Perturbation Theorems for Regular Sampling in Wavelet Subspaces
Abstract
A perturbation theorem for regular sampling in the Paley-Wiener space, also known as the Kadec -theorem, states that if is a sequence of real numbers for which , then any entire function of exponential type at most can be recovered from its samples . Kadec-type theorems for irregular sampling in wavelet subspaces have been discussed in several papers. However, the optimal value of is found only in the Franklin spline wavelet subspace. This paper aims to find a better bound for in the Kadec-type theorem for wavelet subspaces along with sampling bounds.
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- Perturbation Theorems for Regular Sampling in Wavelet Subspaces
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Publication History
Published: 01 December 2022
Accepted: 10 November 2022
Received: 01 March 2022
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