Gabor-like systems in $L^2({\bf R}^d)$ and extensions to wavelets

Details Gabor-like systems in $L^2({\bf R}^d)$ and extensions to wavelets Gabor-like systems in $L^2({\bf R}^d)$ and extensions to wavelets

2009-04-06

arxiv.org/abs/0904.0898v1

J. Phys. A, {\bf 41}, DOI: 10.1088/1751-8113/41/33/335208 (2008)

Physics

Mathematical Physics

Scientific paper

10.1088/1751-8113/41/33/335208

In this paper we show how to construct a certain class of orthonormal bases in $L^2({\bf R}^d)$ starting from one or more Gabor orthonormal bases in $L^2({\bf R})$. Each such basis can be obtained acting on a single function $\Psi(\underline x)\in L^2({\bf R}^d)$ with a set of unitary operators which operate as translation and modulation operators {\em in suitable variables}. The same procedure is also extended to frames and wavelets. Many examples are discussed.

Affiliated with

Also associated with

No associations

Rating

Gabor-like systems in $L^2({\bf R}^d)$ and extensions to wavelets 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 Gabor-like systems in $L^2({\bf R}^d)$ and extensions to wavelets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gabor-like systems in $L^2({\bf R}^d)$ and extensions to wavelets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-133189