Abstract
We study an operator which is the composition of the convolution operator and the operator of multiplication by a fixed entire function. Such operators find applications in the Fisher expansion problem, the Cauchy problem for convolution operators, etc.
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Original Russian Text © K. R. Zabirova, V. V. Napalkov, 2016, published in Matematicheskie Zametki, 2016, Vol. 99, No. 3, pp. 350–360.
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Zabirova, K.R., Napalkov, V.V. Composition operators of convolution and multiplication by a function. Math Notes 99, 368–377 (2016). https://doi.org/10.1134/S0001434616030044
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DOI: https://doi.org/10.1134/S0001434616030044