Coefficient Quantization for Frames in Banach Spaces

Andras Zsak; E. Odell; P. G. Casazza; S. J. Dilworth; Th.Schlumprecht

arxiv: 0711.2484 · v1 · pith:MBRFNJBCnew · submitted 2007-11-15 · 🧮 math.FA · math.MG

Coefficient Quantization for Frames in Banach Spaces

P. G. Casazza , S. J. Dilworth , E. Odell , Th.Schlumprecht , Andras Zsak This is my paper

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keywords banachcombinationsframeslinearspacessystemwillapproximating

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Let $(e_i)$ be a fundamental system of a Banach space. We consider the problem of approximating linear combinations of elements of this system by linear combinations using quantized coefficients. We will concentrate on systems which are possibly redundant. Our model for this situation will be frames in Banach spaces.

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Coefficient Quantization for Frames in Banach Spaces

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