Geodesic
On the equivalence of differential operators of infinite order with constant coefficients
Mathematica Bohemica, Tome 142 (2017) no. 2, pp. 137-143
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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.
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.
DOI : 10.21136/MB.2016.0007-16
Classification : 47B38
Keywords: space of analytic functions; operator of differentiation of infinite order; equivalence of operators; commutant 
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Linchuk, Yuriy. On the equivalence of differential operators of infinite order with constant coefficients. Mathematica Bohemica, Tome 142 (2017) no. 2, pp. 137-143. doi: 10.21136/MB.2016.0007-16

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