Harmonic analysis on the Heisenberg group:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Birkhäuser
1998
|
| Series: | Progress in mathematics
159 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 185 - 191 |
| Physical Description: | XII, 191 S. |
| ISBN: | 3764340509 0817640509 |
Staff View
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| 245 | 1 | 0 | |a Harmonic analysis on the Heisenberg group |c Sundaram Thangavelu |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 1998 | |
| 300 | |a XII, 191 S. | ||
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| 490 | 1 | |a Progress in mathematics |v 159 | |
| 500 | |a Literaturverz. S. 185 - 191 | ||
| 650 | 4 | |a Analyse harmonique | |
| 650 | 7 | |a Analyse harmonique |2 ram | |
| 650 | 4 | |a Groupes de Lie nilpotents | |
| 650 | 7 | |a Groupes de Lie nilpotents |2 ram | |
| 650 | 4 | |a Harmonic analysis | |
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Record in the Search Index
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| adam_text | Contents
1 THE GROUP FOURIER TRANSFORM 1
1.1 The Heisenberg group 1
1.2 The Schrodinger representations 7
1.3 The Fourier and Weyl transforms 10
1.4 Hermite and special Hermite functions 17
1.5 Paley Wiener theorems for the Fourier transform .... 26
1.6 An uncertainty principle on the Heisenberg group ... 38
1.7 Notes and references 47
2 ANALYSIS OF THE SUBLAPLACIAN 49
2.1 Spectral theory of the sublaplacian 49
2.2 Spectral decomposition for W functions 55
2.3 Restriction theorems for the spectral projections .... 66
2.4 A Paley Wiener theorem for the spectral projections . . 81
2.5 Bochner Riesz means for the sublaplacian 87
2.6 A multiplier theorem for the Fourier transform 98
2.7 Notes and references 107
3 GROUP ALGEBRAS AND APPLICATIONS 109
3.1 The Heisenberg motion group 109
3.2 Gelfand pairs, spherical functions and group algebras . . 117
3.3 An algebra of radial measures 123
3.4 Analogues of Wiener Tauberian theorem 133
3.5 Spherical means on the Heisenberg group 138
3.6 A maximal theorem for spherical means 147
3.7 Notes and references 153
4 THE REDUCED HEISENBERG GROUP 155
4.1 The reduced Heisenberg group 155
xii Contents
4.2 A Wiener Tauberian theorem for LP functions 159
4.3 A maximal theorem for spherical means 164
4.4 Mean periodic functions on phase space 171
4.5 Notes and references 182
INDEX 192
|
| any_adam_object | 1 |
| author | Thangavelu, Sundaram 1957- |
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| dewey-full | 515/.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV012050982 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:20:48Z |
| institution | BVB |
| isbn | 3764340509 0817640509 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008156882 |
| oclc_num | 38073293 |
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| owner_facet | DE-824 DE-384 DE-355 DE-BY-UBR DE-634 DE-11 |
| physical | XII, 191 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spelling | Thangavelu, Sundaram 1957- Verfasser (DE-588)120232383 aut Harmonic analysis on the Heisenberg group Sundaram Thangavelu Boston [u.a.] Birkhäuser 1998 XII, 191 S. txt rdacontent n rdamedia nc rdacarrier Progress in mathematics 159 Literaturverz. S. 185 - 191 Analyse harmonique Analyse harmonique ram Groupes de Lie nilpotents Groupes de Lie nilpotents ram Harmonic analysis Nilpotent Lie groups Heisenberg-Gruppe (DE-588)4314104-3 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Heisenberg-Gruppe (DE-588)4314104-3 s Harmonische Analyse (DE-588)4023453-8 s DE-604 Progress in mathematics 159 (DE-604)BV000004120 159 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008156882&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Thangavelu, Sundaram 1957- Harmonic analysis on the Heisenberg group Progress in mathematics Analyse harmonique Analyse harmonique ram Groupes de Lie nilpotents Groupes de Lie nilpotents ram Harmonic analysis Nilpotent Lie groups Heisenberg-Gruppe (DE-588)4314104-3 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| subject_GND | (DE-588)4314104-3 (DE-588)4023453-8 |
| title | Harmonic analysis on the Heisenberg group |
| title_auth | Harmonic analysis on the Heisenberg group |
| title_exact_search | Harmonic analysis on the Heisenberg group |
| title_full | Harmonic analysis on the Heisenberg group Sundaram Thangavelu |
| title_fullStr | Harmonic analysis on the Heisenberg group Sundaram Thangavelu |
| title_full_unstemmed | Harmonic analysis on the Heisenberg group Sundaram Thangavelu |
| title_short | Harmonic analysis on the Heisenberg group |
| title_sort | harmonic analysis on the heisenberg group |
| topic | Analyse harmonique Analyse harmonique ram Groupes de Lie nilpotents Groupes de Lie nilpotents ram Harmonic analysis Nilpotent Lie groups Heisenberg-Gruppe (DE-588)4314104-3 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| topic_facet | Analyse harmonique Groupes de Lie nilpotents Harmonic analysis Nilpotent Lie groups Heisenberg-Gruppe Harmonische Analyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008156882&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004120 |
| work_keys_str_mv | AT thangavelusundaram harmonicanalysisontheheisenberggroup |