The Resource Classical microlocal analysis in the space of hyperfunctions, Seiichiro Wakabayashi

Classical microlocal analysis in the space of hyperfunctions, Seiichiro Wakabayashi

Label
Classical microlocal analysis in the space of hyperfunctions
Title
Classical microlocal analysis in the space of hyperfunctions
Statement of responsibility
Seiichiro Wakabayashi
Creator
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1948-
http://library.link/vocab/creatorName
Wakabayashi, Seiichiro
Index
index present
LC call number
QA3.L28 no. 1737
Literary form
non fiction
Nature of contents
bibliography
Series statement
Lecture notes in mathematics,
Series volume
1737
http://library.link/vocab/subjectName
  • Hyperfunctions
  • Microlocal analysis
  • Hyperfonctions
  • Analyse microlocale
  • Hyperfunctions
  • Microlocal analysis
  • Lokale analyse (wiskunde)
  • Equacoes diferenciais parciais
  • Hyperfonctions
  • Analyse microlocale
  • Partielle Differentialgleichung
  • Mikrolokale Analysis
  • Hyperfunktion
Label
Classical microlocal analysis in the space of hyperfunctions, Seiichiro Wakabayashi
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. [361]-364) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1. Hyperfunctions -- 1.1. Function spaces -- 1.2. Supports -- 1.3. Localization -- 1.4. Hyperfunctions -- 1.5. Further applications of the Runge approximation theorem -- 2. Basic calculus of Fourier integral operators and pseudo-differential operators -- 2.1. Preliminary lemmas -- 2.2. Symbol classes -- 2.3. Definition of Fourier integral operators -- 2.4. Product formula of Fourier integral operators I -- 2.5. Product formula of Fourier integral operators II -- 2.6. Pseudolocal properties -- 2.7. Pseudodifferential operators in B -- 2.8. Parametrices of elliptic operators -- 3. Analytic wave front sets and microfunctions -- 3.1. Analytic wave front sets -- 3.2. Action of Fourier integral operators on wave front sets -- 3.3. The boundary values of analytic functions -- 3.4. Operations on hyperfunctions -- 3.5. Hyperfunctions supported by a half-space -- 3.6. Microfunctions -- 3.7. Formal analytic symbols -- 4. Microlocal uniqueness -- 4.1. Preliminary lemmas -- 4.2. General results -- 4.3. Microhyperbolic operators -- 4.4. Canonical transformation -- 4.5. Hypoellipticity -- 5. Local solvability -- 5.1. Preliminaries -- 5.2. Necessary conditions on local solvability and hypoellipticity -- 5.3. Sufficient conditions on local solvability -- 5.4. Some examples -- A. Proofs of product formulae -- B. A priori estimates
Dimensions
24 cm.
Extent
viii, 367 pages
Isbn
9783540676034
Lccn
00040014
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
System control number
  • (OCoLC)44046959
  • (OCoLC)ocm44046959
Label
Classical microlocal analysis in the space of hyperfunctions, Seiichiro Wakabayashi
Publication
Bibliography note
Includes bibliographical references (p. [361]-364) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1. Hyperfunctions -- 1.1. Function spaces -- 1.2. Supports -- 1.3. Localization -- 1.4. Hyperfunctions -- 1.5. Further applications of the Runge approximation theorem -- 2. Basic calculus of Fourier integral operators and pseudo-differential operators -- 2.1. Preliminary lemmas -- 2.2. Symbol classes -- 2.3. Definition of Fourier integral operators -- 2.4. Product formula of Fourier integral operators I -- 2.5. Product formula of Fourier integral operators II -- 2.6. Pseudolocal properties -- 2.7. Pseudodifferential operators in B -- 2.8. Parametrices of elliptic operators -- 3. Analytic wave front sets and microfunctions -- 3.1. Analytic wave front sets -- 3.2. Action of Fourier integral operators on wave front sets -- 3.3. The boundary values of analytic functions -- 3.4. Operations on hyperfunctions -- 3.5. Hyperfunctions supported by a half-space -- 3.6. Microfunctions -- 3.7. Formal analytic symbols -- 4. Microlocal uniqueness -- 4.1. Preliminary lemmas -- 4.2. General results -- 4.3. Microhyperbolic operators -- 4.4. Canonical transformation -- 4.5. Hypoellipticity -- 5. Local solvability -- 5.1. Preliminaries -- 5.2. Necessary conditions on local solvability and hypoellipticity -- 5.3. Sufficient conditions on local solvability -- 5.4. Some examples -- A. Proofs of product formulae -- B. A priori estimates
Dimensions
24 cm.
Extent
viii, 367 pages
Isbn
9783540676034
Lccn
00040014
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
System control number
  • (OCoLC)44046959
  • (OCoLC)ocm44046959

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