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.
New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals [Book]
New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform.
New volume ratio properties for convex sym-metric bodies in IRn.
Newtonian spaces: An extension of Sobolev spaces to metric measure spaces.
This paper studies a possible definition of Sobolev spaces in abstract metric spaces, and answers in the affirmative the question whether this definition yields a Banach space. The paper also explores the relationship between this definition and the Hajlasz spaces. For specialized metric spaces the Sobolev embedding theorems are proven. Different versions of capacities are also explored, and these various definitions are compared. The main tool used in this paper is the concept of moduli of path...
Nilpotent Lie groups and eigenfunction expansions of Schrödinger operators II
Nilpotent Lie groups and summability of eigenfunction expansions of Schrödinger operators