an:04013305
Zbl 0624.46028
Epifanov, O. V.
A differential operator of infinite order with constant coefficients on a weighted space of entire functions
EN
Sov. Math., Dokl. 34, 24-26 (1987); translation from Dokl. Akad. Nauk SSSR 289, 33-35 (1986).
00180155
1987
j
46G05 46J15 47B38
weighted space of entire functions; operator of generalized differentiation on a Banach space of entire functions with growth condition; commutative Banach algebra; convolution algebra
The commutative Banach algebra P generated by an operator of generalized differentiation on a Banach space B of entire functions with growth condition is discussed. Conditions for invertibility of members of P and an isomorphism of P with a convolution algebra are indicated.
J.P.Holmes