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Frames for decomposition spaces generated by a single function

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Abstract

In this paper we present a construction of frames generated by a single band-limited function for decomposition smoothness spaces on \(\mathbb R ^d\) of modulation and Triebel–Lizorkin type. A perturbation argument is then used to construct compactly supported frame generators.

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  1. Personal communication.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Aalborg University, Fredrik Bajersvej 7G, 9220 , Aalborg East, Denmark

    Morten Nielsen

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  1. Morten Nielsen
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Correspondence to Morten Nielsen.

Additional information

Supported by the Danish Council for Independent Research. Natural Sciences, Grant 12-124675, “Mathematical and Statistical Analysis of Spatial Data”

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Nielsen, M. Frames for decomposition spaces generated by a single function. Collect. Math. 65, 183–201 (2014). https://doi.org/10.1007/s13348-013-0091-6

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