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
@article{10_21136_MB_2016_0007_16,
     author = {Linchuk, Yuriy},
     title = {On the equivalence of differential operators of infinite order with constant coefficients},
     journal = {Mathematica Bohemica},
     pages = {137--143},
     publisher = {mathdoc},
     volume = {142},
     number = {2},
     year = {2017},
     doi = {10.21136/MB.2016.0007-16},
     mrnumber = {3660171},
     zbl = {06738575},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2016.0007-16/}
}
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/

Cité par Sources :