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008140719s2014 nju s 000 0 eng d
020 ▼a 9781400862887 ▼q (electronic bk.)
020 ▼a 1400862884 ▼q (electronic bk.)
0247 ▼a 10.1515/9781400862887 ▼2 doi
035 ▼a (OCoLC)884012968
037 ▼a 22573/ctt73668h ▼b JSTOR
040 ▼a EBLCP ▼b eng ▼c EBLCP ▼d JSTOR ▼d OCLCO ▼d IDEBK ▼d DEBSZ ▼d OCLCQ ▼d OCLCF ▼d YDXCP ▼d OCLCQ ▼d N$T ▼d OCLCO ▼d COO ▼d 224010 ▼d OCLCQ ▼e pn
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
08204 ▼a 515.353 ▼2 22
090 ▼a 515.353
1001 ▼a Treves, Francois.
24510 ▼a Hypo-Analytic Structures ▼h [electronic resource]: ▼b Local Theory (PMS-40) / ▼c Francois Treves.
260 ▼a Princeton: ▼b Princeton University Press, ▼c 2014.
300 ▼a 1 online resource (516 pages).
4901 ▼a Princeton Mathematical Series ; ▼v v. 40
500 ▼a Cover; Contents.
50500 ▼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.
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.
546 ▼a In English.
650 0 ▼a Differential equations, Partial.
650 0 ▼a Manifolds (Mathematics)
650 0 ▼a Vector fields.
650 4 ▼a Differential equations, Partial.
650 4 ▼a Manifolds (Mathematics)
650 4 ▼a Vector fields.
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 ▼0 (OCoLC)fst00893484
650 7 ▼a Manifolds (Mathematics) ▼2 fast ▼0 (OCoLC)fst01007726
650 7 ▼a Vector fields. ▼2 fast ▼0 (OCoLC)fst01164665
655 4 ▼a Electronic books.
77608 ▼i Print version: ▼a Treves, Franc偈ois. ▼t Hypo-Analytic Structures : Local Theory (PMS-40). ▼d Princeton : Princeton University Press, 짤2014
830 0 ▼a Princeton mathematical series.
85640 ▼u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=790981