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Riesz bases by replacement

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Abstract

In this paper we provide a method for constructing new Riesz bases on separable Hilbert spaces and we use it to prove sufficient conditions for the existence of exponential Riesz bases on domains of \({ {\mathbb {R}} }^d\). We also apply our results to the construction of weighted exponential Riesz bases on [0, 1].

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Acknowledgements

We wish to thank the anonymous referees for valuable suggestions, and for pointing out the connection between our results and those in [4]

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Correspondence to Laura De Carli.

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On behalf of all authors, the corresponding author states that there is no conflict of interest.

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Communicated by Deguang Han.

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De Carli, L., Edward, J. Riesz bases by replacement. Sampl. Theory Signal Process. Data Anal. 20, 9 (2022). https://doi.org/10.1007/s43670-022-00025-7

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