Hyperbolic geometry and applications in quantum chaos and cosmology:
Hyperbolic geometry is a classical subject in pure mathematics which has exciting applications in theoretical physics. In this book leading experts introduce hyperbolic geometry and Maass waveforms and discuss applications in quantum chaos and cosmology. The book begins with an introductory chapter...
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| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2012
|
| Schriftenreihe: | London Mathematical Society lecture note series
397 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | Hyperbolic geometry is a classical subject in pure mathematics which has exciting applications in theoretical physics. In this book leading experts introduce hyperbolic geometry and Maass waveforms and discuss applications in quantum chaos and cosmology. The book begins with an introductory chapter detailing the geometry of hyperbolic surfaces and includes numerous worked examples and exercises to give the reader a solid foundation for the rest of the book. In later chapters the classical version of Selberg's trace formula is derived in detail and transfer operators are developed as tools in the spectral theory of Laplace–Beltrami operators on modular surfaces. The computation of Maass waveforms and associated eigenvalues of the hyperbolic Laplacian on hyperbolic manifolds are also presented in a comprehensive way. This book will be valuable to graduate students and young researchers, as well as for those experienced scientists who want a detailed exposition of the subject |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xi, 272 pages) |
| ISBN: | 9781139108782 |
| DOI: | 10.1017/CBO9781139108782 |
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| 520 | |a Hyperbolic geometry is a classical subject in pure mathematics which has exciting applications in theoretical physics. In this book leading experts introduce hyperbolic geometry and Maass waveforms and discuss applications in quantum chaos and cosmology. The book begins with an introductory chapter detailing the geometry of hyperbolic surfaces and includes numerous worked examples and exercises to give the reader a solid foundation for the rest of the book. In later chapters the classical version of Selberg's trace formula is derived in detail and transfer operators are developed as tools in the spectral theory of Laplace–Beltrami operators on modular surfaces. The computation of Maass waveforms and associated eigenvalues of the hyperbolic Laplacian on hyperbolic manifolds are also presented in a comprehensive way. This book will be valuable to graduate students and young researchers, as well as for those experienced scientists who want a detailed exposition of the subject | ||
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Datensatz im Suchindex
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| author2 | Bölte, JensXX4edt Steiner, F. 1943-XX4edt |
| author2_role | edt edt |
| author2_variant | j b jb f s fs |
| author_facet | Bölte, JensXX4edt Steiner, F. 1943-XX4edt |
| building | Verbundindex |
| bvnumber | BV043941337 |
| classification_rvk | SI 320 |
| collection | ZDB-20-CBO |
| contents | Hyperbolic geometry / Aline Aigon-Dupuy, Peter Buser, Klaus-Dieter Semmler -- Selberg's trace formula : an introduction / Jens Marklof -- Semiclassical apporach to spectral correlation functions / Martin Sieber -- Transfer operators, the Selberg Zeta function and the Lewis-Zagier theory of period functions / Dieter H. Mayer -- On the calculation of Maass cusp forms / Dennis A. Hejhal -- Maass waveforms on [formula] (computational aspects) / Fredrick Strömberg -- Numerical computation of Maass waveforms and an application to cosmology / Ralf Aurich, Frank Steiner, Holger Then |
| ctrlnum | (ZDB-20-CBO)CR9781139108782 (OCoLC)967696843 (DE-599)BVBBV043941337 |
| dewey-full | 516.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.9 |
| dewey-search | 516.9 |
| dewey-sort | 3516.9 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139108782 |
| format | Electronic eBook |
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| id | DE-604.BV043941337 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:15Z |
| institution | BVB |
| isbn | 9781139108782 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350308 |
| oclc_num | 967696843 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xi, 272 pages) |
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| publishDate | 2012 |
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| publisher | Cambridge University Press |
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| series2 | London Mathematical Society lecture note series |
| spelling | Hyperbolic geometry and applications in quantum chaos and cosmology edited by Jens Bolte, Frank Steiner Hyperbolic Geometry & Applications in Quantum Chaos & Cosmology Cambridge Cambridge University Press 2012 1 online resource (xi, 272 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 397 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Hyperbolic geometry / Aline Aigon-Dupuy, Peter Buser, Klaus-Dieter Semmler -- Selberg's trace formula : an introduction / Jens Marklof -- Semiclassical apporach to spectral correlation functions / Martin Sieber -- Transfer operators, the Selberg Zeta function and the Lewis-Zagier theory of period functions / Dieter H. Mayer -- On the calculation of Maass cusp forms / Dennis A. Hejhal -- Maass waveforms on [formula] (computational aspects) / Fredrick Strömberg -- Numerical computation of Maass waveforms and an application to cosmology / Ralf Aurich, Frank Steiner, Holger Then Hyperbolic geometry is a classical subject in pure mathematics which has exciting applications in theoretical physics. In this book leading experts introduce hyperbolic geometry and Maass waveforms and discuss applications in quantum chaos and cosmology. The book begins with an introductory chapter detailing the geometry of hyperbolic surfaces and includes numerous worked examples and exercises to give the reader a solid foundation for the rest of the book. In later chapters the classical version of Selberg's trace formula is derived in detail and transfer operators are developed as tools in the spectral theory of Laplace–Beltrami operators on modular surfaces. The computation of Maass waveforms and associated eigenvalues of the hyperbolic Laplacian on hyperbolic manifolds are also presented in a comprehensive way. This book will be valuable to graduate students and young researchers, as well as for those experienced scientists who want a detailed exposition of the subject Geometry, Hyperbolic Cosmology Quantum chaos Kosmologie (DE-588)4114294-9 gnd rswk-swf Quantenchaos (DE-588)4130849-9 gnd rswk-swf Hyperbolische Geometrie (DE-588)4161041-6 gnd rswk-swf Hyperbolische Geometrie (DE-588)4161041-6 s Quantenchaos (DE-588)4130849-9 s Kosmologie (DE-588)4114294-9 s 1\p DE-604 Bölte, JensXX4edt edt Steiner, F. 1943-XX4edt edt Erscheint auch als Druckausgabe 978-1-107-61049-1 https://doi.org/10.1017/CBO9781139108782 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hyperbolic geometry and applications in quantum chaos and cosmology Hyperbolic geometry / Aline Aigon-Dupuy, Peter Buser, Klaus-Dieter Semmler -- Selberg's trace formula : an introduction / Jens Marklof -- Semiclassical apporach to spectral correlation functions / Martin Sieber -- Transfer operators, the Selberg Zeta function and the Lewis-Zagier theory of period functions / Dieter H. Mayer -- On the calculation of Maass cusp forms / Dennis A. Hejhal -- Maass waveforms on [formula] (computational aspects) / Fredrick Strömberg -- Numerical computation of Maass waveforms and an application to cosmology / Ralf Aurich, Frank Steiner, Holger Then Geometry, Hyperbolic Cosmology Quantum chaos Kosmologie (DE-588)4114294-9 gnd Quantenchaos (DE-588)4130849-9 gnd Hyperbolische Geometrie (DE-588)4161041-6 gnd |
| subject_GND | (DE-588)4114294-9 (DE-588)4130849-9 (DE-588)4161041-6 |
| title | Hyperbolic geometry and applications in quantum chaos and cosmology |
| title_alt | Hyperbolic Geometry & Applications in Quantum Chaos & Cosmology |
| title_auth | Hyperbolic geometry and applications in quantum chaos and cosmology |
| title_exact_search | Hyperbolic geometry and applications in quantum chaos and cosmology |
| title_full | Hyperbolic geometry and applications in quantum chaos and cosmology edited by Jens Bolte, Frank Steiner |
| title_fullStr | Hyperbolic geometry and applications in quantum chaos and cosmology edited by Jens Bolte, Frank Steiner |
| title_full_unstemmed | Hyperbolic geometry and applications in quantum chaos and cosmology edited by Jens Bolte, Frank Steiner |
| title_short | Hyperbolic geometry and applications in quantum chaos and cosmology |
| title_sort | hyperbolic geometry and applications in quantum chaos and cosmology |
| topic | Geometry, Hyperbolic Cosmology Quantum chaos Kosmologie (DE-588)4114294-9 gnd Quantenchaos (DE-588)4130849-9 gnd Hyperbolische Geometrie (DE-588)4161041-6 gnd |
| topic_facet | Geometry, Hyperbolic Cosmology Quantum chaos Kosmologie Quantenchaos Hyperbolische Geometrie |
| url | https://doi.org/10.1017/CBO9781139108782 |
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