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A Proof of Fatou’s Interpolation Theorem

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Abstract

For Fatou’s interpolation theorem of 1906 we suggest a new elementary proof.

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Notes

  1. If \(1 \notin F\), then we assume \(1 \notin G_n\) for all n (this will simplify the proofs).

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Acknowledgements

Funding was provided by Simons Foundation (Grant No. 430329).

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Correspondence to Arthur A. Danielyan.

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Communicated by Hans G. Feichtinger.

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Danielyan, A.A. A Proof of Fatou’s Interpolation Theorem. J Fourier Anal Appl 28, 45 (2022). https://doi.org/10.1007/s00041-022-09936-4

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  • DOI: https://doi.org/10.1007/s00041-022-09936-4

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