| Revision as of 22:54, 10 March 2019 editTakuyaMurata (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 ← Previous edit | Revision as of 22:57, 10 March 2019 edit undoTakuyaMurata (talk | contribs)Extended confirmed users, IP block exemptions, Pending changes reviewers89,986 edits →top: explain why it's not readyNext edit → | ||
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| {{merge to|Algebraic analysis|date=March 2019}} | {{merge to|Algebraic analysis|date=March 2019}} | ||
| Note: This draft still doesn't define microfunction and not quite ready to be in mainspace. | |||
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| Let ''M'' be a real-analytic manifold and ''X'' its complexification. | 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''. | 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 22:57, 10 March 2019
 | It has been suggested that this page be merged into Algebraic analysis. (Discuss) Proposed since March 2019. |
Note: This draft still doesn't define microfunction and not quite ready to be in mainspace.
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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