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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Bibliographic Details

Main Authors:	Cordaro, Paulo Domingos (Author), Trèves, François 1930- (Author)
Format:	Electronic eBook
Language:	English
Published:	Princeton, NJ Princeton University Press [1995]
Series:	Annals of Mathematics Studies number 136
Subjects:	Hyperfunctions Submanifolds Hyperfunktion Untermannigfaltigkeit
Online Access:	Volltext
Summary:	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
Item Description:	Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016)
Physical Description:	1 online resource
ISBN:	9781400882564
DOI:	10.1515/9781400882564