A nice asymptotic reproducing kernel
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Raymond Mortini
raymond.mortini@univ-lorraine.fr
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https://doi.org/10.56754/0719-0646.2503.441Abstract
We extend the assertion of Problem 12340 in Amer. Math. Monthly 129 (2022), 686, by deriving some additional asymptotic behaviour of that special kernel.
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A. Garcia, “Problem 12340”, Amer. Math. Monthly, vol. 129, no. 7, p. 686, 2022, doi: 10.1080/00029890.2022.2075672.
Y. Katznelson, An introduction to harmonic analysis. New York, USA: Dover Publications, Inc., 1976.
E. M. Stein and R. Shakarchi, Fourier analysis, ser. Princeton Lectures in Analysis. New York, USA: Princeton University Press, Princeton, 2003, vol. 1.
Z. Wang, “Studies on several kernels in Fourier analysis”, Pure Appl. Math., vol. 31, no. 3, pp. 238–244, 2015, doi: 10.3969/j.issn.1008-5513.2015.03.003.
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