Spectral Theory of Infinite-Area Hyperbolic Surfaces
This book introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of dramatic recent developments in the field. These developments were prompted by advances in geometric scattering theory in the early 1990s which provided new tools for...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2007. |
| سلاسل: | Progress in Mathematics
256 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
L'impression du document génère 354 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Spectral theory of infinite-area hyperbolic surfaces, David Borthwick, Boston, Birkhäuser, 2007, 1 vol. (xi-355 p.), Progress in mathematics, 978-0-8176-4524-3 |
| LEADER | 03893nam a22004457a 4500 | ||
|---|---|---|---|
| 001 | 938878 | ||
| 008 | 080410q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN123147239 | ||
| 020 | |a 9780817646530 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.7 | ||
| 084 | |a 58J50. 2010 | ||
| 084 | |a 47A40. 2010 | ||
| 084 | |a 11F72. 2010 | ||
| 084 | |a 30F35. 2010 | ||
| 100 | 1 | |a Borthwick, David, |c mathématicien. | |
| 245 | 1 | 0 | |a Spectral Theory of Infinite-Area Hyperbolic Surfaces |c David Borthwick. |
| 250 | |a 1st ed. 2007. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Progress in Mathematics |v 256 |x 2296-505X | |
| 500 | |a L'impression du document génère 354 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Hyperbolic Surfaces Compact and Finite-Area Surfaces Spectral Theory for the Hyperbolic Plane Model Resolvents for Cylinders TheResolvent Spectral and Scattering Theory Resonances and Scattering Poles Upper Bound for Resonances Selberg Zeta Function Wave Trace and Poisson Formula Resonance Asymptotics Inverse Spectral Geometry Patterson Sullivan Theory Dynamical Approach to the Zeta Function. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This book introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of dramatic recent developments in the field. These developments were prompted by advances in geometric scattering theory in the early 1990s which provided new tools for the study of resonances. Hyperbolic surfaces provide an ideal context in which to introduce these new ideas, with technical difficulties kept to a minimum. The spectral theory of hyperbolic surfaces is a point of intersection for a great variety of areas, including quantum physics, discrete groups, differential geometry, number theory, complex analysis, spectral theory, and ergodic theory. The book highlights these connections, at a level accessible to graduate students and researchers from a wide range of fields. Topics covered include an introduction to the geometry of hyperbolic surfaces, analysis of the resolvent of the Laplacian, characterization of the spectrum, scattering theory, resonances and scattering poles, the Selberg zeta function, the Poisson formula, distribution of resonances, the inverse scattering problem, Patterson-Sullivan theory, and the dynamical approach to the zeta function. | ||
| 650 | |a Théorie spectrale (mathématiques) | ||
| 650 | |a Géométrie spectrale | ||
| 650 | |a Dispersion (mathématiques) | ||
| 650 | |a Surfaces de Riemann | ||
| 776 | 0 | |0 11905096X |t Spectral theory of infinite-area hyperbolic surfaces |f David Borthwick |c Boston |n Birkhäuser |d 2007 |p 1 vol. (xi-355 p.) |s Progress in mathematics |z 978-0-8176-4524-3 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-0-8176-4653-0 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-85X4SCS3-S |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747888604 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-0-8176-4653-0 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750901632 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-0-8176-4653-0 |z Accès INSA CVL | |
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