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A note on band-limited minorants of an Euclidean ball


Author: Felipe Gonçalves
Journal: Proc. Amer. Math. Soc. 146 (2018), 2063-2068
MSC (2010): Primary 42B35; Secondary 33C10
DOI: https://doi.org/10.1090/proc/13877
Published electronically: December 12, 2017
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Abstract: We study the Beurling-Selberg problem of finding band-limited $ L^1$-functions that lie below the indicator function of an Euclidean ball. We compute the critical radius of the support of the Fourier transform for which such construction can have a positive integral.


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Additional Information

Felipe Gonçalves
Affiliation: Mathematical and Statistical Sciences, University of Alberta, CAB 632, Edmonton, Alberta, T6G 2G1 Canada
Email: felipe.goncalves@ualberta.ca

DOI: https://doi.org/10.1090/proc/13877
Received by editor(s): May 2, 2017
Received by editor(s) in revised form: July 3, 2017
Published electronically: December 12, 2017
Communicated by: Harold P. Boas
Article copyright: © Copyright 2017 American Mathematical Society

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