A right inverse operator for a convolution operator

DOI10.1007/BF01089208zbMath0786.47030OpenAlexW1992251313MaRDI QIDQ1180044

Yu. F. Korobeĭnik

Publication date: 27 June 1992

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01089208

zbMATH Keywords

convolution operatoranalytical functions spaceslinear continuous right inverse

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Linear operators on function spaces (general) (47B38) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (1)

On the continuous linear right inverse for convolution operators in spaces of ultradifferentiable functions

Cites Work

• Each non-zero convolution operator on the entire functions admits a continuous linear right inverse
• Absolutely convergent series in the canonical inductive limits
• Splitting of Closed Ideals in (DFN)-Algebras of Entire Functions and the Property (DN)
• Sequence space representations for (FN)-algebras of entire functions modulo closed ideals
• Partial differential operators of infinite order with constant coefficients on the space of analytic functions on the polydisc
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