Concept information
Preferred term
algebraic analysis
Definition(s)
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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. Semantically, it is the application of algebraic operations on analytic quantities. As a research programme, it was started by the Japanese mathematician Mikio Sato 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.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Algebraic_analysis)
Broader concept(s)
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-VF0FV6J8-V
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