scientific article; zbMATH DE number 3376222

zbMath0237.46052MaRDI QIDQ5647473

J. J. Kelleher, B. Alan Taylor

Publication date: 1972

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002187124

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Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Rings and algebras of continuous, differentiable or analytic functions (46E25) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Ideals and subalgebras (46H10) Algebras of holomorphic functions of several complex variables (32A38)

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Characterization of convolution operators on spaces of \(C^{\infty}\)- functions admitting a continuous linear right inverse ⋮ Each non-zero convolution operator on the entire functions admits a continuous linear right inverse ⋮ Nonhomogeneous systems of convolution equations in a certain class of analytic functions ⋮ Schwartz's theorem on mean periodic vector-valued functions ⋮ Application des techniques $L^2$ à la théorie des idéaux d'une algèbre de fonctions holomorphes avec poids ⋮ Analytic solutions of convolution equations on convex sets in the complex plane with an open obstacle on the boundary ⋮ Nonradial Hörmander algebras of several variables and convolution operators ⋮ Generators and maximal ideals in some algebras of holomorphic functions ⋮ Invariant subspaces in the theory of operators and theory of functions ⋮ The three-squares theorem for continuous functions ⋮ Closed ideals with the zero-dimensional root set in certain rings of holomorphic functions ⋮ Spectral synthesis and the Pompeiu problem ⋮ A description of the algebras of analytic functions admitting localization of ideals ⋮ Ideals generated by exponential-polynomials

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