Characterizations of Irregular Multigenerator Gabor Frame on Periodic Subsets of ℝ

D. H. Yuan, Y. Feng, Y. F. Shen and S. Z. Yang

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We consider the multigenerator system {EmblTnalφl,m,n ∈ ℤ, l = 0, …, r − 1} for φ0, …, φr−1 ∈ L2(𝕊) and a0, b0, …, ar−1, br−1 > 0, where the parameters b0, …, br−1 > 0 are not necessary the same. With the help of frame theory, we provide some sufficient or necessary conditions for the system to be a frame for L2(𝕊). Moreover, we present some characterizations for this system to be a Parseval frame.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:746823

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