Convolution operator in the space of real analytic functions

DOI10.1007/BF01158301zbMath0763.47012MaRDI QIDQ1814550

V. V. Napalkov, Igor' Alekseevich Rudakov

Publication date: 25 June 1992

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

zbMATH Keywords

convolution operatorspace of real-analytic functions

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (4)

Hadamard multipliers on spaces of real analytic functions ⋮ Solvability of convolution equations in the Beurling spaces of ultradifferentiable functions of mean type on an interval ⋮ Convolution operators on spaces of real analytic functions ⋮ Parameter dependence of solutions of differential equations on spaces of distributions and the splitting of short exact sequences

Cites Work

• On the existence of real analytic solutions of partial differential equations with constant coefficients
• Sur les décompositions des fonctions analytiques uniformes et sur leurs applications
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