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3. On the equivalence of differential operators of infinite order with constant coefficients

Creator:
Linchuk, Yuriy
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
space of analytic functions, operator of differentiation of infinite order, equivalence of operators, and commutant
Language:
English
Description:
We investigate the conditions of equivalence of a differential operator of infinite order with constant coefficients to the operator of differentiation in one space of analytic functions. We also study the conditions of continuity of a differential operator of infinite order with variable coefficients in such space.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public