Open Access
2000 THE ART OF FRAME THEORY
Peter G. Casazza
Taiwanese J. Math. 4(2): 129-201 (2000). DOI: 10.11650/twjm/1500407227

Abstract

The theory of frames for a Hilbert space plays a fundamental role in signal processing, image processing, data compression, sampling theory and more, as well as being a fruitful area of research in abstract mathematics. In this “tutorial” on abstract frame theory, we will try to point out the major directions of research in abstract frame theory and give some sample techniques from each of the areas. We will also bring out some of the important open questions, discuss some of the limitations of the existing theory, and point to some new directions for research.

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Peter G. Casazza. "THE ART OF FRAME THEORY." Taiwanese J. Math. 4 (2) 129 - 201, 2000. https://doi.org/10.11650/twjm/1500407227

Information

Published: 2000
First available in Project Euclid: 18 July 2017

zbMATH: 0966.42022
MathSciNet: MR1757401
Digital Object Identifier: 10.11650/twjm/1500407227

Subjects:
Primary: 42A38 , 42C15

Keywords: (Gabor) frame , Fourier series , Hilbert space , linear operator , perturbation , Riesz basis , Weyl-Heisenberg system

Rights: Copyright © 2000 The Mathematical Society of the Republic of China

Vol.4 • No. 2 • 2000
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