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 .
Generalized Strichartz Inequalities for the Wave Equation on the Laguerre Hypergroup
Mathematics Subject Classification: 42B35, 35L35, 35K35In this paper we study generalized Strichartz inequalities for the wave equation on the Laguerre hypergroup using generalized homogeneous Besov-Laguerre type spaces.
Geometric realization of discrete series for semisimple symmetric spaces.
Geometry of Carnot-Carathéodory spaces, quasiconformal analysis, and geometric measure theory.
Geometry of the Fourier Algebras and Locally Compact Groups with Atomic Unitary Representations.
Gleichverteilte Folgen in lokalkompakten Gruppen.
Gleichverteilung auf diskreten Halbgruppen.
Good weights for weighted convolution algebras
Weighted convolution algebras L¹(ω) on R⁺ = [0,∞) have been studied for many years. At first results were proved for continuous weights; and then it was shown that all such results would also hold for properly normalized right continuous weights. For measurable weights, it was shown that one could construct a properly normalized right continuous weight ω' with L¹(ω') = L¹(ω) with an equivalent norm. Thus all algebraic and norm-topology results remained true for measurable weights. We now show that,...
Graded nilpotent Lie algebra of rank 3 and inverse of a differential operator. (Algèbre de Lie nilpotente graduée de rang 3 et inverse d'un opérateur différentiel.)
Group C*-algebras satisfying Kadison's conjecture
We tackle R. V. Kadison’s similarity problem (i.e. any bounded representation of any unital C*-algebra is similar to a *-representation), paying attention to the class of C*-unitarisable groups (those groups G for which the full group C*-algebra C*(G) satisfies Kadison’s problem) and thereby we establish some stability results for Kadison’s problem. Namely, we prove that inherits the similarity problem from those of the C*-algebras A and B, provided B is also nuclear. Then we prove that G/Γ is...
Group ideals in a semigroup of measures.
Group reflection and precompact paratopological groups
We construct a precompact completely regular paratopological Abelian group G of size (2ω)+ such that all subsets of G of cardinality ≤ 2ω are closed. This shows that Protasov’s theorem on non-closed discrete subsets of precompact topological groups cannot be extended to paratopological groups. We also prove that the group reflection of the product of an arbitrary family of paratopological (even semitopological) groups is topologically isomorphic to the product of the group reflections of the factors,...
Group representations by automorphisms of a proposition system