Oversampling generates super-wavelets-Reference-Cited by-同舟云学术

Oversampling generates super-wavelets

Published:2007-02-06 Issue:7 Volume:135 Page:2219-2227
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Dutkay Dorin,Jorgensen Palle

Abstract

We show that the second oversampling theorem for affine systems generates super-wavelets. These are frames generated by an affine structure on the space L 2 ( R d ) ⊕ . . . ⊕ L 2 ( R d ) ⏟ p times \underbrace {L^2(\mathbb {R}^d) \oplus ...\oplus L^2(\mathbb {R}^d)}_{p\ \mbox {times}} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2007-135-07/S0002-9939-07-08724-2/S0002-9939-07-08724-2.pdf

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