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2020 | OriginalPaper | Buchkapitel

A Survey on the Unconditional Convergence and the Invertibility of Frame Multipliers with Implementation

verfasst von : Diana T. Stoeva, Peter Balazs

Erschienen in: Sampling: Theory and Applications

Verlag: Springer International Publishing

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Abstract

The paper presents a survey over frame multipliers and related concepts. In particular, it includes a short motivation of why multipliers are of interest to consider, a review as well as extension of recent results, devoted to the unconditional convergence of multipliers, sufficient and/or necessary conditions for the invertibility of multipliers, and representation of the inverse via Neumann-like series and via multipliers with particular parameters. Multipliers for frames with specific structure, namely Gabor multipliers, are also considered. Some of the results for the representation of the inverse multiplier are implemented in Matlab-codes and the algorithms are described.

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Fußnoten
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Metadaten
Titel
A Survey on the Unconditional Convergence and the Invertibility of Frame Multipliers with Implementation
verfasst von
Diana T. Stoeva
Peter Balazs
Copyright-Jahr
2020
Buch
Sampling: Theory and Applications

Print ISBN: 978-3-030-36290-4

Electronic ISBN: 978-3-030-36291-1

Copyright-Jahr: 2020

DOI
https://doi.org/10.1007/978-3-030-36291-1_6