Asymptotic Hyperfunctions, Tempered Hyperfunctions, and Asymptotic Expansions

Details Asymptotic Hyperfunctions, Tempered Hyperfunctions, and Asymptotic Expansions Asymptotic Hyperfunctions, Tempered Hyperfunctions, and Asymptotic Expansions

2001-07-07

arxiv.org/abs/math/0107058v3

International Journal of Mathematics and Mathematical Sciences 2005:5 (2005) 755-788

Mathematics

Functional Analysis

31 pages, 1 figure, typos corrected, references added

Scientific paper

10.1155/IJMMS.2005.755

We introduce new subclasses of Fourier hyperfunctions of mixed type, satisfying polynomial growth conditions at infinity, and develop their sheaf and duality theory. We use Fourier transformation and duality to examine relations of these 'asymptotic' and 'tempered' hyperfunctions to known classes of test functions and distributions, especially the Gelfand-Shilov-Spaces. Further it is shown that the asymptotic hyperfunctions, which decay faster than any negative power, are precisely the class that allow asymptotic expansions at infinity. These asymptotic expansions are carried over to the higher-dimensional case by applying the Radon transformation for hyperfunctions.

Affiliated with

Also associated with

No associations

Rating

Asymptotic Hyperfunctions, Tempered Hyperfunctions, and Asymptotic Expansions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Asymptotic Hyperfunctions, Tempered Hyperfunctions, and Asymptotic Expansions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic Hyperfunctions, Tempered Hyperfunctions, and Asymptotic Expansions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-362612