| Revision as of 12:54, 15 May 2019 editEnyokoyama (talk | contribs)Extended confirmed users2,073 editsm typo← Previous edit | Revision as of 03:37, 2 September 2019 edit undoJJMC89 (talk | contribs)Edit filter managers, Autopatrolled, Administrators345,080 edits no active discussionNext edit → | ||
| Line 1: | Line 1: | ||
| {{dablink|Not to be confused with the common phrase "algebraic analysis of <nowiki></nowiki>", meaning "the algebraic study of <nowiki></nowiki>"}} | {{dablink|Not to be confused with the common phrase "algebraic analysis of <nowiki></nowiki>", meaning "the algebraic study of <nowiki></nowiki>"}} | ||
| {{merge from|Draft:Microfunction|date=March 2019}} | |||
| '''Algebraic analysis''' is an area of ] that deals with systems of linear ]s by using ] and ] to study properties and generalizations of functions such as ]s and microfunctions. As a research programme, it was started by ] in 1959.<ref>{{cite article|title=Professor Mikio Sato and Microlocal Analysis|author1=Masaki Kashiwara|author2=Takahiro Kawai|journal=PRIMS|volume=47|issue=1|year=2011|url=http://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=47&iss=1&rank=2|doi=10.2977/PRIMS/29|via=EMS-PH}}</ref> | '''Algebraic analysis''' is an area of ] that deals with systems of linear ]s by using ] and ] to study properties and generalizations of functions such as ]s and microfunctions. As a research programme, it was started by ] in 1959.<ref>{{cite article|title=Professor Mikio Sato and Microlocal Analysis|author1=Masaki Kashiwara|author2=Takahiro Kawai|journal=PRIMS|volume=47|issue=1|year=2011|url=http://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=47&iss=1&rank=2|doi=10.2977/PRIMS/29|via=EMS-PH}}</ref> | ||
Revision as of 03:37, 2 September 2019
Not to be confused with the common phrase "algebraic analysis of ", meaning "the algebraic study of "Algebraic analysis is an area of mathematics that deals with systems of linear partial differential equations by using sheaf theory and complex analysis to study properties and generalizations of functions such as hyperfunctions and microfunctions. As a research programme, it was started by Mikio Sato in 1959.
Notes
See also
- Hyperfunction
- D-module
- Microlocal analysis
- Generalized function
- Edge-of-the-wedge theorem
- FBI transform
- Localization of a ring
- Vanishing cycle
- Gauss–Manin connection
- Differential algebra
- Perverse sheaf
- Mikio Sato
- Masaki Kashiwara
- Lars Hörmander
Further reading
 | This mathematical analysis–related article is a stub. You can help Misplaced Pages by expanding it. |