Transformations of measurable sets by automorphism groups.
Translation-Invariant Linear Forms on D(G).
Unconditionality, Fourier multipliers and Schur multipliers
Let G be an infinite locally compact abelian group and X be a Banach space. We show that if every bounded Fourier multiplier T on L²(G) has the property that is bounded on L²(G,X) then X is isomorphic to a Hilbert space. Moreover, we prove that if 1 < p < ∞, p ≠ 2, then there exists a bounded Fourier multiplier on which is not completely bounded. Finally, we examine unconditionality from the point of view of Schur multipliers. More precisely, we give several necessary and sufficient conditions...
Une formule asymptotique du type Mehler-Heine pour les zonoles d'un espace reimannien symétrique
Uniformly continuous functionals on Banach algebras
Unitary multipliers on
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Variants of Littlewood-Paley theory.
Vector-valued multipliers on stratified groups.
Weak amenability and semidirect products in simple Lie groups.
Weak amenability of the universal covering group fo SU (1, n).
Weak* properties of weighted convolution algebras II
We show that if ϕ is a continuous homomorphism between weighted convolution algebras on ℝ⁺, then its extension to the corresponding measure algebras is always weak* continuous. A key step in the proof is showing that our earlier result that normalized powers of functions in a convolution algebra on ℝ⁺ go to zero weak* is also true for most measures in the corresponding measure algebra. For some algebras, we can determine precisely which measures have normalized powers converging to zero weak*. We...
Weak-strong convolution operators on certain disconnected groups
Weighted convolution algebras and their homomorphisms
Weighted H... Multipliers on Locally Compact Vilenkin Groups.
Weil Multipliers.
Операторы умножения в пространствах целых функций конечного порядка и оператры типа свертки
Полуинвариантное интегрирование со значениями в группе и некоторые его применения