre de Recherches Mathematiques, |c [2018] | |
| 300 | |a 1 online resource (vii, 212 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Contemporary mathematics. Centre de recherches mathématiques proceedings ; |v volume 720 | |
| 500 | |a "CRM Summer School, Spectral Theory and Applications, July 4-14, 2016, Universite Laval, Quebec City, Canada." | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print record version. | |
| 505 | 0 | |a Cover; Title page; Contents; Preface; Fundamentals of spectral theory; Introduction; 1. Normed spaces and operators; 2. Invertible operators; 3. The spectrum; 4. Hilbert spaces; 5. Operators on Hilbert spaces; 6. Compact operators; 7. The spectral theorem; 8. Sturm-Liouville equation; Spectral theory of partial differential equations; 1. Resources, prerequisites and notation; 2. Computable spectra and qualitative properties-Laplacian; 3. Discrete spectral theorem for sesquilinear forms; 4. Variational characterizations of eigenvalues; 5. Application: Discrete spectrum for the Laplacian | |
| 505 | 8 | |a 6. Application: Monotonicity properties of eigenvalues7. Case study: Stability of steady states for reaction-diffusion PDEs; Appendix A. Compact imbeddings of Sobolev space into ²; References; From classical mechanics to quantum mechanics; 1. Classical mechanics; 2. Review of probability and operator theory; 3. Quantum mechanics; 4. Hidden variables and non-locality; References; Numerical methods for spectral theory; 1. Introduction; 2. Finite difference methods; 3. Finite element methods; 4. Solution of matrix eigenvalue problems; 5. Application: Vibrating plates; 6. Further reading | |
| 505 | 8 | |a Acknowledgments7. Exercises; References; Spectral geometry; 1. What makes the Laplacian special?; 2. The Laplacian on a Riemannian manifold; 3. Hearing the geometry of a manifold; 4. Exercises; Quantum graphs via exercises; 1. Basic spectral theory of quantum graphs; 2. Trace formula and periodic orbits; 3. Further topics; Acknowledgments; References; Spectral properties of classical integral operators and geometry; 1. Classical integral operators; 2. Single-layer potentials; 3. Double-layer potentials; Acknowledgments; References; Back Cover | |
| 520 | |a This book is a collection of lecture notes and survey papers based on the minicourses given by leading experts at the 2016 CRM Summer School on Spectral Theory and Applications, held from July 4-14, 2016, at Université Laval, Québec City, Québec, Canada. The papers contained in the volume cover a broad variety of topics in spectral theory, starting from the fundamentals and highlighting its connections to PDEs, geometry, physics, and numerical analysis. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Spectral theory (Mathematics) | |
| 650 | 6 | |a Spectre (Mathématiques) | |
| 650 | 7 | |a Spectral theory (Mathematics) |2 fast | |
| 650 | 7 | |a Partial differential equations |x Spectral theory and eigenvalue problems |x Spectral theory and eigenvalue problems. |2 msc | |
| 650 | 7 | |a Numerical analysis |x Partial differential equations, boundary value problems |x Partial differential equations, boundary value problems. |2 msc | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 700 | 1 | |a Girouard, Alexandre, |d 1976- |e editor. |1 https://id.oclc.org/worldcat/entity/E39PBJmXFKdtwKpbCKjwJmBVmd | |
| 758 | |i has work: |a Spectral theory and applications (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGRfYxjXJWCRM8QqRdFYKb |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |t Spectral theory and applications. |d Providence, Rhode Island : American Mathematical Society ; Montreal, Quebec, Canada : Centre de Recherches Mathematiques, [2018] |z 147043556X |z 9781470435561 |w (DLC) 2018032989 |w (OCoLC)1049577256 |
| 830 | 0 | |a Contemporary mathematics (American Mathematical Society). |p Centre de recherches mathématiques proceedings ; |v v. 720. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5612805 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5612805 | ||
| 938 | |a EBSCOhost |b EBSC |n 1980353 | ||
| 938 | |a YBP Library Services |b YANK |n 15887992 | ||
| 994 | |a 92 |b IZTAP | ||