Spectral Theory of Infinite-Area Hyperbolic Surfaces (Record no. 425479)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03897nam a22005535i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9780817646530 |
| -- | 978-0-8176-4653-0 |
| 024 7# - | |
| -- | 10.1007/978-0-8176-4653-0 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA319-329.9 |
| 072 #7 - | |
| -- | PBKF |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT037000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBKF |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.7 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Borthwick, David. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Spectral Theory of Infinite-Area Hyperbolic Surfaces |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by David Borthwick. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Boston, MA : |
| Name of producer, publisher, distributor, manufacturer | Birkhäuser Boston, |
| Date of production, publication, distribution, manufacture | 2007. |
| 300 ## - | |
| -- | XI, 355 p. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | Progress in Mathematics, |
| -- | 0743-1643 ; |
| -- | 256 |
| 505 0# - | |
| -- | 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. |
| 520 ## - | |
| -- | 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 #0 - | |
| -- | Functional analysis. |
| 650 #0 - | |
| -- | Differential equations, partial. |
| 650 #0 - | |
| -- | Functions of complex variables. |
| 650 #0 - | |
| -- | Global differential geometry. |
| 650 #0 - | |
| -- | Mathematical physics. |
| 650 14 - | |
| -- | Functional Analysis. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12066 |
| 650 24 - | |
| -- | Partial Differential Equations. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12155 |
| 650 24 - | |
| -- | Functions of a Complex Variable. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12074 |
| 650 24 - | |
| -- | Differential Geometry. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M21022 |
| 650 24 - | |
| -- | Mathematical Methods in Physics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P19013 |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9780817671341 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9780817645243 |
| 830 #0 - | |
| -- | Progress in Mathematics, |
| -- | 0743-1643 ; |
| -- | 256 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-0-8176-4653-0 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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