Second degree polynomials and the fundamental theorems of harmonic analysis.
Some problems concerning different types of vector valued almost periodic functions [Book]
Some remarks on the spectra of unitary dilations
Some results in spectral analysis and synthesis at infinity.
Spectral synthesis and operator synthesis
Relations between spectral synthesis in the Fourier algebra A(G) of a compact group G and the concept of operator synthesis due to Arveson have been studied in the literature. For an A(G)-submodule X of VN(G), X-synthesis in A(G) has been introduced by E. Kaniuth and A. Lau and studied recently by the present authors. To any such X we associate a -submodule X̂ of ℬ(L²(G)) (where is the weak-* Haagerup tensor product ), define the concept of X̂-operator synthesis and prove that a closed set E...
Spectral synthesis in L²(G)
For locally compact, second countable, type I groups G, we characterize all closed (two-sided) translation invariant subspaces of L²(G). We establish a similar result for K-biinvariant L²-functions (K a fixed maximal compact subgroup) in the context of semisimple Lie groups.
Spherical functions and spectral synthesis
Sur les idéaux primaires fermés stables par automorphismes linéaires
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 spectrale dans certaines algèbres de Beurling sur le cercle unité