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Concept information

mathematical analysis > complex analysis > algebraic analysis
... > mathematical analysis > equation > functional equation > differential equation > partial differential equation > algebraic analysis
... > mathematical analysis > calculus > differential calculus > differential equation > partial differential equation > algebraic analysis

Terme préférentiel

algebraic analysis  

Définition

  • 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)

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http://data.loterre.fr/ark:/67375/PSR-VF0FV6J8-V

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RDF/XML TURTLE JSON-LD Date de création 24/08/2023, dernière modification le 24/08/2023