The d-bar-Neumann problem and Schrödinger operators:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
De Gruyter
2014
|
| Schriftenreihe: | De Gruyter expositions in mathematics
59 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XI, 241 S. 240 mm x 170 mm |
| ISBN: | 3110315300 9783110315301 9783110315363 |
Internformat
MARC
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| 245 | 1 | 0 | |a The d-bar-Neumann problem and Schrödinger operators |c Friedrich Haslinger |
| 246 | 1 | 3 | |a The dbar-Neumann problem and Schrödinger operators |
| 263 | |a 201407 | ||
| 264 | 1 | |a Berlin [u.a.] |b De Gruyter |c 2014 | |
| 300 | |a XI, 241 S. |c 240 mm x 170 mm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a De Gruyter expositions in mathematics |v 59 | |
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| 650 | 0 | 7 | |a Cauchy-Riemannsche Differentialgleichungen |0 (DE-588)4147397-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hankel-Operator |0 (DE-588)4314042-7 |2 gnd |9 rswk-swf |
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| 689 | 0 | 2 | |a Hankel-Operator |0 (DE-588)4314042-7 |D s |
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Datensatz im Suchindex
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| adam_text |
CONTENTS
PREFACE
VII
I BERGMAN SPACES 1
II ELEMENTARY PROPERTIES 1
1 2 EXAMPLES 8
13 BIHOLOMORPHIC MAPS 12
14 NOTES 15
2 THE CANONICAL SOLUTION OPERATOR TO D 16
2 1 COMPACT OPERATORS ON HILBERT SPACES 16
2 2 THE CANONICAL SOLUTION OPERATOR TO D RESTRICTED TO
A
2
(D)
2 3 NOTES 35
3 SPECTRAL PROPERTIES OF THE CANONICAL SOLUTION OPERATOR TO D-
3 1 COMPLEX DIFFERENTIAL FORMS 36
3 2 (0, L)-FORMS WITH HOLOMORPHIC COEFFICIENTS 37
3 3 COMPACTNESS AND SCHATTEN CLASS MEMBERSHIP 39
3.4 NOTES 49
4 THE 3-COMPLEX 50
4 1 UNBOUNDED OPERATORS ON HILBERT SPACES 50
4 2 DISTRIBUTIONS 65
4 3 A FINITE-DIMENSIONAL ANALOG 71
4 4 THE
3-NEUMANN OPERATOR 72
4 5 NOTES 86
5 DENSITY OF SMOOTH FORMS 87
5.1 FRIEDRICHS' LEMMA AND SOBOLEV SPACES 87
5 2 DENSITY IN THE GRAPH NORM 98
5 3 NOTES 103
6 THE WEIGHTED
D
-COMPLEX 104
6 1 THE
3-NEUMANN OPERATOR ON (0, L)-FORMS 104
6 2 (O.Q)-FORMS 109
6 3 NOTES 112
7 THE TWISTED
D
-COMPLEX 114
7 1 AN EXACT SEQUENCE OF UNBOUNDED OPERATORS 114
7 2 THE TWISTED BASIC ESTIMATES 115
7 3 NOTES 118
HTTP://D-NB.INFO/1043777660
X CONTENTS
8 APPLICATIONS 119
8 1 HORMANDER'SL
2
-ESTIMATES 119
8 2 WEIGHTED SPACES OF ENTIRE FUNCTIONS 122
8 3 NOTES 126
9 SPECTRAL ANALYSIS 127
9 1 RESOLUTIONS OF THE IDENTITY 127
9 2 SPECTRAL DECOMPOSITION OF BOUNDED NORMAL OPERATORS 130
9 3 SPECTRAL DECOMPOSITION OF UNBOUNDED SELF-ADJOINT OPERATORS 136
9 4 DETERMINATION OF THE SPECTRUM 150
9 5 VARIATIONAL CHARACTERIZATION OF THE DISCRETE SPECTRUM 160
9 6 NOTES 165
10 SCHRODINGER OPERATORS AND WITTEN-LAPLACIANS 166
10 1 DIFFERENCE QUOTIENTS 166
10 2 INTERIOR REGULARITY 168
10 3 SCHRODINGER OPERATORS WITH MAGNETIC FIELD 171
10 4 WITTEN-LAPLACIANS 178
10 5 DIRAC AND PAULI OPERATORS 180
10 6 NOTES 182
11 COMPACTNESS 183
11 1 PRECOMPACTSETS IN L
2
-SPACES 183
11 2 SOBOLEV SPACES AND GSRDING'S INEQUALITY 186
11 3 COMPACTNESS IN WEIGHTED SPACES 190
11 4 BOUNDED PSEUDOCONVEX DOMAINS 202
115 NOTES 205
12 THE D-NEUMANN OPERATOR AND THE BERGMAN PROJECTION 207
12 1 THE
STONE-WEIERSTRAFI THEOREM 207
12 2 COMMUTATORS OF THE BERGMAN PROJECTION 210
12 3 NOTES 215
13 COM
PACT RESOLVENTS 216
13 1 SCHRODINGER OPERATORS 216
13 2 DIRAC AND PAULI OPERATORS 218
13 3 NOTES 220
14 SPECTRUM OF * ON THE FOCK SPACE 221
14 1 THE GENERAL SETTING 221
14 2 DETERMINATION OF THE SPECTRUM 223
14 3 NOTES 228
CONTENTS * XI
15 OBSTRUCTIONS TO COMPACTNESS 229
15 1 THE BIDISC 229
15 2 WEIGHTED SPACES 230
15 3 NOTES 234
BIBLIOGRAPHY 235
INDEX 239 |
| any_adam_object | 1 |
| author | Haslinger, Friedrich |
| author_GND | (DE-588)1053550928 |
| author_facet | Haslinger, Friedrich |
| author_role | aut |
| author_sort | Haslinger, Friedrich |
| author_variant | f h fh |
| building | Verbundindex |
| bvnumber | BV041953266 |
| classification_rvk | SK 620 SK 700 |
| ctrlnum | (OCoLC)881822623 (DE-599)DNB1043777660 |
| dewey-full | 515.94 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.94 |
| dewey-search | 515.94 |
| dewey-sort | 3515.94 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV041953266 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-03T01:37:13Z |
| institution | BVB |
| isbn | 3110315300 9783110315301 9783110315363 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027396190 |
| oclc_num | 881822623 |
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| owner | DE-19 DE-BY-UBM DE-11 |
| owner_facet | DE-19 DE-BY-UBM DE-11 |
| physical | XI, 241 S. 240 mm x 170 mm |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | De Gruyter |
| record_format | marc |
| series | De Gruyter expositions in mathematics |
| series2 | De Gruyter expositions in mathematics |
| spelling | Haslinger, Friedrich Verfasser (DE-588)1053550928 aut The d-bar-Neumann problem and Schrödinger operators Friedrich Haslinger The dbar-Neumann problem and Schrödinger operators 201407 Berlin [u.a.] De Gruyter 2014 XI, 241 S. 240 mm x 170 mm txt rdacontent n rdamedia nc rdacarrier De Gruyter expositions in mathematics 59 Kompaktheit (DE-588)4456100-3 gnd rswk-swf Neumann-Problem (DE-588)4171566-4 gnd rswk-swf Cauchy-Riemannsche Differentialgleichungen (DE-588)4147397-8 gnd rswk-swf Hankel-Operator (DE-588)4314042-7 gnd rswk-swf Hamilton-Operator (DE-588)4072278-8 gnd rswk-swf Cauchy-Riemannsche Differentialgleichungen (DE-588)4147397-8 s Neumann-Problem (DE-588)4171566-4 s Hankel-Operator (DE-588)4314042-7 s Kompaktheit (DE-588)4456100-3 s Hamilton-Operator (DE-588)4072278-8 s DE-604 Erscheint auch als Online-Ausgabe 978-3-11-031535-6 De Gruyter expositions in mathematics 59 (DE-604)BV004069300 59 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4493414&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027396190&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Haslinger, Friedrich The d-bar-Neumann problem and Schrödinger operators De Gruyter expositions in mathematics Kompaktheit (DE-588)4456100-3 gnd Neumann-Problem (DE-588)4171566-4 gnd Cauchy-Riemannsche Differentialgleichungen (DE-588)4147397-8 gnd Hankel-Operator (DE-588)4314042-7 gnd Hamilton-Operator (DE-588)4072278-8 gnd |
| subject_GND | (DE-588)4456100-3 (DE-588)4171566-4 (DE-588)4147397-8 (DE-588)4314042-7 (DE-588)4072278-8 |
| title | The d-bar-Neumann problem and Schrödinger operators |
| title_alt | The dbar-Neumann problem and Schrödinger operators |
| title_auth | The d-bar-Neumann problem and Schrödinger operators |
| title_exact_search | The d-bar-Neumann problem and Schrödinger operators |
| title_full | The d-bar-Neumann problem and Schrödinger operators Friedrich Haslinger |
| title_fullStr | The d-bar-Neumann problem and Schrödinger operators Friedrich Haslinger |
| title_full_unstemmed | The d-bar-Neumann problem and Schrödinger operators Friedrich Haslinger |
| title_short | The d-bar-Neumann problem and Schrödinger operators |
| title_sort | the d bar neumann problem and schrodinger operators |
| topic | Kompaktheit (DE-588)4456100-3 gnd Neumann-Problem (DE-588)4171566-4 gnd Cauchy-Riemannsche Differentialgleichungen (DE-588)4147397-8 gnd Hankel-Operator (DE-588)4314042-7 gnd Hamilton-Operator (DE-588)4072278-8 gnd |
| topic_facet | Kompaktheit Neumann-Problem Cauchy-Riemannsche Differentialgleichungen Hankel-Operator Hamilton-Operator |
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| volume_link | (DE-604)BV004069300 |
| work_keys_str_mv | AT haslingerfriedrich thedbarneumannproblemandschrodingeroperators |