| Revision as of 22:30, 16 September 2019 editHasteur (talk | contribs)31,857 edits Enacting Misplaced Pages:Miscellany for deletion/Draft:Microfunction and proposals on this page. Previous content is in history to allow for merging content appropriate to Algebraic analysisTag: New redirect← Previous edit | Revision as of 22:55, 16 September 2019 edit undoTakuyaMurata (talk | contribs)Extended confirmed users, IP block exemptions, Pending changes reviewers89,986 edits Undid revision 916083558 by Hasteur (talk) the result was keepTags: Removed redirect UndoNext edit → | ||
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| {{AFC comment|1=If it needs a better lede wrote the lede. Don't move war. Don't resist a merge. This page was up for G13 as abandoned. Do something with it. ] (]) 23:08, 10 March 2019 (UTC)}} | |||
| #REDIRECT ] | |||
| :I'm not resisting the merger; I was unaware of the past MfD discussion. Not just the lead but the definition is also missing; in short, more work is needed. -- ] (]) 23:11, 10 March 2019 (UTC) | |||
| {{merge to|Algebraic analysis|date=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. | |||
| A microfunction can be used to define a hyper function. 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 == | |||
| *] and ]: ''Sheaves on Manifolds.'' Springer-Verlag. Berlin Heidelberg New York.1990: {{ISBN|3-540-51861-4}}. | |||
| {{analysis-stub}} | |||
Revision as of 22:55, 16 September 2019
Comment: If it needs a better lede wrote the lede. Don't move war. Don't resist a merge. This page was up for G13 as abandoned. Do something with it. Legacypac (talk) 23:08, 10 March 2019 (UTC)
- I'm not resisting the merger; I was unaware of the past MfD discussion. Not just the lead but the definition is also missing; in short, more work is needed. -- Taku (talk) 23:11, 10 March 2019 (UTC)
 | 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.
A microfunction can be used to define a hyper function. 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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