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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Hyperfunctions on Hypo-Analytic Manifolds

Hyperfunctions on Hypo-Analytic Manifolds

Treves, François
Cordaro, Paulo D.

Paperback

Series: Annals of Mathematics Studies, Book 136

General MathematicsGeometry

ISBN10: 069102992X
ISBN13: 9780691029924
Publisher: Princeton University Press
Published: Oct 23 1994
Pages: 378
Weight: 1.21
Height: 0.97 Width: 6.08 Depth: 9.23
Language: English

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.

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