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Explicit convolution for Hermite transform. (English) Zbl 0649.44001

Following the work of the reviewer on Hermite transforms [Math. Vesnik 1(16), 285-292 (1964; Zbl 0163.357) and 5(20), 29-36 (1968; Zbl 0155.449)] the authors prove an explicit representation of a convolution of the Hermite transforms for both odd and even functions. The convolution of the Hermite transforms in the general case is discussed. This paper is quite interesting and contains some new results of interest.
Reviewer: L.Debnath

MSC:

44A15 Special integral transforms (Legendre, Hilbert, etc.)
44A20 Integral transforms of special functions
44A35 Convolution as an integral transform
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