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Approximate Dual M-Frames Constructions: The Gabor Case

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Current Trends in Analysis and Its Applications

Part of the book series: Trends in Mathematics ((RESPERSP))

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Abstract

The aim of this work is to provide an efficient method to realize constructively approximate duals of Gabor frames with multivariate atoms. The proposed method is independent of the number of atoms needed and it is applicable also in the case of non-separable atoms. Due to the small number of atoms used in the construction the method is computationally inexpensive.

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Acknowledgements

The work of the first author of the article has been partially supported by the European Commission grant no. FP7-REGPOT-CT-2011-284595 (HOST). The second author has been partially supported by the Polish Ministry of Science and Higher Education.

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Correspondence to Darian M. Onchis .

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Onchis, D.M., Grybos, A. (2015). Approximate Dual M-Frames Constructions: The Gabor Case. In: Mityushev, V., Ruzhansky, M. (eds) Current Trends in Analysis and Its Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12577-0_74

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