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in 1959. This can be seen as an algebraic geometrization of analysis. It derives its meaning from the fact that the differential operator is right-invertible in several function spaces.
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and microfunctions. Semantically, it is the application of algebraic operations on analytic quantities. As a research programme, it was started by the
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It helps in the simplification of the proofs due to an algebraic description of the problem considered.
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Not to be confused with the common phrase "algebraic analysis of ", meaning "the algebraic study of "
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232:{\displaystyle {\mathcal {H}}^{n}(\mu _{M}({\mathcal {O}}_{X})\otimes {\mathcal {or}}_{M/X})}
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Technique of studying linear partial differential equations
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133:be its complexification. The sheaf of
313:{\displaystyle {\mathcal {or}}_{M/X}}
42:linear partial differential equations
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352:is the restriction of the sheaf of
592:. You can help Knowledge (XXG) by
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659:Partial differential equations
332:. By definition, the sheaf of
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470:Kashiwara & Schapira 1990
669:Mathematical analysis stubs
529:. Berlin: Springer-Verlag.
40:that deals with systems of
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458:Kashiwara & Kawai 2011
322:relative orientation sheaf
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394:Edge-of-the-wedge theorem
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265:{\displaystyle \mu _{M}}
346:real-analytic functions
588:–related article is a
414:Gauss–Manin connection
404:Localization of a ring
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654:Generalized functions
586:mathematical analysis
354:holomorphic functions
334:Sato's hyperfunctions
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527:Sheaves on Manifolds
472:, Definition 11.5.1.
419:Differential algebra
389:Generalized function
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135:microlocal functions
521:Kashiwara, Masaki;
516:– via EMS-PH.
384:Microlocal analysis
639:Algebraic analysis
557:2012-02-25 at the
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90:. You can help by
34:Algebraic analysis
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488:Kashiwara, Masaki
460:, pp. 11–17.
120:analytic manifold
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16:(Redirected from
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38:mathematics
633:Categories
429:Mikio Sato
129:, and let
62:Mikio Sato
445:Citations
254:μ
199:⊗
170:μ
124:dimension
54:functions
44:by using
555:Archived
525:(1990).
494:(2011).
379:D-module
368:See also
56:such as
480:Sources
320:is the
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242:where
584:This
114:be a
590:stub
531:ISBN
116:real
110:Let
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