Sub-laplacians with drift on Lie groups of polynomial volume growth:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
AMS
2002
|
| Series: | Memoirs of the American Mathematical Society
739 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 155, number 739 (end of volume)." |
| Physical Description: | IX, 101 S. |
| ISBN: | 0821827642 |
Staff View
MARC
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| 245 | 1 | 0 | |a Sub-laplacians with drift on Lie groups of polynomial volume growth |c Georgios K. Alexopoulos |
| 264 | 1 | |a Providence, RI |b AMS |c 2002 | |
| 300 | |a IX, 101 S. | ||
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Record in the Search Index
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| adam_text | Contents
Abstract ix
1. Introduction and statement of the results 1
2. The control distance and the local Harnack inequality 21
3. The proof of the Harnack inequality from Varopoulos s theorem and
propositions 1.6.3 and 1.6.4 23
4. Holder continuity 38
5. Nilpotent Lie groups 38
6. Sub Laplacians on nilpotent Lie groups 41
7. A function which grows linearly 44
8. Proof of propositions 1.6.3 and 1.6.4 in the case of nilpotent Lie groups 45
9. Proof of the Gaussian estimate in the case of nilpotent Lie groups 48
10. Polynomials on nilpotent Lie groups 53
11. A Taylor formula for the heat functions on nilpotent Lie groups 54
12. Harnack inequalities for the derivatives of the heat functions on nilpotent
Lie groups 61
13. Harmonic functions of polynomial growth on nilpotent Lie groups 61
14. Proof of the Berry Esseen estimate in the case of nilpotent Lie groups 62
15. The nil shadow of a simply connected solvable Lie group 64
16. Connected Lie groups of polynomial volume growth 66
17. Proof of propositions 1.6.3 and 1.6.4 in the general case 73
18. Proof of the Gaussian estimate in the general case 77
19. A Berry Esseen estimate for the heat kernels on connected Lie groups of
polynomial volume growth 80
20. Polynomials on connected Lie groups of polynomial growth 84
vii
viii CONTENTS
21. A Taylor formula for the heat functions on connected Lie groups of
polynomial volume growth 86
22. Harnack inequalities for the derivatives of the heat functions 92
23. Harmonic functions of polynomial growth 93
24. Berry Esseen type of estimates for the derivatives of the heat kernel 95
25. Riesz transforms 96
Bibliography 99
|
| any_adam_object | 1 |
| author | Alexopoulos, Georgios K. 1962- |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 130 |
| classification_tum | MAT 460f MAT 225f |
| ctrlnum | (OCoLC)47825742 (DE-599)BVBBV014196984 |
| dewey-full | 510 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 512 - Algebra |
| dewey-raw | 510 512/.55 |
| dewey-search | 510 512/.55 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014196984 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:59:24Z |
| institution | BVB |
| isbn | 0821827642 |
| language | English |
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| physical | IX, 101 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | AMS |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Alexopoulos, Georgios K. 1962- Verfasser (DE-588)173521053 aut Sub-laplacians with drift on Lie groups of polynomial volume growth Georgios K. Alexopoulos Providence, RI AMS 2002 IX, 101 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 739 "Volume 155, number 739 (end of volume)." Functionaalanalyse gtt Lie-groepen gtt Functional analysis Lie groups Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 s Funktionalanalysis (DE-588)4018916-8 s DE-604 Memoirs of the American Mathematical Society 739 (DE-604)BV008000141 739 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009731756&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Alexopoulos, Georgios K. 1962- Sub-laplacians with drift on Lie groups of polynomial volume growth Memoirs of the American Mathematical Society Functionaalanalyse gtt Lie-groepen gtt Functional analysis Lie groups Lie-Gruppe (DE-588)4035695-4 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4035695-4 (DE-588)4018916-8 |
| title | Sub-laplacians with drift on Lie groups of polynomial volume growth |
| title_auth | Sub-laplacians with drift on Lie groups of polynomial volume growth |
| title_exact_search | Sub-laplacians with drift on Lie groups of polynomial volume growth |
| title_full | Sub-laplacians with drift on Lie groups of polynomial volume growth Georgios K. Alexopoulos |
| title_fullStr | Sub-laplacians with drift on Lie groups of polynomial volume growth Georgios K. Alexopoulos |
| title_full_unstemmed | Sub-laplacians with drift on Lie groups of polynomial volume growth Georgios K. Alexopoulos |
| title_short | Sub-laplacians with drift on Lie groups of polynomial volume growth |
| title_sort | sub laplacians with drift on lie groups of polynomial volume growth |
| topic | Functionaalanalyse gtt Lie-groepen gtt Functional analysis Lie groups Lie-Gruppe (DE-588)4035695-4 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Functionaalanalyse Lie-groepen Functional analysis Lie groups Lie-Gruppe Funktionalanalysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009731756&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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