Hyperfunctions on Hypo-Analytic Manifolds

Cordaro, Paulo D.;Treves, Francois

ISBN 10: 069102992X ISBN 13: 9780691029924

Editorial: Ewing, New Jersey, U.S.A.: Princeton Univ Pr, 1994

Idioma: Ingl�s

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Trade paperback in near fine condition.

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Detalles bibliogr�ficos

T�tulo

Hyperfunctions on Hypo-Analytic Manifolds

Editor

Ewing, New Jersey, U.S.A.: Princeton Univ Pr

Fecha de publicaci�n

1994

Idioma

Ingl�s

ISBN 10

069102992X

ISBN 13

9780691029924

Encuadernaci�n

Soft cover

Estado

Near Fine

Cat�logos de vendedores

Mathematics

Acerca de

Sinopsis

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.

Acerca del autor

Fran�ois Treves is the Robert Adrain Professor of Mathematics at Rutgers University. Paulo D. Cordaro is Associate Professor of Mathematics at the University of Sao Paulo in Brazil.

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