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Construction of approximate dual wavelet frames

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Abstract

This paper presents a computationally realizable approach for the construction of an approximate dual wavelet frame. We are considering wavelet frames on the real line obtained by appropriate translation and dilation of a single given atom. We show asymptotic results in operator norm. Also we present numerical results to demonstrate the realizability of the approximation.

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Correspondence to Darian M. Onchis.

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Communicated by: Tomas Sauer

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Feichtinger, H.G., Onchis, D.M. & Wiesmeyr, C. Construction of approximate dual wavelet frames. Adv Comput Math 40, 273–282 (2014). https://doi.org/10.1007/s10444-013-9307-2

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