A Bochner-Herz property in bounded synthesis.
A note on power bounded restrictions of Fourier-Stieltjes transforms.
A property of a decomposition of weakly almost periodic functions
A result on spectral synthesis of direct products.
A Support Preserving Hahn-Banach Property to Determine Helson-S Sets.
Algèbres et convoluteurs de
BMO and Lipschitz approximation by solutions of elliptic equations
We consider the problem of qualitative approximation by solutions of a constant coefficients homogeneous elliptic equation in the Lipschitz and BMO norms. Our method of proof is well-known: we find a sufficient condition for the approximation reducing matters to a weak spectral synthesis problem in an appropriate Lizorkin-Triebel space. A couple of examples, evolving from one due to Hedberg, show that our conditions are sharp.
Characterizations of those Ideals in L1 (R) which can be Synthesized.
Contractions à spectre dénombrable et propriétés d'unicité des fermés dénombrables du cercle
On montre que si est une contraction à spectre dénombrable et telle que, pour tout
D'Alembert's functional equation on compact groups.
Das Syntheseproblem für invariante Distributionen.
Discrete spectral synthesis.
Ditkin sets in homogeneous spaces
Ditkin sets for the Fourier algebra A(G/K), where K is a compact subgroup of a locally compact group G, are studied. The main results discussed are injection theorems, direct image theorems and the relation between Ditkin sets and operator Ditkin sets and, in the compact case, the inverse projection theorem for strong Ditkin sets and the relation between strong Ditkin sets for the Fourier algebra and the Varopoulos algebra. Results on unions of Ditkin sets and on tensor products are also given.
Ditkin's Condition and Primary Ideals in Central Beurling Algebras.
Ditkin's Theorem and ...SIN...-Groups.
Ensemble de non-synthèse uniforme dans les algèbres
Ensembles de non synthèse pour certains poids dissymétriques sur la droite
Exponential monomials on Sturm-Liouville hypergroups.
Faltungsoperatoren auf gewissen diskreten Gruppen
Functional calculus in weighted group algebras.
Let G be a compactly generated, locally compact group with polynomial growth and let ω be a weight on G. We look for general conditions on the weight which allow us to develop a functional calculus on a total part of L1(G,ω). This functional calculus is then used to study harmonic analysis properties of L1(G,ω), such as the Wiener property and Domar's theorem.