Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves.

• Superior document: Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
• VerfasserIn: Cordaro, Paulo,; Treves, François,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2016]; ©1995
• Year of Publication: 2016
• Language: English
• Series: Annals of Mathematics Studies ; 136
• Physical Description: 1 online resource (378 p.)
• Other title: Frontmatter --; CONTENTS --; PREFACE --; 0.1 BACKGROUND ON SHEAVES OF VECTOR SPACES OVER A MANIFOLD --; 0.2 BACKGROUND ON SHEAF COHOMOLOGY --; CHAPTER I. HYPERFUNCTION S IN A MAXIMAL HYPO-ANALYTIC STRUCTURE --; CHAPTER II. MICROLOCAL THEORY OF HYPERFUNCTIONS ON A MAXIMALLY REAL SUBMANIFOLD OF COMPLEX SPACE --; CHAPTER III. HYPERFUNCTION SOLUTIONS IN A HYPO-ANALYTIC MANIFOLD --; CHAPTER IV. TRANSVERSAL SMOOTHNESS OF HYPERFUNCTION SOLUTIONS --; HISTORICAL NOTES --; BIBLIOGRAPHICAL REFERENCES --; INDEX OF TERMS
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9781400882564; 9783110494914; 9783110442496
• DOI: 10.1515/9781400882564
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: 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-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.