Mathematica Bohemica, Vol. 142, No. 2, pp. 137-143, 2017

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

Yuriy Linchuk

Received January 18, 2016.  First published November 25, 2016.

Abstract:  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.
Keywords:  space of analytic functions; operator of differentiation of infinite order; equivalence of operators; commutant
Classification MSC:  47B38
DOI:  10.21136/MB.2016.0007-16

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Affiliations:   Yuriy S. Linchuk, Department of Mathematical Analysis, Chernivtsi National University, 2 Kotsjubynskoho Rd., Chernivtsi, 58012, Ukraine, e-mail:

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