The analysis of linear partial differential operators: 4 Fourier integral operators
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Springer
2009
|
| Ausgabe: | Reprint of the 1994 edition |
| Schriftenreihe: | Classics in mathematics
Die Grundlehren der mathematischen Wissenschaften |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Original erschienen als Band 275 der Serie "Grundlehren der mathematischen Wissenschaften" |
| Beschreibung: | VII, 351 Seiten |
| ISBN: | 3642001173 9783642001178 |
Internformat
MARC
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| 020 | |a 9783642001178 |c Broschur |9 978-3-642-00117-8 | ||
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| 100 | 1 | |a Hörmander, Lars |d 1931-2012 |e Verfasser |0 (DE-588)105823449 |4 aut | |
| 245 | 1 | 0 | |a The analysis of linear partial differential operators |n 4 |p Fourier integral operators |c Lars Hörmander |
| 250 | |a Reprint of the 1994 edition | ||
| 264 | 1 | |a Berlin |b Springer |c 2009 | |
| 300 | |a VII, 351 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Classics in mathematics | |
| 490 | 0 | |a Die Grundlehren der mathematischen Wissenschaften | |
| 500 | |a Original erschienen als Band 275 der Serie "Grundlehren der mathematischen Wissenschaften" | ||
| 650 | 0 | 7 | |a Linearer partieller Differentialoperator |0 (DE-588)4167722-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Linearer partieller Differentialoperator |0 (DE-588)4167722-5 |D s |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-017990920 | |
Datensatz im Suchindex
| _version_ | 1823026199586144256 |
|---|---|
| adam_text |
Contents
Introduction
. 1
Chapter
XXV.
Lagrangian Distributions and Fourier Integral
Operators
. 3
Summary
. ■*
25.1.
Lagrangian Distributions
. 4
25.2.
The Calculus of Fourier Integral Operators
. 17
25.3.
Special Cases of the Calculus, and L2 Continuity
. 24
25.4.
Distributions Associated with Positive Lagrangian Ideals
. . 35
25.5.
Fourier Integral Operators with Complex Phase
. 43
Notes
.
52
Chapter
XXVI.
Pseudo-Differential Operators of Principal Type
. 54
Summary
. 54
26.1.
Operators with Real Principal Symbols
. 57
26.2.
The Complex Involutive Case
. 73
26.3.
The Symplectic Case
. 81
26.4.
Solvability and Condition
(Ψ)
. 91
26.5.
Geometrical Aspects of Condition (P)
. 110
26.6.
The Singularities in
Nu. 117
26.7.
Degenerate Cauchy-Riemann Operators
. 123
26.8.
The Nirenberg-Treves Estimate
. 134
26.9.
The Singularities in
Щ
and in Nf2
. 137
26.10.
The Singularities on One Dimensional Bicharacteristics
. . . 149
26.11.
A Semi-Global Existence Theorem
. 161
Notes
. 163
Chapter
XXVII.
Subelliptic Operators
. 165
Summary
. 165
27.1.
Definitions and Main Results
. 165
27.2.
The Taylor Expansion of the Symbol
. 171
27.3.
Subelliptic Operators Satisfying (P)
. 178
27.4.
Local Properties of the Symbol
. 183
Contents
VII
27.5.
Local Subelliptic Estimates
.202
27.6.
Global Subelliptic Estimates
.212
Notes
.219
Chapter
XXVIII.
Uniqueness for the Cauchy problem
.220
Summary
.220
28.1.
Calderón's
Uniqueness Theorem
.220
28.2.
General
Carleman
Estimates
.234
28.3.
Uniqueness Under Convexity Conditions
.239
28.4.
Second Order Operators of Real Principal Type
.242
Notes
.248
Chapter
XXIX.
Spectral Asymptotics
.249
Summary
.249
29.1.
The Spectral Measure and its Fourier Transform
.249
29.2.
The Case of a Periodic Hamilton Flow
.263
29.3.
The Weyl Formula for the Dirichlet Problem
.271
Notes
.274
Chapter
XXX.
Long Range Scattering Theory
.276
Summary
.276
30.1.
Admissible Perturbations
.277
30.2.
The Boundary Value of the Resolvent, and the Point Spectrum
281
30.3.
The Hamilton Flow
.296
30.4.
Modified Wave Operators
.308
30.5.
Distorted Fourier Transforms and Asymptotic Completeness
. 314
Notes
.330
Bibliography
.332
Index
.350
Index of Notation
.352 |
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| id | DE-604.BV035714032 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-03T09:01:03Z |
| institution | BVB |
| isbn | 3642001173 9783642001178 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017990920 |
| oclc_num | 320535308 |
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| physical | VII, 351 Seiten |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| series2 | Classics in mathematics Die Grundlehren der mathematischen Wissenschaften |
| spelling | Hörmander, Lars 1931-2012 Verfasser (DE-588)105823449 aut The analysis of linear partial differential operators 4 Fourier integral operators Lars Hörmander Reprint of the 1994 edition Berlin Springer 2009 VII, 351 Seiten txt rdacontent n rdamedia nc rdacarrier Classics in mathematics Die Grundlehren der mathematischen Wissenschaften Original erschienen als Band 275 der Serie "Grundlehren der mathematischen Wissenschaften" Linearer partieller Differentialoperator (DE-588)4167722-5 gnd rswk-swf Linearer partieller Differentialoperator (DE-588)4167722-5 s DE-604 (DE-604)BV000157227 4 Erscheint auch als Online-Ausgabe, PDF 978-3-642-00136-9 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017990920&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hörmander, Lars 1931-2012 The analysis of linear partial differential operators Linearer partieller Differentialoperator (DE-588)4167722-5 gnd |
| subject_GND | (DE-588)4167722-5 |
| title | The analysis of linear partial differential operators |
| title_auth | The analysis of linear partial differential operators |
| title_exact_search | The analysis of linear partial differential operators |
| title_full | The analysis of linear partial differential operators 4 Fourier integral operators Lars Hörmander |
| title_fullStr | The analysis of linear partial differential operators 4 Fourier integral operators Lars Hörmander |
| title_full_unstemmed | The analysis of linear partial differential operators 4 Fourier integral operators Lars Hörmander |
| title_short | The analysis of linear partial differential operators |
| title_sort | the analysis of linear partial differential operators fourier integral operators |
| topic | Linearer partieller Differentialoperator (DE-588)4167722-5 gnd |
| topic_facet | Linearer partieller Differentialoperator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017990920&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000157227 |
| work_keys_str_mv | AT hormanderlars theanalysisoflinearpartialdifferentialoperators4 |