Covariant Transform

Details Covariant Transform Covariant Transform

2010-11-17

arxiv.org/abs/1011.3947v2

J. Phys.: Conf. Ser. (2011), v. 284, p. 012038

Mathematics

Functional Analysis

9 pages, LaTeX2e (AMS-LaTeX); v2: minor corrections

Scientific paper

10.1088/1742-6596/284/1/012038

The paper develops theory of covariant transform, which is inspired by the wavelet construction. It was observed that many interesting types of wavelets (or coherent states) arise from group representations which are not square integrable or vacuum vectors which are not admissible. Covariant transform extends an applicability of the popular wavelets construction to classic examples like the Hardy space H_2, Banach spaces, covariant functional calculus and many others. Keywords: Wavelets, coherent states, group representations, Hardy space, Littlewood-Paley operator, functional calculus, Berezin calculus, Radon transform, Moebius map, maximal function, affine group, special linear group, numerical range, characteristic function, functional model.

Affiliated with

Also associated with

No associations

Rating

Covariant 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 Covariant Transform, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Covariant Transform will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-112479