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Draft:Microfunction

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This is an old revision of this page, as edited by TakuyaMurata (talk | contribs) at 23:18, 10 March 2019 (top). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

Revision as of 23:18, 10 March 2019 by TakuyaMurata (talk | contribs) (top)(diff) ← Previous revision | Latest revision (diff) | Newer revision → (diff)

  • 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. "Do something"? Like any other draft, the draft will be incorporated into mainspace when it's ready. -- 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

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