A bound for Feichtinger conjecture
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Abstract:
In this paper, using the discrete Fourier transform in the finite-dimensional Hilbert space C^n, a class of nonRieszable equal norm tight frames is introduced and using this class, a bound for Fiechtinger Conjecture is presented. By the Fiechtinger Conjecture that has been proved recently, for given A,C>0 there exists a universal constant delta>0 independent of $n$ such that every C-equal norm A-tight frame for C^n can be divided into $r$ Riesz basis sequence with lower Riesz basis bound delta. In this paper, it has been shown that r>A/(C^2).
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Journal title
volume 4 issue 3 (Special issue)
pages 45- 53
publication date 2018-07-01
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