Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves.
In the first two chapters of this book, the reader will find a complete and systematic exposition of the theory of hyperfunctions on totally real submanifolds of multidimensional complex space, in particular of hyperfunction theory in real space. The book provides precise definitions of the hypo-ana...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1995 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
136 |
| Online Access: | |
| Physical Description: | 1 online resource (378 p.) |
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| LEADER | 07789nam a22019455i 4500 | ||
|---|---|---|---|
| 001 | 9781400882564 | ||
| 003 | DE-B1597 | ||
| 005 | 20220131112047.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr || |||||||| | ||
| 008 | 220131t20161995nju fo d z eng d | ||
| 019 | |a (OCoLC)990523682 | ||
| 020 | |a 9781400882564 | ||
| 024 | 7 | |a 10.1515/9781400882564 |2 doi | |
| 035 | |a (DE-B1597)467920 | ||
| 035 | |a (OCoLC)954123835 | ||
| 040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a nju |c US-NJ | ||
| 050 | 4 | |a QA324 |b .C67 1994 | |
| 072 | 7 | |a MAT012010 |2 bisacsh | |
| 082 | 0 | 4 | |a 515/.782 |2 20 |
| 100 | 1 | |a Cordaro, Paulo, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / |c Paulo Cordaro, François Treves. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2016] | |
| 264 | 4 | |c ©1995 | |
| 300 | |a 1 online resource (378 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Annals of Mathematics Studies ; |v 136 | |
| 505 | 0 | 0 | |t Frontmatter -- |t CONTENTS -- |t PREFACE -- |t 0.1 BACKGROUND ON SHEAVES OF VECTOR SPACES OVER A MANIFOLD -- |t 0.2 BACKGROUND ON SHEAF COHOMOLOGY -- |t CHAPTER I. HYPERFUNCTION S IN A MAXIMAL HYPO-ANALYTIC STRUCTURE -- |t CHAPTER II. MICROLOCAL THEORY OF HYPERFUNCTIONS ON A MAXIMALLY REAL SUBMANIFOLD OF COMPLEX SPACE -- |t CHAPTER III. HYPERFUNCTION SOLUTIONS IN A HYPO-ANALYTIC MANIFOLD -- |t CHAPTER IV. TRANSVERSAL SMOOTHNESS OF HYPERFUNCTION SOLUTIONS -- |t HISTORICAL NOTES -- |t BIBLIOGRAPHICAL REFERENCES -- |t INDEX OF TERMS |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a In the first two chapters of this book, the reader will find a complete and systematic exposition of the theory of hyperfunctions on totally real submanifolds of multidimensional complex space, in particular of hyperfunction theory in real space. The book provides precise definitions of the hypo-analytic wave-front set and of the Fourier-Bros-Iagolnitzer transform of a hyperfunction. These are used to prove a very general version of the famed Theorem of the Edge of the Wedge. The last two chapters define the hyperfunction solutions on a general (smooth) hypo-analytic manifold, of which particular examples are the real analytic manifolds and the embedded CR manifolds. The main results here are the invariance of the spaces of hyperfunction solutions and the transversal smoothness of every hyperfunction solution. From this follows the uniqueness of solutions in the Cauchy problem with initial data on a maximally real submanifold, and the fact that the support of any solution is the union of orbits of the structure. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) | |
| 650 | 0 | |a Hyperfunctions. | |
| 650 | 0 | |a Submanifolds. | |
| 650 | 7 | |a MATHEMATICS / Geometry / Algebraic. |2 bisacsh | |
| 653 | |a Alexander Grothendieck. | ||
| 653 | |a Analytic function. | ||
| 653 | |a Analytic manifold. | ||
| 653 | |a Borel transform. | ||
| 653 | |a Boundary value problem. | ||
| 653 | |a Bounded function. | ||
| 653 | |a Bounded set (topological vector space). | ||
| 653 | |a Bounded set. | ||
| 653 | |a C0. | ||
| 653 | |a CR manifold. | ||
| 653 | |a Cauchy problem. | ||
| 653 | |a Codimension. | ||
| 653 | |a Coefficient. | ||
| 653 | |a Cohomology. | ||
| 653 | |a Compact space. | ||
| 653 | |a Complex manifold. | ||
| 653 | |a Complex number. | ||
| 653 | |a Complex space. | ||
| 653 | |a Connected space. | ||
| 653 | |a Continuous function (set theory). | ||
| 653 | |a Continuous function. | ||
| 653 | |a Convex set. | ||
| 653 | |a Convolution. | ||
| 653 | |a Cotangent bundle. | ||
| 653 | |a Counterexample. | ||
| 653 | |a De Rham cohomology. | ||
| 653 | |a Dense set. | ||
| 653 | |a Differential operator. | ||
| 653 | |a Disjoint union. | ||
| 653 | |a Domain of a function. | ||
| 653 | |a Eigenvalues and eigenvectors. | ||
| 653 | |a Embedding. | ||
| 653 | |a Entire function. | ||
| 653 | |a Equation. | ||
| 653 | |a Equivalence class. | ||
| 653 | |a Equivalence relation. | ||
| 653 | |a Euclidean space. | ||
| 653 | |a Existential quantification. | ||
| 653 | |a Exterior algebra. | ||
| 653 | |a Exterior derivative. | ||
| 653 | |a Fiber bundle. | ||
| 653 | |a Fourier transform. | ||
| 653 | |a Function space. | ||
| 653 | |a Functional analysis. | ||
| 653 | |a Fundamental solution. | ||
| 653 | |a Harmonic function. | ||
| 653 | |a Holomorphic function. | ||
| 653 | |a Homomorphism. | ||
| 653 | |a Hyperfunction. | ||
| 653 | |a Hypersurface. | ||
| 653 | |a Infimum and supremum. | ||
| 653 | |a Integration by parts. | ||
| 653 | |a Laplace's equation. | ||
| 653 | |a Limit of a sequence. | ||
| 653 | |a Linear map. | ||
| 653 | |a Linear space (geometry). | ||
| 653 | |a Linear subspace. | ||
| 653 | |a Locally convex topological vector space. | ||
| 653 | |a Mathematical induction. | ||
| 653 | |a Montel space. | ||
| 653 | |a Montel's theorem. | ||
| 653 | |a Morphism. | ||
| 653 | |a Neighbourhood (mathematics). | ||
| 653 | |a Norm (mathematics). | ||
| 653 | |a Open set. | ||
| 653 | |a Partial derivative. | ||
| 653 | |a Partial differential equation. | ||
| 653 | |a Polytope. | ||
| 653 | |a Presheaf (category theory). | ||
| 653 | |a Pullback (category theory). | ||
| 653 | |a Pullback. | ||
| 653 | |a Quotient space (topology). | ||
| 653 | |a Radon measure. | ||
| 653 | |a Real structure. | ||
| 653 | |a Riemann sphere. | ||
| 653 | |a Serre duality. | ||
| 653 | |a Several complex variables. | ||
| 653 | |a Sheaf (mathematics). | ||
| 653 | |a Sheaf cohomology. | ||
| 653 | |a Singular integral. | ||
| 653 | |a Sobolev space. | ||
| 653 | |a Special case. | ||
| 653 | |a Submanifold. | ||
| 653 | |a Subsequence. | ||
| 653 | |a Subset. | ||
| 653 | |a Summation. | ||
| 653 | |a Tangent bundle. | ||
| 653 | |a Theorem. | ||
| 653 | |a Topology of uniform convergence. | ||
| 653 | |a Topology. | ||
| 653 | |a Transitive relation. | ||
| 653 | |a Transpose. | ||
| 653 | |a Transversal (geometry). | ||
| 653 | |a Uniform convergence. | ||
| 653 | |a Uniqueness theorem. | ||
| 653 | |a Vanish at infinity. | ||
| 653 | |a Variable (mathematics). | ||
| 653 | |a Vector bundle. | ||
| 653 | |a Vector field. | ||
| 653 | |a Wave front set. | ||
| 700 | 1 | |a Treves, François, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Annals of Mathematics eBook-Package 1940-2020 |z 9783110494914 |o ZDB-23-PMB |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
| 776 | 0 | |c print |z 9780691029924 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400882564 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781400882564 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9781400882564/original |
| 912 | |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999 |c 1927 |d 1999 | ||
| 912 | |a EBA_BACKALL | ||
| 912 | |a EBA_CL_MTPY | ||
| 912 | |a EBA_EBACKALL | ||
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| 912 | |a EBA_EEBKALL | ||
| 912 | |a EBA_ESTMALL | ||
| 912 | |a EBA_PPALL | ||
| 912 | |a EBA_STMALL | ||
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| 912 | |a ZDB-23-PMB |c 1940 |d 2020 | ||