Algebraic analysis: Difference between revisions
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{{dablink|The phrase "algebraic analysis of " is often used as a synonym for "algebraic study of", however this article is about a combination of [[algebraic topology]], [[algebraic geometry]] and [[complex analysis]] started by [[Mikio Sato]] in 1959.}} |
{{dablink|The phrase "algebraic analysis of " is often used as a synonym for "algebraic study of", however this article is about a combination of [[algebraic topology]], [[algebraic geometry]] and [[complex analysis]] started by [[Mikio Sato]] in 1959.}}<ref>Professor Mikio Sato and Microlocal Analysis Masaki Kashiwara and Takahiro Kawa PRIMS Volume 47, Issue 1, 2011 http://www.ems-ph.org/journals/show_abstract.php?issn=0034-5318&vol=47&iss=1&rank=2&srch=searchterm%7CMikio+Sato</ref> |
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'''Algebraic analysis''' is an area of [[mathematics]] that deals with systems of linear [[partial differential equation]]s by using [[sheaf theory]] and complex analysis to study properties and generalizations of functions such as [[hyperfunction]]s and microfunctions. |
'''Algebraic analysis''' is an area of [[mathematics]] that deals with systems of linear [[partial differential equation]]s by using [[sheaf theory]] and complex analysis to study properties and generalizations of functions such as [[hyperfunction]]s and microfunctions. |
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== Notes == |
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{{Reflist}} |
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==See also== |
==See also== |
Revision as of 06:25, 21 June 2017
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.
Notes
- ^ Professor Mikio Sato and Microlocal Analysis Masaki Kashiwara and Takahiro Kawa PRIMS Volume 47, Issue 1, 2011 http://www.ems-ph.org/journals/show_abstract.php?issn=0034-5318&vol=47&iss=1&rank=2&srch=searchterm%7CMikio+Sato
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