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q-Frames and Bessel Functions
Journal article   Peer reviewed

q-Frames and Bessel Functions

P. E. T Jorgensen and A. M Paolucci
Numerical Functional Analysis and Optimization: Operator Algebras and Representation Theory: Frames, Wavelets, and Fractals, Vol.33(7-9), pp.1063-1069
07/01/2012
DOI: 10.1080/01630563.2012.682139

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Abstract

A construction of frames is found depending on a parameter q by using Bessel functions. This is done via Cuntz algebras representations on . We combine the use of q-hypergeometric functions with representation theory for the Cuntz relations in constructing explicit and iterative bases and frames in the Hilbert space .
Frame estimates Cuntz algebras Orthonormal bases q-Hypergeometric functions

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