Hyperfunctions on Hypo-Analytic Manifolds {AM - 136} (Annals of Mathematics Studies, 136) - Image 1

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Princeton University Press Hyperfunctions on Hypo-Analytic Manifolds {AM - 136} (Annals of Mathematics Studies, 136)

Name: Hyperfunctions on Hypo-Analytic Manifolds {AM - 136} (Annals of Mathematics Studies, 136)
Brand: Princeton University Press
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Functional Analysis

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Description

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.

Product Specifications

Brand: Princeton University Press
Format: paperback
ASIN: 069102992X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Functional Analysis
Domain: Amazon UK
Publication Date: 23 October 1994
Listed Since: 10 December 2006

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Princeton University Press Hyperfunctions on Hypo-Analytic Manifolds {AM - 136} (Annals of Mathematics Studies, 136)

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