On inverse-closed algebras of infinitely differentiable functions
Las álgebras de Denjoy-Carleman analíticas.
Sobre un álgebra de funciones casi analíticas.
A uniqueness theorem for invariantly harmonic functions in the unit ball of C.
We prove a boundary uniqueness theorem for harmonic functions with respect to Bergman metric in the unit ball of C and give an application to a Runge type approximation theorem for such functions.
Maximal and area integral characterizations of Hardy-Soboley spaces in the unit ball of C.
In this paper we deal with several characterizations of the Hardy-Sobolev spaces in the unit ball of C, that is, spaces of holomorphic functions in the ball whose derivatives up to a certain order belong to the classical Hardy spaces. Some of our characterizations are in terms of maximal functions, area functions or Littlewood-Paley functions involving only complex-tangential derivatives. A special case of our results is a characterization of H itself involving only complex-tangential derivatives....
Pluriharmonic interpolation and hulls of C curves in the unit sphere.
On truncations of Hankel and Toeplitz operators.
We study the boundedness properties of truncation operators acting on bounded Hankel (or Toeplitz) infinite matrices. A relation with the Lacey-Thiele theorem on the bilinear Hilbert transform is established. We also study the behaviour of the truncation operators when restricted to Hankel matrices in the Schatten classes.
Pere Menal i Brufal, 1951-1991.
Pere Menal, Professor of Algebra at the Universitat Autònoma de Barcelona, died in a traffic accident on April 4th, 1991. His colleagues in the Mathematics Department of the UAB strongly felt the need to pay a tribute to his memory, and decided then to dedicate this, the Autumn 1992 issue of the departmental journal, to his memory.
Hölder and LP-Estimates for the ...-Equation in Some Convex Domains with Real-Analytic Boundary.
Interpolation by Holomorphic Functions Smooth to the Boundary in the Unit Ball of Cn.
Holomorphic Approximation in Cm-Norms on Totally Real Compact Sets in Cn.
Closed Finitely Generated Ideals in Algebras of Holomorphic Functions and Smooth to the Boundary in Strictly Pseudoconvex Domains.
On -solutions of the Laplace equation and zeros of holomorphic functions
Completeness in L(R) of discrete translates.
We characterize, in terms of the Beurling-Malliavin density, the discrete spectra Λ ⊂ R for which a generator exists, that is a function φ ∈ L(R) such that its Λ translates φ(x - λ), λ ∈ Λ, span L(R). It is shown that these spectra coincide with the uniqueness sets for certain analytic clases. We also present examples of discrete spectra Λ ∈ R which do not admit a single generator while they admit a pair of generators.
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