Hypo-Analytic Structures :: Local Theory (PMS-40).
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 t...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton :
Princeton University Press,
2014.
|
| Schriftenreihe: | Princeton mathematical series.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | Cover; Contents. |
| Beschreibung: | 1 online resource (516 pages) |
| ISBN: | 9781400862887 1400862884 |
Internformat
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn884012968 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 140719s2014 nju o 000 0 eng d | ||
| 040 | |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 UIU |d AGLDB |d OCLCQ |d EZ9 |d VTS |d LVT |d STF |d DKC |d OCLCQ |d M8D |d OCLCQ |d AJS |d OCLCO |d OCLCQ |d OCLCO |d OCLCL |d NUI | ||
| 020 | |a 9781400862887 |q (electronic bk.) | ||
| 020 | |a 1400862884 |q (electronic bk.) | ||
| 024 | 7 | |a 10.1515/9781400862887 |2 doi | |
| 035 | |a (OCoLC)884012968 | ||
| 037 | |a 22573/ctt73668h |b JSTOR | ||
| 050 | 4 | |a QA377 .T682 2014 | |
| 072 | 7 | |a MAT012030 |2 bisacsh | |
| 072 | 7 | |a MAT |x 005000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 034000 |2 bisacsh | |
| 082 | 7 | |a 515.353 |a 515/.353 | |
| 049 | |a MAIN | ||
| 100 | 1 | |a Treves, François. | |
| 245 | 1 | 0 | |a Hypo-Analytic Structures : |b Local Theory (PMS-40). |
| 260 | |a Princeton : |b Princeton University Press, |c 2014. | ||
| 300 | |a 1 online resource (516 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Princeton Mathematical Series ; |v v. 40 | |
| 588 | 0 | |a Print version record. | |
| 500 | |a Cover; Contents. | ||
| 520 | |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. | ||
| 505 | 0 | 0 | |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. |
| 546 | |a In English. | ||
| 650 | 0 | |a Differential equations, Partial. |0 http://id.loc.gov/authorities/subjects/sh85037912 | |
| 650 | 0 | |a Manifolds (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85080549 | |
| 650 | 0 | |a Vector fields. |0 http://id.loc.gov/authorities/subjects/sh85142453 | |
| 650 | 6 | |a Équations aux dérivées partielles. | |
| 650 | 6 | |a Variétés (Mathématiques) | |
| 650 | 6 | |a Champs vectoriels. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Differential. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Differential equations, Partial |2 fast | |
| 650 | 7 | |a Manifolds (Mathematics) |2 fast | |
| 650 | 7 | |a Vector fields |2 fast | |
| 653 | |a Algebra homomorphism. | ||
| 653 | |a Analytic function. | ||
| 653 | |a Automorphism. | ||
| 653 | |a Basis (linear algebra). | ||
| 653 | |a Bijection. | ||
| 653 | |a Bounded operator. | ||
| 653 | |a C0. | ||
| 653 | |a CR manifold. | ||
| 653 | |a Cauchy problem. | ||
| 653 | |a Cauchy sequence. | ||
| 653 | |a Cauchy-Riemann equations. | ||
| 653 | |a Characterization (mathematics). | ||
| 653 | |a Coefficient. | ||
| 653 | |a Cohomology. | ||
| 653 | |a Commutative property. | ||
| 653 | |a Commutator. | ||
| 653 | |a Complex dimension. | ||
| 653 | |a Complex manifold. | ||
| 653 | |a Complex number. | ||
| 653 | |a Complex space. | ||
| 653 | |a Complex-analytic variety. | ||
| 653 | |a Continuous function (set theory). | ||
| 653 | |a Corollary. | ||
| 653 | |a Coset. | ||
| 653 | |a De Rham cohomology. | ||
| 653 | |a Diagram (category theory). | ||
| 653 | |a Diffeomorphism. | ||
| 653 | |a Differential form. | ||
| 653 | |a Differential operator. | ||
| 653 | |a Dimension (vector space). | ||
| 653 | |a Dirac delta function. | ||
| 653 | |a Dirac measure. | ||
| 653 | |a Eigenvalues and eigenvectors. | ||
| 653 | |a Embedding. | ||
| 653 | |a Equation. | ||
| 653 | |a Exact differential. | ||
| 653 | |a Existential quantification. | ||
| 653 | |a Exterior algebra. | ||
| 653 | |a F-space. | ||
| 653 | |a Formal power series. | ||
| 653 | |a Frobenius theorem (differential topology). | ||
| 653 | |a Frobenius theorem (real division algebras). | ||
| 653 | |a H-vector. | ||
| 653 | |a Hadamard three-circle theorem. | ||
| 653 | |a Hahn-Banach theorem. | ||
| 653 | |a Holomorphic function. | ||
| 653 | |a Hypersurface. | ||
| 653 | |a Hölder condition. | ||
| 653 | |a Identity matrix. | ||
| 653 | |a Infimum and supremum. | ||
| 653 | |a Integer. | ||
| 653 | |a Integral equation. | ||
| 653 | |a Integral transform. | ||
| 653 | |a Intersection (set theory). | ||
| 653 | |a Jacobian matrix and determinant. | ||
| 653 | |a Linear differential equation. | ||
| 653 | |a Linear equation. | ||
| 653 | |a Linear map. | ||
| 653 | |a Lipschitz continuity. | ||
| 653 | |a Manifold. | ||
| 653 | |a Mean value theorem. | ||
| 653 | |a Method of characteristics. | ||
| 653 | |a Monomial. | ||
| 653 | |a Multi-index notation. | ||
| 653 | |a Neighbourhood (mathematics). | ||
| 653 | |a Norm (mathematics). | ||
| 653 | |a One-form. | ||
| 653 | |a Open mapping theorem (complex analysis). | ||
| 653 | |a Open mapping theorem. | ||
| 653 | |a Open set. | ||
| 653 | |a Ordinary differential equation. | ||
| 653 | |a Partial differential equation. | ||
| 653 | |a Poisson bracket. | ||
| 653 | |a Polynomial. | ||
| 653 | |a Power series. | ||
| 653 | |a Projection (linear algebra). | ||
| 653 | |a Pullback (category theory). | ||
| 653 | |a Pullback (differential geometry). | ||
| 653 | |a Pullback. | ||
| 653 | |a Riemann mapping theorem. | ||
| 653 | |a Riemann surface. | ||
| 653 | |a Ring homomorphism. | ||
| 653 | |a Sesquilinear form. | ||
| 653 | |a Sobolev space. | ||
| 653 | |a Special case. | ||
| 653 | |a Stokes' theorem. | ||
| 653 | |a Stone-Weierstrass theorem. | ||
| 653 | |a Submanifold. | ||
| 653 | |a Subset. | ||
| 653 | |a Support (mathematics). | ||
| 653 | |a Surjective function. | ||
| 653 | |a Symplectic geometry. | ||
| 653 | |a Symplectic vector space. | ||
| 653 | |a Taylor series. | ||
| 653 | |a Theorem. | ||
| 653 | |a Unit disk. | ||
| 653 | |a Upper half-plane. | ||
| 653 | |a Vector bundle. | ||
| 653 | |a Vector field. | ||
| 653 | |a Volume form. | ||
| 758 | |i has work: |a Hypo-Analytic Structures: Local Theory (PMS-40) (Work) |1 https://id.oclc.org/worldcat/entity/E39PCYpFQ68DXKVbbRGBbDVbGw |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Treves, François. |t Hypo-Analytic Structures : Local Theory (PMS-40). |d Princeton : Princeton University Press, ©2014 |
| 830 | 0 | |a Princeton mathematical series. |0 http://id.loc.gov/authorities/names/n42019693 | |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=790981 |3 Volltext |
| 936 | |a BATCHLOAD | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL1700288 | ||
| 938 | |a EBSCOhost |b EBSC |n 790981 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis28703942 | ||
| 938 | |a YBP Library Services |b YANK |n 11976651 | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn884012968 |
|---|---|
| _version_ | 1816882279080787968 |
| adam_text | |
| any_adam_object | |
| author | Treves, François |
| author_facet | Treves, François |
| author_role | |
| author_sort | Treves, François |
| author_variant | f t ft |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA377 |
| callnumber-raw | QA377 .T682 2014 |
| callnumber-search | QA377 .T682 2014 |
| callnumber-sort | QA 3377 T682 42014 |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | 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. |
| ctrlnum | (OCoLC)884012968 |
| dewey-full | 515.353 515/.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 515/.353 |
| dewey-search | 515.353 515/.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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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.</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter --</subfield><subfield code="t">Contents --</subfield><subfield code="t">Preface --</subfield><subfield code="t">I. Formally and Locally Integrable Structures. Basic Definitions --</subfield><subfield code="t">II. Local Approximation and Representation in Locally Integrable Structures --</subfield><subfield code="t">III. Hypo-Analytic Structures. Hypocomplex Manifolds --</subfield><subfield code="t">IV. Integrable Formal Structures. Normal Forms --</subfield><subfield code="t">V. Involutive Structures With Boundary --</subfield><subfield code="t">VI. Local Integraboity and Local Solvability in Elliptic Structures --</subfield><subfield code="t">VII. Examples of Nonintegrability and of Nonsolvability --</subfield><subfield code="t">VIII. Necessary Conditions for the Vanishing of the Cohomology. Local Solvability of a Single Vector Field --</subfield><subfield code="t">IX. FBI Transform in a Hypo-Analytic Manifold --</subfield><subfield code="t">X. 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| id | ZDB-4-EBA-ocn884012968 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:26:05Z |
| institution | BVB |
| isbn | 9781400862887 1400862884 |
| language | English |
| oclc_num | 884012968 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (516 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Princeton University Press, |
| record_format | marc |
| series | Princeton mathematical series. |
| series2 | Princeton Mathematical Series ; |
| spelling | Treves, François. Hypo-Analytic Structures : Local Theory (PMS-40). Princeton : Princeton University Press, 2014. 1 online resource (516 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Princeton Mathematical Series ; v. 40 Print version record. Cover; Contents. 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. 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. In English. Differential equations, Partial. http://id.loc.gov/authorities/subjects/sh85037912 Manifolds (Mathematics) http://id.loc.gov/authorities/subjects/sh85080549 Vector fields. http://id.loc.gov/authorities/subjects/sh85142453 Équations aux dérivées partielles. Variétés (Mathématiques) Champs vectoriels. MATHEMATICS Geometry Differential. bisacsh MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Differential equations, Partial fast Manifolds (Mathematics) fast Vector fields fast Algebra homomorphism. Analytic function. Automorphism. Basis (linear algebra). Bijection. Bounded operator. C0. CR manifold. Cauchy problem. Cauchy sequence. Cauchy-Riemann equations. Characterization (mathematics). Coefficient. Cohomology. Commutative property. Commutator. Complex dimension. Complex manifold. Complex number. Complex space. Complex-analytic variety. Continuous function (set theory). Corollary. Coset. De Rham cohomology. Diagram (category theory). Diffeomorphism. Differential form. Differential operator. Dimension (vector space). Dirac delta function. Dirac measure. Eigenvalues and eigenvectors. Embedding. Equation. Exact differential. Existential quantification. Exterior algebra. F-space. Formal power series. Frobenius theorem (differential topology). Frobenius theorem (real division algebras). H-vector. Hadamard three-circle theorem. Hahn-Banach theorem. Holomorphic function. Hypersurface. Hölder condition. Identity matrix. Infimum and supremum. Integer. Integral equation. Integral transform. Intersection (set theory). Jacobian matrix and determinant. Linear differential equation. Linear equation. Linear map. Lipschitz continuity. Manifold. Mean value theorem. Method of characteristics. Monomial. Multi-index notation. Neighbourhood (mathematics). Norm (mathematics). One-form. Open mapping theorem (complex analysis). Open mapping theorem. Open set. Ordinary differential equation. Partial differential equation. Poisson bracket. Polynomial. Power series. Projection (linear algebra). Pullback (category theory). Pullback (differential geometry). Pullback. Riemann mapping theorem. Riemann surface. Ring homomorphism. Sesquilinear form. Sobolev space. Special case. Stokes' theorem. Stone-Weierstrass theorem. Submanifold. Subset. Support (mathematics). Surjective function. Symplectic geometry. Symplectic vector space. Taylor series. Theorem. Unit disk. Upper half-plane. Vector bundle. Vector field. Volume form. has work: Hypo-Analytic Structures: Local Theory (PMS-40) (Work) https://id.oclc.org/worldcat/entity/E39PCYpFQ68DXKVbbRGBbDVbGw https://id.oclc.org/worldcat/ontology/hasWork Print version: Treves, François. Hypo-Analytic Structures : Local Theory (PMS-40). Princeton : Princeton University Press, ©2014 Princeton mathematical series. http://id.loc.gov/authorities/names/n42019693 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=790981 Volltext |
| spellingShingle | Treves, François Hypo-Analytic Structures : Local Theory (PMS-40). Princeton mathematical series. 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. Differential equations, Partial. http://id.loc.gov/authorities/subjects/sh85037912 Manifolds (Mathematics) http://id.loc.gov/authorities/subjects/sh85080549 Vector fields. http://id.loc.gov/authorities/subjects/sh85142453 Équations aux dérivées partielles. Variétés (Mathématiques) Champs vectoriels. MATHEMATICS Geometry Differential. bisacsh MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Differential equations, Partial fast Manifolds (Mathematics) fast Vector fields fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037912 http://id.loc.gov/authorities/subjects/sh85080549 http://id.loc.gov/authorities/subjects/sh85142453 |
| title | Hypo-Analytic Structures : Local Theory (PMS-40). |
| title_alt | 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. |
| title_auth | Hypo-Analytic Structures : Local Theory (PMS-40). |
| title_exact_search | Hypo-Analytic Structures : Local Theory (PMS-40). |
| title_full | Hypo-Analytic Structures : Local Theory (PMS-40). |
| title_fullStr | Hypo-Analytic Structures : Local Theory (PMS-40). |
| title_full_unstemmed | Hypo-Analytic Structures : Local Theory (PMS-40). |
| title_short | Hypo-Analytic Structures : |
| title_sort | hypo analytic structures local theory pms 40 |
| title_sub | Local Theory (PMS-40). |
| topic | Differential equations, Partial. http://id.loc.gov/authorities/subjects/sh85037912 Manifolds (Mathematics) http://id.loc.gov/authorities/subjects/sh85080549 Vector fields. http://id.loc.gov/authorities/subjects/sh85142453 Équations aux dérivées partielles. Variétés (Mathématiques) Champs vectoriels. MATHEMATICS Geometry Differential. bisacsh MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Differential equations, Partial fast Manifolds (Mathematics) fast Vector fields fast |
| topic_facet | Differential equations, Partial. Manifolds (Mathematics) Vector fields. Équations aux dérivées partielles. Variétés (Mathématiques) Champs vectoriels. MATHEMATICS Geometry Differential. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Differential equations, Partial Vector fields |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=790981 |
| work_keys_str_mv | AT trevesfrancois hypoanalyticstructureslocaltheorypms40 |