| Revision as of 22:46, 10 March 2019 editLegacypac (talk | contribs)Extended confirmed users, Pending changes reviewers158,031 edits Legacypac moved page Draft:Microfunction to Microfunction: Makes a good redirect if mergedTag: New redirect← Previous edit | Revision as of 22:54, 10 March 2019 edit undoTakuyaMurata (talk | contribs)Extended confirmed users, IP block exemptions, Pending changes reviewers89,986 editsm TakuyaMurata moved page Microfunction to Draft:Microfunction over redirect: still need a better lead Next edit → | ||
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| Let ''M'' be a real-analytic manifold and ''X'' its complexification. | |||
| 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''. | |||
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| == References == | |||
| *] and ]: ''Sheaves on Manifolds.'' Springer-Verlag. Berlin Heidelberg New York.1990: {{ISBN|3-540-51861-4}}. | |||
| {{analysis-stub}} | |||
Revision as of 22:54, 10 March 2019
 | It has been suggested that this page be merged into Algebraic analysis. (Discuss) Proposed since March 2019. |
Let M be a real-analytic 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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