algebraic analysis

== English == === Etymology === The area of study in algebraic geometry began as a research programme, instigated in 1959 by Japanese mathematician Mikio Sato. === Noun === algebraic analysis (uncountable) (algebraic geometry, algebraic topology) The study of systems of linear partial differential equations, using techniques from sheaf theory and complex analysis to examine functions and certain generalisations of functions (such as hyperfunctions and microfunctions). 1986, Goro Kato (translator), Masaki Kashiwara, Takahiro Kawai, Tatsuo Kimura, Foundations of Algebraic Analysis, Princeton University Press, [1]. 2008, Yoshitsugu Takei, The work of T. Kawai on exact WKB analysis, T. Aoki, H. Majima, Y. Takei, N. Tose (editors), Algebraic Analysis of Differential Equations, Springer, page 19, Thus Kawai has been engaged mainly in the research of exact WKB analysis or algebraic analysis of singular perturbation theory since 1989. Used other than figuratively or idiomatically: see algebraic,‎ analysis.; the use of techniques from algebra (especially elementary algebra) to analyse and solve problems. ==== Translations ==== === Further reading === D-module on Wikipedia.Wikipedia Hyperfunction on Wikipedia.Wikipedia Microlocal analysis on Wikipedia.Wikipedia