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Keywords:
space of analytic functions; operator of differentiation of infinite order; equivalence of operators; commutant
space of analytic functions; operator of differentiation of infinite order; equivalence of operators; commutant
Summary:
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.
References:
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