Word.ws English Dictionary

algebraic analysis

algebraic analysis noun: 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).

Noun

algebraic analysis (uncountable)

  1. 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, https://books.google.com.au/books?id=qYUrDgAAQBAJ&printsec=frontcover&dq=%22algebraic+analysis%22&hl=en&newbks=1&newbks_redir=0&sa=X&ved=2ahUKEwiK5MSlvsLsAhWX...
    • In their classical work [123], Kashiwara, Kawai, and Kimura pointedly observe that the Japanese algebraic analysis is really the algebraic analysis in the tradition of Euler; we may add that what we mean by algebraic microlocal analysis is the successful attempt to adapt the methods of abstract...1999, Goro Kato, Daniele C. Struppa, Fundamentals of Algebraic Microlocal Analysis, Marcel Dekker, page v
  2. Used other than figuratively or idiomatically: see algebraic, analysis.; the use of techniques from algebra (especially elementary algebra) to analyse and solve problems.

Origin of algebraic analysis

The area of study in algebraic geometry began as a research programme, instigated in 1959 by Japanese mathematician Mikio Sato.

Questions about algebraic analysis

What does algebraic analysis mean?
Algebraic analysis means 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).
What part of speech is algebraic analysis?
Algebraic analysis is a noun.

Words near algebraic analysis in the dictionary

  1. algazels
  2. algebra
  3. algebra over a field
  4. algebra over a ring
  5. algebraic
  6. algebraic analysis
  7. algebraic closure
  8. algebraic closure operator
  9. algebraic closures
  10. algebraic combinatorics
  11. algebraic curve

Source and license

Adapted from Wiktionary: algebraic analysis (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “algebraic analysis.” Word.ws, https://word.ws/algebraic_analysis. Based on Wiktionary, CC BY-SA 4.0.