The spectral theory of geometrically periodic hyperbolic 3-manifolds:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Hochschulschrift/Dissertation Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1985
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
335 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000258433&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Volume 58, Number 335 (first of four numbers) |
| Umfang: | IX, 161 S. graph. Darst. |
| ISBN: | 0821823361 |
Internformat
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| 245 | 1 | 0 | |a The spectral theory of geometrically periodic hyperbolic 3-manifolds |c Charles L. Epstein |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1985 | |
| 300 | |a IX, 161 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 335 | |
| 500 | |a Volume 58, Number 335 (first of four numbers) | ||
| 502 | |a Zugl.: New York, Univ., Diss., 1983 | ||
| 650 | 7 | |a Differentiaalmeetkunde |2 gtt | |
| 650 | 7 | |a Spectraaltheorie |2 gtt | |
| 650 | 4 | |a Spectral theory (Mathematics) | |
| 650 | 4 | |a Three-manifolds (Topology) | |
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| 650 | 0 | 7 | |a Spektraltheorie |0 (DE-588)4116561-5 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 990-335/338 |
|---|---|
| DE-BY-TUM_katkey | 1565218 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040006258782 |
| _version_ | 1821933346837495808 |
| adam_text | Table of Contents
Notation vi
1. Preliminaries 1
1.1 Introduction 1
1.2 Holomorphic Families of Operators 12
2. Floquet Theory 17
2.1 An Equivalent Family of Operators 17
2.2 A Second Equivalent Family of Operators 26
3. The Elliptic Case 32
3.1 The Analyticity of the Operators 32
3.2 An Estimate on the Derivatives of the Eigenvalues 35
3.3 A Lower Bound on the Density of the Absolutely
Continuous Spectrum 38
3.4 The Structure of the Spectrum Near Zero 48
4. The Parabolic Case 52
4.1 Introduction 52
4.2 The Analyticity of Lp 55
4.3 Boundary Behavior of L? 64
3
4.4 The Absolutely Continuous Spectrum of A on H /T 82
4.5 The Asymptotic Behavior of ^,(§) Near Zero 88
5. Applications of the Spectral Theory 102
5.1 Introduction 102
2 3
5.2 The L Theory of the Wave Equation in H /V 103
5.3 Lattice Point Asymptotics: The Exact Leading
Order Term 110
5.4 The Explicit Leading Term for £(R) 118
5.5 Asymptotics of the Lengths of Closed Geodesies 126
Appendices
1. Hyperbolic Manifolds and Hyperbolic Isometries 136
2. A Uniform Estimate for Kv(z) 148
3. Derivation of a Selberg Trace Formula 150
References 159
|
| any_adam_object | 1 |
| author | Epstein, Charles L. 1957- |
| author_GND | (DE-588)133727807 |
| author_facet | Epstein, Charles L. 1957- |
| author_role | aut |
| author_sort | Epstein, Charles L. 1957- |
| author_variant | c l e cl cle |
| building | Verbundindex |
| bvnumber | BV000418412 |
| callnumber-first | Q - Science |
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| ctrlnum | (OCoLC)12558213 (DE-599)BVBBV000418412 |
| dewey-full | 514/.7 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology 510 - Mathematics |
| dewey-raw | 514/.7 510 |
| dewey-search | 514/.7 510 |
| dewey-sort | 3514 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV000418412 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T07:20:41Z |
| institution | BVB |
| isbn | 0821823361 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000258433 |
| oclc_num | 12558213 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-739 DE-355 DE-BY-UBR DE-824 DE-19 DE-BY-UBM DE-29T DE-91G DE-BY-TUM DE-11 DE-83 |
| owner_facet | DE-12 DE-384 DE-739 DE-355 DE-BY-UBR DE-824 DE-19 DE-BY-UBM DE-29T DE-91G DE-BY-TUM DE-11 DE-83 |
| physical | IX, 161 S. graph. Darst. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spellingShingle | Epstein, Charles L. 1957- The spectral theory of geometrically periodic hyperbolic 3-manifolds American Mathematical Society: Memoirs of the American Mathematical Society Differentiaalmeetkunde gtt Spectraaltheorie gtt Spectral theory (Mathematics) Three-manifolds (Topology) Mannigfaltigkeit (DE-588)4037379-4 gnd Topologie (DE-588)4060425-1 gnd Dimension 3 (DE-588)4321722-9 gnd Spektraltheorie (DE-588)4116561-5 gnd Laplace-Beltrami-Operator (DE-588)4451064-0 gnd |
| subject_GND | (DE-588)4037379-4 (DE-588)4060425-1 (DE-588)4321722-9 (DE-588)4116561-5 (DE-588)4451064-0 (DE-588)4113937-9 |
| title | The spectral theory of geometrically periodic hyperbolic 3-manifolds |
| title_auth | The spectral theory of geometrically periodic hyperbolic 3-manifolds |
| title_exact_search | The spectral theory of geometrically periodic hyperbolic 3-manifolds |
| title_full | The spectral theory of geometrically periodic hyperbolic 3-manifolds Charles L. Epstein |
| title_fullStr | The spectral theory of geometrically periodic hyperbolic 3-manifolds Charles L. Epstein |
| title_full_unstemmed | The spectral theory of geometrically periodic hyperbolic 3-manifolds Charles L. Epstein |
| title_short | The spectral theory of geometrically periodic hyperbolic 3-manifolds |
| title_sort | the spectral theory of geometrically periodic hyperbolic 3 manifolds |
| topic | Differentiaalmeetkunde gtt Spectraaltheorie gtt Spectral theory (Mathematics) Three-manifolds (Topology) Mannigfaltigkeit (DE-588)4037379-4 gnd Topologie (DE-588)4060425-1 gnd Dimension 3 (DE-588)4321722-9 gnd Spektraltheorie (DE-588)4116561-5 gnd Laplace-Beltrami-Operator (DE-588)4451064-0 gnd |
| topic_facet | Differentiaalmeetkunde Spectraaltheorie Spectral theory (Mathematics) Three-manifolds (Topology) Mannigfaltigkeit Topologie Dimension 3 Spektraltheorie Laplace-Beltrami-Operator Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000258433&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT epsteincharlesl thespectraltheoryofgeometricallyperiodichyperbolic3manifolds |
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