nLab
algebraic microlocalization

Idea

An analogue of the microlocalization in operator theory, T. Springer has introduced an algebraic microlocalization in the theory of filtered noncommutative rings.

microlocal analysis using hyperfunctions instead of Schwartz distributions? is also called algebraic microlocal analysis.

References

An alterantive way to algebraic microlocalization is given in

• Maria J. Asensio, Michel Van Den Bergh, Freddy Van Oystaeyen, A new algebraic approach to microlocalization of filtered rings, Trans. Amer. Math. Soc. 316, 2 (Dec. 1989) 537–553 jstor

An introduction to the microlocal analysis of hyperfunctions is this:

• Goro Kato, Daniele C. Struppa: Fundamentals of algebraic microlocal analysis (ZMATH entry)