Hyperfunctions on Hypo-Analytic Manifolds {AM - 136} pdf epub mobi txt 电子书下载 2024

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Paulo Cordaro

Princeton University Press

1994-10-03

398

USD 79.00

Paperback

9780691029924

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发表于2024-11-28

Hyperfunctions on Hypo-Analytic Manifolds {AM - 136} epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Hyperfunctions on Hypo-Analytic Manifolds {AM - 136} pdf epub mobi txt 电子书下载 2024

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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. This 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.

Hyperfunctions on Hypo-Analytic Manifolds {AM - 136} 下载 mobi epub pdf txt 电子书