Elliptic operators and Lie groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford u.a.
Clarendon Press
1991
|
| Series: | Oxford mathematical monographs
Oxford science publicatons |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 558 S. |
| ISBN: | 0198535910 |
Staff View
MARC
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| 245 | 1 | 0 | |a Elliptic operators and Lie groups |c Derek W. Robinson |
| 264 | 1 | |a Oxford u.a. |b Clarendon Press |c 1991 | |
| 300 | |a XI, 558 S. | ||
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Record in the Search Index
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| adam_text | Contents
0 INTRODUCTION 1
1 ELLIPTIC OPERATORS 5
1.1 Introduction 5
1.2 Differential operators—generalities 11
1.3 First order operators 17
1.4 Elliptic operators 21
1.5 Strongly elliptic operators 28
1.6 Unitary representations 50
1.7 Compact groups 65
Notes and remarks 72
II ANALYTIC ELEMENTS 76
II. 1 Introduction 76
11.2 Analytic elements 78
11.3 Fractional powers 90
11.4 Lipschitzrepresentations—regularity 111
11.5 Lipschitz representations—differential structure 124
Notes and remarks 143
III SEMIGROUP KERNELS 148
111.1 Introduction 148
111.2 Existence and analyticity 151
111.3 Nash inequalities 169
111.4 Upper bounds on kernels 181
4a Kernel bounds 181
4b Derivatives of kernels 208
HI.5 Positivity and lower bounds 214
III.6 Miscellani 227
6a Lipschitz spaces 227
6b Resolvent kernels 236
6c Compact groups 246
Notes and remarks 248
x CONTENTS
IV SECOND ORDER OPERATORS 252
IV. 1 Introduction 252
IV.2Upper bounds 255
2a Unimodular groups 256
2b Nilpotent groups 272
2c Derivatives of kernels 275
2d Non unimodular groups 283
IV.3 Ergodic properties 289
IV.4 Subelliptic operators 296
4a Subellipticity and hypoellipticity 296
4b Subelliptic semigroups 301
4c Balls and moduli 318
4d Kernels and upper bounds 323
4e Lower bounds 335
4f Ergodic properties 339
IV. 5 Miscellani 343
5a Hilbert space theory 343
5b Subelliptic Sobolev inequalities 355
5c A priori estimates 369
Notes and remarks 380
V ELLIPTIC OPERATORS WITH VARIABLE COEFFICIENTS 385
V.I Introduction 385
V.2 Strongly elliptic operators 386
2a Regularity properties 390
2b Semigroup generation 410
2c A priori estimates 421
2d Garding s inequality 428
V.3 Semigroup kernels 433
3a Existence 433
3b Upper bounds 441
3c Positivity 445
V.4 First order operators 452
V.5 Second order operators 472
5a Upper bounds 473
5b A priori estimates II 482
5c Derivatives of kernels 487
5d Lower bounds 490
5e Lipschitz coefficients 495
Notes and remarks 507
CONTENTS xi
APPENDICES 509
A FUNCTION SPACES AND INTERPOLATION THEORY 509
A.I Lp spaces 509
A.2 Weak L^ spaces 509
A. 3 hp ^ spaces 510
A.4 Real interpolation theory 513
A. 5 Complex interpolation theory 515
A.6 Interpolation theorems 519
B INEQUALITIES FOR LIE GROUPS 519
B.I Young s inequality 519
B.2 Sobolev embeddings 524
C OPERATOR KERNELS 528
C.I General operators 528
C.2 Lie groups 529
D COMPACTNESS AND THE POINCARE INEQUALITY 533
D.I Compactness 533
D.2 The Poincare inequality 535
REFERENCES 542
Books and monographs 542
Research papers 544
INDEX OF NOTATION 551
Standard notation 551
Special symbols 552
SUBJECT INDEX 555
|
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| id | DE-604.BV005536592 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:31:18Z |
| institution | BVB |
| isbn | 0198535910 |
| language | English |
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| physical | XI, 558 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Clarendon Press |
| record_format | marc |
| series2 | Oxford mathematical monographs Oxford science publicatons |
| spelling | Robinson, Derek W. 1935- Verfasser (DE-588)107889455 aut Elliptic operators and Lie groups Derek W. Robinson Oxford u.a. Clarendon Press 1991 XI, 558 S. txt rdacontent n rdamedia nc rdacarrier Oxford mathematical monographs Oxford science publicatons Lie, Groupes de Opérateurs elliptiques Opérateurs elliptiques ram Elliptic operators Lie groups Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Elliptischer Differentialoperator (DE-588)4140057-4 gnd rswk-swf Elliptischer Differentialoperator (DE-588)4140057-4 s Lie-Gruppe (DE-588)4035695-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003471324&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Robinson, Derek W. 1935- Elliptic operators and Lie groups Lie, Groupes de Opérateurs elliptiques Opérateurs elliptiques ram Elliptic operators Lie groups Lie-Gruppe (DE-588)4035695-4 gnd Elliptischer Differentialoperator (DE-588)4140057-4 gnd |
| subject_GND | (DE-588)4035695-4 (DE-588)4140057-4 |
| title | Elliptic operators and Lie groups |
| title_auth | Elliptic operators and Lie groups |
| title_exact_search | Elliptic operators and Lie groups |
| title_full | Elliptic operators and Lie groups Derek W. Robinson |
| title_fullStr | Elliptic operators and Lie groups Derek W. Robinson |
| title_full_unstemmed | Elliptic operators and Lie groups Derek W. Robinson |
| title_short | Elliptic operators and Lie groups |
| title_sort | elliptic operators and lie groups |
| topic | Lie, Groupes de Opérateurs elliptiques Opérateurs elliptiques ram Elliptic operators Lie groups Lie-Gruppe (DE-588)4035695-4 gnd Elliptischer Differentialoperator (DE-588)4140057-4 gnd |
| topic_facet | Lie, Groupes de Opérateurs elliptiques Elliptic operators Lie groups Lie-Gruppe Elliptischer Differentialoperator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003471324&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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