Characteristics of the Differential Operator in Weight Space of Entire Functions of Proximate Order

Kosarev P.A.

Abstract


In this paper we find characteristics (order and type) of differential operator, operating in a weight space of entire functions of proximate order. It is shown that they answer the characteristics of the same operator in a weight space of entire functions with an exponential weight.

Keywords


locally convex space (LCS); vector valued function; operator of differentiation; order and type of the operator

References References

Леонтьев А. Ф. Целые функции. Ряды экспонент. - М., 1983.

Громов В. П., Мишин С. Н., Панюшкин С. В. Операторы конечного порядка и дифференциально-операторные уравнения : монография. - Орел : ОГУ, 2009. - 430 с.


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ISSN 1813-7903 (Print)
ISSN 2413-1172 (Online)