ХАРАКТЕРИСТИКИ ОПЕРАТОРА ДИФФЕРЕНЦИРОВАНИЯ В ВЕСОВОМ ПРОСТРАНСТВЕ ЦЕЛЫХ ФУНКЦИЙ УТОЧНЕННОГО ПОРЯДКА

P A Kosarev

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

Authors

P. A. Kosarev Oryol State University

Keywords:

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

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.

Author Biography

P. A. Kosarev, Oryol State University

Post-graduate

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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Published

15.03.2014

How to Cite

Kosarev П. А. (2014). Characteristics of the Differential Operator in Weight Space of Entire Functions of Proximate Order. Vestnik IzhGTU Imeni M.T. Kalashnikova, (1), 139–140. Retrieved from https://izdat.istu.ru/index.php/vestnik/article/view/2525