23 October 1996 Riesz frames and finite-dimensional approaches to problems in frame theory
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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.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Ole Christensen, 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); doi: 10.1117/12.255228; https://doi.org/10.1117/12.255228
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