On the equivalence of differential operators of infinite order with constant coefficients
Mathematica Bohemica, Tome 142 (2017) no. 2, pp. 137-143.
Voir la notice de l'article dans Czech Digital Mathematics Library
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
Mots-clés : space of analytic functions; operator of differentiation of infinite order; equivalence of operators; commutant
Mots-clés : space of analytic functions; operator of differentiation of infinite order; equivalence of operators; commutant
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TY - JOUR AU - Linchuk, Yuriy TI - On the equivalence of differential operators of infinite order with constant coefficients JO - Mathematica Bohemica PY - 2017 SP - 137 EP - 143 VL - 142 IS - 2 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2016.0007-16/ DO - 10.21136/MB.2016.0007-16 LA - en ID - 10_21136_MB_2016_0007_16 ER -
%0 Journal Article %A Linchuk, Yuriy %T On the equivalence of differential operators of infinite order with constant coefficients %J Mathematica Bohemica %D 2017 %P 137-143 %V 142 %N 2 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2016.0007-16/ %R 10.21136/MB.2016.0007-16 %G en %F 10_21136_MB_2016_0007_16
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. https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2016.0007-16/
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