Hyperfunctions on Hypo-Analytic Manifolds
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Hyperfunctions on Hypo-Analytic Manifolds by Paulo D. Cordaro
Book DescriptionIn 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.
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Book DetailsISBN: 9780691029924
(229mm x 152mm x 20mm)
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 3-Oct-1994
Country of Publication: United States
Books By Author Paulo D. Cordaro
Introduction to Involutive Structures, Hardback (March 2008)» View all books by Paulo D. Cordaro
The main tools of involutive systems of complex vector fields together with the major results from last twenty five years.
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