23/03/04 19:00:38.23 JhTBBGo5.net
>>12
>>下記”microlocal”は、佐藤の”microlocal”か？
溝畑のmicrolacalでもある。
Microlocal analysis considers (generalized, hyper-) functions, operators, etc. in the "microlocal" range. Here, "microlocal" means seeing the matter more locally than usual by introducing the (cotangential) direction at every point. In Fourier analysis it corresponds to viewing things locally in both x
and ξ
. In view of the uncertainty principle, this is possible only by considering the objects modulo regular parts. This idea was first used in the study of pseudo-differential operators by P.D. Lax, S. Mizohata, L. Hörmander, etc. V.P. Maslov has enriched the theory by the introduction of a canonical structure. M. Sato has constructed the sheaf of micro-functions on the cotangent sphere bundle S∗M
of the base space M
as the basic object of microlocal analysis.