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140719s2014 nju o 000 0 eng d
▼a 9781400862887
▼q (electronic bk.)
▼a 1400862884
▼q (electronic bk.)
▼a 10.1515/9781400862887
▼2 doi
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▼a DEBSZ
▼b 472834142
▼a DEBBG
▼b BV043778184
▼a (OCoLC)884012968
▼a 22573/ctt73668h
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▼a EBLCP
▼b eng
▼e pn
▼c EBLCP
▼d OCLCO
▼d IDEBK
▼d DEBSZ
▼d OCLCQ
▼d JSTOR
▼d YDXCP
▼d OCLCF
▼d N$T
▼d OCLCQ
▼d OCLCO
▼d COO
▼d OCLCQ
▼d 248023
▼a QA377 .T682 2014
▼a MAT012030
▼2 bisacsh
▼a MAT
▼x 005000
▼2 bisacsh
▼a MAT
▼x 034000
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▼a 515.353
▼a 515/.353
▼a Treves, François.
▼a Hypo-Analytic Structures:
▼b Local Theory (PMS-40).
▼a Princeton:
▼b Princeton University Press,
▼c 2014.
▼a 1 online resource (516 pages).
▼a text
▼b txt
▼2 rdacontent
▼a computer
▼b c
▼2 rdamedia
▼a online resource
▼b cr
▼2 rdacarrier
▼a Princeton Mathematical Series;
▼v v. 40
▼a Cover; Contents.
▼t Frontmatter --
▼t Contents --
▼t Preface --
▼t I. Formally and Locally Integrable Structures. Basic Definitions --
▼t II. Local Approximation and Representation in Locally Integrable Structures --
▼t III. Hypo-Analytic Structures. Hypocomplex Manifolds --
▼t IV. Integrable Formal Structures. Normal Forms --
▼t V. Involutive Structures With Boundary --
▼t VI. Local Integraboity and Local Solvability in Elliptic Structures --
▼t VII. Examples of Nonintegrability and of Nonsolvability --
▼t VIII. Necessary Conditions for the Vanishing of the Cohomology. Local Solvability of a Single Vector Field --
▼t IX. FBI Transform in a Hypo-Analytic Manifold --
▼t X. Involutive Systems of Nonlinear First-Order Differential Equations --
▼t References --
▼t Index.
▼a In Hypo-Analytic Structures Franois Treves provides a systematic approach to the study of the differential structures on manifolds defined by systems of complex vector fields. Serving as his main examples are the elliptic complexes, among which the De Rham and Dolbeault are the best known, and the tangential Cauchy-Riemann operators. Basic geometric entities attached to those structures are isolated, such as maximally real submanifolds and orbits of the system. Treves discusses the existence, uniqueness, and approximation of local solutions to homogeneous and inhomogeneous equations.
▼a In English.
▼a Print version record.
▼a eBooks on EBSCOhost
▼b All EBSCO eBooks
▼a Differential equations, Partial.
▼a Manifolds (Mathematics)
▼a Vector fields.
▼a Differential equations, Partial.
▼a Manifolds (Mathematics)
▼a Vector fields.
▼a MATHEMATICS
▼x Geometry
▼x Differential.
▼2 bisacsh
▼a MATHEMATICS
▼x Calculus.
▼2 bisacsh
▼a MATHEMATICS
▼x Mathematical Analysis.
▼2 bisacsh
▼a Differential equations, Partial.
▼2 fast
▼0 (OCoLC)fst00893484
▼a Manifolds (Mathematics)
▼2 fast
▼0 (OCoLC)fst01007726
▼a Vector fields.
▼2 fast
▼0 (OCoLC)fst01164665
▼a Electronic books.
▼i Print version:
▼a Treves, François.
▼t Hypo-Analytic Structures : Local Theory (PMS-40).
▼d Princeton : Princeton University Press, ©2014
▼a Princeton mathematical series.
▼u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=790981
▼a EBL - Ebook Library
▼b EBLB
▼n EBL1700288
▼a EBSCOhost
▼b EBSC
▼n 790981
▼a Ingram Digital eBook Collection
▼b IDEB
▼n cis28703942
▼a YBP Library Services
▼b YANK
▼n 11976651
▼a 강리원
▼a eBook
▼a 92
▼b KRKUC
| 자료유형 : | eBook |
|---|---|
| ISBN : | 9781400862887 |
| ISBN : | 1400862884 |
| 기타표준부호 : | 10.1515/9781400862887 doi |
| 개인저자 : | Treves, François. |
| 서명/저자사항 : | Hypo-Analytic Structures: Local Theory (PMS-40). |
| 발행사항 : | Princeton: Princeton University Press, 2014. |
| 형태사항 : | 1 online resource (516 pages). |
| 총서사항 : | Princeton Mathematical Series; v. 40 |
| 일반주기 : | Cover; Contents. |
| 내용주기 : | Frontmatter -- Contents -- Preface -- I. Formally and Locally Integrable Structures. Basic Definitions -- II. Local Approximation and Representation in Locally Integrable Structures -- III. Hypo-Analytic Structures. Hypocomplex Manifolds -- IV. Integrable Formal Structures. Normal Forms -- V. Involutive Structures With Boundary -- VI. Local Integraboity and Local Solvability in Elliptic Structures -- VII. Examples of Nonintegrability and of Nonsolvability -- VIII. Necessary Conditions for the Vanishing of the Cohomology. Local Solvability of a Single Vector Field -- IX. FBI Transform in a Hypo-Analytic Manifold -- X. Involutive Systems of Nonlinear First-Order Differential Equations -- References -- Index. |
| 요약 : | In Hypo-Analytic Structures Franois Treves provides a systematic approach to the study of the differential structures on manifolds defined by systems of complex vector fields. Serving as his main examples are the elliptic complexes, among which the De Rham and Dolbeault are the best known, and the tangential Cauchy-Riemann operators. Basic geometric entities attached to those structures are isolated, such as maximally real submanifolds and orbits of the system. Treves discusses the existence, uniqueness, and approximation of local solutions to homogeneous and inhomogeneous equations. |
| 일반주제명 : | Differential equations, Partial. -- |
| 일반주제명 : | Manifolds (Mathematics) -- |
| 일반주제명 : | Vector fields. -- |
| 일반주제명 : | Differential equations, Partial. -- |
| 일반주제명 : | Manifolds (Mathematics) -- |
| 일반주제명 : | Vector fields. -- |
| 일반주제명 : | MATHEMATICS -- Geometry -- Differential. -- |
| 일반주제명 : | MATHEMATICS -- Calculus. -- |
| 일반주제명 : | MATHEMATICS -- Mathematical Analysis. -- |
| 일반주제명 : | Differential equations, Partial. -- |
| 일반주제명 : | Manifolds (Mathematics) -- |
| 일반주제명 : | Vector fields. -- |
| 기타형태 저록 : | Print version: Treves, François. Hypo-Analytic Structures : Local Theory (PMS-40). Princeton : Princeton University Press, ©2014 |
| 언어 | 영어 |
| URL : |
|---|
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