Holomorphic Sobolev spaces, Hermite ans special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform

Details Holomorphic Sobolev spaces, Hermite ans special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform Holomorphic Sobolev spaces, Hermite ans special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform

2007-10-18

arxiv.org/abs/0710.3481v1

Mathematics

Functional Analysis

17 pages

Scientific paper

The images of Hermite and Laguerre Sobolev spaces under the Hermite and
special Hermite semigroups (respectively) are characterised. These are used to
characterise the Schwartz class of rapidly decreasing functions. The image of
the space of all tempered distributions is also considered and a Paley-Wiener
theorem for the windowed Fourier transform is proved.

Affiliated with

Also associated with

No associations

Rating

Holomorphic Sobolev spaces, Hermite ans special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform 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 Holomorphic Sobolev spaces, Hermite ans special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Holomorphic Sobolev spaces, Hermite ans special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-461128