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| Let ''M'' be a real manifold and ''X'' its complexification. | Let ''M'' be a real manifold and ''X'' its complexification. | ||
| By definition, the sheaf of ]s on ''M'' is the restriction of the sheaf of microfunctions to ''M''. | By definition, the sheaf of ]s on ''M'' is the restriction of the sheaf of microfunctions to ''M'', in parallel to the fact the sheaf of real-analytic functions on ''M'' is the restriction of the sheaf of holomorphic functions on ''X'' to ''M''. | ||
| == References == | == References == | ||
Revision as of 23:21, 26 October 2015
Let M be a real manifold and X its complexification.
By definition, the sheaf of Sato's hyperfunctions on M is the restriction of the sheaf of microfunctions to M, in parallel to the fact the sheaf of real-analytic functions on M is the restriction of the sheaf of holomorphic functions on X to M.
References
- Masaki Kashiwara and Pierre Schapira: Sheaves on Manifolds. Springer-Verlag. Berlin Heidelberg New York.1990: ISBN 3-540-51861-4.
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