Multipliers on , and for a locally compact topological semigroup.
Multipliers on p-Fourier algebras
Multipliers on Schwartz spaces of some Lie groups
Multipliers on some Lorentz spaces.
Multipliers on some weighted -spaces.
Multipliers on Spaces of Functions on a Locally Compact Abelian Group with Values in a Hilbert Space
2000 Mathematics Subject Classification: Primary 43A22, 43A25.We prove a representation theorem for bounded operators commuting with translations on L2ω(G,H), where G is a locally compact abelian group, H is a Hilbert space and ω is a weight on G. Moreover, in the particular case when G = R, we characterize completely the spectrum of the shift operator S1,ω on Lω2(R,H).
Multipliers on subsemigroups of locally compact abelian groups.
Multipliers on weighted Hardy spaces over certain totally disconnected groups.
Multipliers on weighted Hardy spaces over locally compact Vilenkin groups, II
Multipliers, self-induced and dual Banach algebras [Book]
Multipliers with closed range on commutative semisimple Banach algebras
Let A be a commutative semisimple Banach algebra, Δ(A) its Gelfand spectrum, T a multiplier on A and T̂ its Gelfand transform. We study the following problems. (a) When is δ(T) = inf{|T̂(f)|: f ∈ Δ(A), T̂(f) ≠ 0} > 0? (b) When is the range T(A) of T closed in A and does it have a bounded approximate identity? (c) How to characterize the idempotent multipliers in terms of subsets of Δ(A)?
Multiresolution analysis and Haar wavelets on the Laguerre hypergroup.
Multiresolution analysis and Radon measures on a locally compact Abelian group
A multiresolution analysis is defined in a class of locally compact abelian groups . It is shown that the spaces of integrable functions and the complex Radon measures admit a simple characterization in terms of this multiresolution analysis.
N-dimensional affine Weyl-Heisenberg wavelets
Necessary and sufficient conditions for hypoelliptic of certain left invariant operators on nilpotent Lie groups II.
Necessary condition for measures which are multipliers
Let be a locally compact group and the left Haar measure on . Given a non-negative Radon measure , we establish a necessary condition on the pairs for which is a multiplier from to . Applied to , our result is stronger than the necessary condition established by Oberlin in [14] and is closely related to a class of measures defined by Fofana in [7].When is the circle group, we obtain a generalization of a condition stated by Oberlin [15] and improve on it in some cases.
Negatively curved groups and the convergence property. II: Transitivity in negatively curved groups.
Netradiční integrální geometrie
New algebras of functions on topological groups arising from G-spaces
For a topological group G we introduce the algebra SUC(G) of strongly uniformly continuous functions. We show that SUC(G) contains the algebra WAP(G) of weakly almost periodic functions as well as the algebras LE(G) and Asp(G) of locally equicontinuous and Asplund functions respectively. For the Polish groups of order preserving homeomorphisms of the unit interval and of isometries of the Urysohn space of diameter 1, we show that SUC(G) is trivial. We introduce the notion of fixed point on a class...
New a-T-menable HNN-extensions.