Functions of Bounded Variation on Idempotent Semigroups:
Functions of Translation Type and Functorial Properties of Segal Algebras II.
Functions of Translation Type and Functorial Properties of Segal Algebras I.
Functions with a Finite Number of Negative Squares on Semigroups.
Fundamental solutions for translation and rotation invariant differential operators on the Heisenberg group
Fundamental solutions of differential operators on homogeneous manifolds of negative curvature and related Riesz transforms
Funktionenalgebren auf Bahnen nilpotenter Gruppen
Further properties of an extremal set of uniqueness
Gardens of Eden and amenability on cellular automata
GAUSS MEASURES ON SEMIGROUPS.
Gaussian measures in Urbanik's sense and a characterization theorem for abelian groups
Gaußsche Wahrscheinlichkeitsmaße auf Corwinschen Gruppen.
Gelfand pairs and spherical functions.
Gelfand transforms of -invariant Schwartz functions on the free group
The spectrum of a Gelfand pair , where is a nilpotent group, can be embedded in a Euclidean space. We prove that in general, the Schwartz functions on the spectrum are the Gelfand transforms of Schwartz -invariant functions on . We also show the converse in the case of the Gelfand pair , where is the free two-step nilpotent Lie group with three generators. This extends recent results for the Heisenberg group.
Généralisation d'un théorème de Haagerup
Let G be a group of automorphisms of a tree X (with set of vertices S) and H a kernel on S × S invariant under the action of G. We want to give an estimate of the -operator norm (1 ≤ r ≤ 2) of the operator associated to H in terms of a norm for H. This was obtained by U. Haagerup when G is the free group acting simply transitively on a homogeneous tree. Our result is valid when X is a locally finite tree and one of the orbits of G is the set of vertices at even distance from a given vertex; a technical...
Generalisations of some properties of invariant polynomials with matrix arguments
Some extensions of the properties of invariant polynomials proved by Davis (1980), Chikuse (1980), Chikuse and Davis (1986) and Ratnarajah et al. (2005) are given for symmetric and Hermitian matrices.
Generalization of Johnson's theorem for weighted semigroup algebras.
Generalization of the theorem on the argument of almost periodic function
Generalization of the weak amenability on various Banach algebras
The generalized notion of weak amenability, namely -weak amenability, where are continuous homomorphisms on a Banach algebra , was introduced by Bodaghi, Eshaghi Gordji and Medghalchi (2009). In this paper, the -weak amenability on the measure algebra , the group algebra and the Segal algebra , where is a locally compact group, are studied. As a typical example, the -weak amenability of a special semigroup algebra is shown as well.
Generalizations of some theorems of Loomis on almost periodic functions.