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Preservation of functions not having completely regular growth by a convolution operator. (English) Zbl 0433.44009

44A35 Convolution as an integral transform
47Gxx Integral, integro-differential, and pseudodifferential operators
45P05 Integral operators
30D15 Special classes of entire functions of one complex variable and growth estimates
Full Text: DOI
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[7] D. Dickson, ?Expansions in series of solutions of linear difference-differential and infinite order differential equations with constant coefficients,? Memor. Am. Math. Soc.,23, No. 1, 1-72 (1957). · Zbl 0079.11305
[8] V. S. Azarin, ?On a characteristic property of functions of completely regular growth inside an angle,? Teor. Funktsii, Funkts. Analiz Prilozhen.,2, 55-67 (1966).
[9] O. V. Epifanov, ?On the problem of epimorphism of convolution in convex domains,? Mat. Zametki,16, No. 3, 415-422 (1974). · Zbl 0314.47023
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