Methods of modern mathematical physics: 2 Fourier analysis, self-adjointness
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Acad. Press
2007
|
| Edition: | [Nachdr.], transferred to digital print. |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 361 S. graph. Darst. |
| ISBN: | 9780123958266 9780125850025 |
Staff View
MARC
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| 245 | 1 | 0 | |a Methods of modern mathematical physics |n 2 |p Fourier analysis, self-adjointness |c Michael Reed ; Barry Simon |
| 250 | |a [Nachdr.], transferred to digital print. | ||
| 264 | 1 | |a New York [u.a.] |b Acad. Press |c 2007 | |
| 300 | |a XV, 361 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 700 | 1 | |a Simon, Barry |d 1946- |e Verfasser |0 (DE-588)134200195 |4 aut | |
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Record in the Search Index
| _version_ | 1804137930018521088 |
|---|---|
| adam_text | Contents
Preface
va
Introduction
¡χ
Contents
of Other Volumes
χν
IX: THE FOURIER TRANSFORM
/.
The Fourier transform on £r(№) and £r {UH), convolutions
1
2.
The range of the Fourier transform: Classical spaces
9
3.
The range of the Fourier transform: Analyticity
15
4.
IS Estimates
27
Appendix Abstract interpolation
32
5.
Fundamental solutions of partial differential equations
with constant coefficients
45
6.
Elliptic regularity
49
7.
The free Hamiltonian for nonrelativistic quantum
mechanics
54
8.
The
Gårding-Wightman
axioms
61
Appendix
Lorentz
invariant measures
72
9.
Restriction to submanifolds
76
10.
Products of distributions, wave front sets, and oscillatory
integrals
87
Notes
108
Problems
120
Reader s Guide
133
xiii
xlv CONTENTS
X:
SELF-ADJOINTNESS
AND THE EXISTENCE OF DYNAMICS
L
Extensions of symmetric operators
135
Appendix Motion on a half-line, limit point-limit circle
methods
146
2.
Perturbations of self-adjoint operators
162
3.
Positivity
and self-adjointness I: Quadratic forms
176
4.
Positivity
and self-adjointness II
:
Pointwise
positivity
182
5.
The commutator theorem
191
6.
Analytic vectors
200
7.
Free quantum fields
207
Appendix The Weyl relations for the free field
231
8.
Semigroups and their generators
235
9.
Hypercontractive semigroups
258
10.
Graph Limits
268
11.
The Feynman-Kac formula
274
12.
Time-dependent Hamiltonians
282
13.
Classical nonlinear wave equations
293
14.
The Hilbert space approach to classical mechanics
313
Notes
318
Problems
338
Reader s Guide
349
List of Symbols
353
Index
355
|
| adam_txt |
Contents
Preface
va
Introduction
¡χ
Contents
of Other Volumes
χν
IX: THE FOURIER TRANSFORM
/.
The Fourier transform on £r(№) and £r'{UH), convolutions
1
2.
The range of the Fourier transform: Classical spaces
9
3.
The range of the Fourier transform: Analyticity
15
4.
IS Estimates
27
Appendix Abstract interpolation
32
5.
Fundamental solutions of partial differential equations
with constant coefficients
45
6.
Elliptic regularity
49
7.
The free Hamiltonian for nonrelativistic quantum
mechanics
54
8.
The
Gårding-Wightman
axioms
61
Appendix
Lorentz
invariant measures
72
9.
Restriction to submanifolds
76
10.
Products of distributions, wave front sets, and oscillatory
integrals
87
Notes
108
Problems
120
Reader's Guide
133
xiii
xlv CONTENTS
X:
SELF-ADJOINTNESS
AND THE EXISTENCE OF DYNAMICS
L
Extensions of symmetric operators
135
Appendix Motion on a half-line, limit point-limit circle
methods
146
2.
Perturbations of self-adjoint operators
162
3.
Positivity
and self-adjointness I: Quadratic forms
176
4.
Positivity
and self-adjointness II
:
Pointwise
positivity
182
5.
The commutator theorem
191
6.
Analytic vectors
200
7.
Free quantum fields
207
Appendix The Weyl relations for the free field
231
8.
Semigroups and their generators
235
9.
Hypercontractive semigroups
258
10.
Graph Limits
268
11.
The Feynman-Kac formula
274
12.
Time-dependent Hamiltonians
282
13.
Classical nonlinear wave equations
293
14.
The Hilbert space approach to classical mechanics
313
Notes
318
Problems
338
Reader's Guide
349
List of Symbols
353
Index
355 |
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| edition | [Nachdr.], transferred to digital print. |
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| illustrated | Illustrated |
| index_date | 2024-07-02T21:43:23Z |
| indexdate | 2024-07-09T21:20:07Z |
| institution | BVB |
| isbn | 9780123958266 9780125850025 |
| language | English |
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| physical | XV, 361 S. graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
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| publisher | Acad. Press |
| record_format | marc |
| spelling | Reed, Michael 1942- Verfasser (DE-588)121352889 aut Methods of modern mathematical physics 2 Fourier analysis, self-adjointness Michael Reed ; Barry Simon [Nachdr.], transferred to digital print. New York [u.a.] Acad. Press 2007 XV, 361 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Simon, Barry 1946- Verfasser (DE-588)134200195 aut (DE-604)BV002367875 2 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016679031&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Reed, Michael 1942- Simon, Barry 1946- Methods of modern mathematical physics |
| title | Methods of modern mathematical physics |
| title_auth | Methods of modern mathematical physics |
| title_exact_search | Methods of modern mathematical physics |
| title_exact_search_txtP | Methods of modern mathematical physics |
| title_full | Methods of modern mathematical physics 2 Fourier analysis, self-adjointness Michael Reed ; Barry Simon |
| title_fullStr | Methods of modern mathematical physics 2 Fourier analysis, self-adjointness Michael Reed ; Barry Simon |
| title_full_unstemmed | Methods of modern mathematical physics 2 Fourier analysis, self-adjointness Michael Reed ; Barry Simon |
| title_short | Methods of modern mathematical physics |
| title_sort | methods of modern mathematical physics fourier analysis self adjointness |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016679031&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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