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.
Generalized almost periodic functions
Generalized -almost periodic type functions in
In this paper, we analyze multi-dimensional quasi-asymptotically -almost periodic functions and their Stepanov generalizations as well as multi-dimensional Weyl -almost periodic type functions. We also analyze several important subclasses of the class of multi-dimensional quasi-asymptotically -almost periodic functions and reconsider the notion of semi--periodicity in the multi-dimensional setting, working in the general framework of Lebesgue spaces with variable exponent. We provide certain...
Generalized coefficients of spherical principal series for split symmetric spaces. (Coefficients généralisés de séries principales sphériques relatifs aux espaces symétriques déployés.)
Generalized conjugate systems on local fields
Generalized functions on adeles. Linear and non-linear theories
We consider various generalizations of linear homogeneous distributions on adeles and construct a number of algebras of non-linear generalized functions on adeles and totally disconnected groups such as the discrete adeles.
Generalized Gelfand pairs associated with the Heisenberg group. (Paires de Guelfand généralisées associées au groupe d'Heisenberg.)
Generalized group algebras and their bundles.
Generalized notions of amenability for a class of matrix algebras
We investigate the amenability and its related homological notions for a class of -upper triangular matrix algebra, say , where is a Banach algebra equipped with a nonzero character. We show that is pseudo-contractible (amenable) if and only if is singleton and is pseudo-contractible (amenable), respectively. We also study pseudo-amenability and approximate biprojectivity of .