Riesz frames and finite-dimensional approaches to problems in frame theory

Ole Christensen

doi:10.1117/12.255228

23 October 1996 Riesz frames and finite-dimensional approaches to problems in frame theory

Ole Christensen

Proceedings Volume 2825, Wavelet Applications in Signal and Image Processing IV; (1996) https://doi.org/10.1117/12.255228
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

The inverse frame operator plays a big role in frame theory. For example we need this operator if we want to calculate the frame coefficients or solve a moment problem. For practical purposes it can be a problem that the frame operator is an operator on a Hilbert space, which usually is infinite dimensional. Our purpose here is to find approximative solutions to the problems above, using finite subsets. We find conditions implying that the approximative solutions converge to the correct solutions. Most of the results concern Riesz frames are to be defined in the paper.

Citation Download Citation

Ole Christensen "Riesz frames and finite-dimensional approaches to problems in frame theory", Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); https://doi.org/10.1117/12.255228

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available