Sur les transformées de Fourier radiales
Sur une classe d'algèbre de fonctions généralisées application aux systèmes différentiels
Survey of some results in spectral theory obtained in Prague
Swiss cheeses, rational approximation and universal plane curves
We consider the compact plane sets known as Swiss cheese sets, which are a useful source of examples in the theory of uniform algebras and rational approximation. We develop a theory of allocation maps connected to such sets and we use this theory to modify examples previously constructed in the literature to obtain examples homeomorphic to the Sierpiński carpet. Our techniques also allow us to avoid certain technical difficulties in the literature.
Synthèse et algèbre de multiplicateurs de
Soit , l’espace de Banach des fonctions continues sur qui sont parties réelles de fonctions de l’algèbre du disque . On étudie les ensembles de de synthèse pour et l’algèbre des multiplicateurs de . On en déduit des théorèmes d’approximation dans par des produits de Blaschke.
Synthèse harmonique ultramétrique. Théorie spectrale en analyse ultramétrique
Synthèse spectrale dans les algèbres de Sobolev non isotropes
Systèmes projectifs d'ensembles convexes compacts
Tensor product of URM algbras
Tensor products of commutative Banach algebras.
Tensor Products of Weighted Bergman Spaces and Invariant Ha-Plitz Operators.
The analytic -capacity and the Cauchy integral
The Banach algebra of continuous bounded functions with separable support
We prove a commutative Gelfand-Naimark type theorem, by showing that the set of continuous bounded (real or complex valued) functions with separable support on a locally separable metrizable space X (provided with the supremum norm) is a Banach algebra, isometrically isomorphic to C₀(Y) for some unique (up to homeomorphism) locally compact Hausdorff space Y. The space Y, which we explicitly construct as a subspace of the Stone-Čech compactification of X, is countably compact, and if X is non-separable,...
The Banach space H...(X, d, ...).I.
The Banach space H...(X, d, ...).II.
The Bourgain algebra of the disk algebra A(𝔻) and the algebra QA
It is shown that the Bourgain algebra of the disk algebra A() with respect to is the algebra generated by the Blaschke products having only a finite number of singularities. It is also proved that, with respect to , the algebra QA of bounded analytic functions of vanishing mean oscillation is invariant under the Bourgain map as is .
The characteristic algebra of a polynomial covering map.
The compactum of a semi-simple commutative Banach algebra.
The Complex Stone-Weierstrass Property
The compact Hausdorff space X has the CSWP iff every subalgebra of C(X,ℂ) which separates points and contains the constant functions is dense in C(X,ℂ). Results of W. Rudin (1956) and Hoffman and Singer (1960) show that all scattered X have the CSWP and many non-scattered X fail the CSWP, but it was left open whether having the CSWP is just equivalent to being scattered. Here, we prove some general facts about the CSWP; in particular we show that if X is a compact ordered space,...
The differential equation y' = fy in the algebras H(D).