Locally compact abelian group
Generalized continuous wavelet transform on locally compact abelian group
... LCA group G is called a character of G if ( ) x = 1 for all x G and if the functional equation ( x + y ) = ( ) ( ) x y for all ( ) x y , G is satisfied ...a group , the dual group of G ...
10
On a Metric on Translation Invariant Spaces
... a locally compact abelian group G are closed subspaces of L 2 (G) that are invariant under translations by a closed cocom- pact subgroup of ...
7
Banach algebra amenability and group algebras
... Now, since locally compact Abelian groups are amenable, a commutative Banach algebra 21 has property G if and only if there is a locally compact Abelian group G and a dense-ranged homomo[r] ...
136
Multipliers on some weighted Lp spaces
... Abstract. Let G be a locally compact abelian group with Haar measure dx, and let ω be a symmetric Beurling weight function on G (Reiter, 1968). In this paper, using the relations between p i ...
6
An extension of Helson Edwards theorem to Banach Modules
... Edwards theorem for the group algebra of a locally compact Abelian group see Rudin.. Note first that.[r] ...
6
The solution of the functional equation of D'Alembert's type for commutative groups
... A solution of D’Alembert’s functional equation on a locally compact Abelian group, Aequationes Math.. The families with a universal Bayesian estimator of the transformation parameter, Sy[r] ...
21
Bracket Products on Locally Compact Abelian Groups
... We define a new function-valued inner product on L 2 (G), called φ-bracket product, where G is a locally compact abelian group and φ is a topological isomorphism on G. We investigate the ...
6
On continuous cohomology of locally compact Abelian groups and bilinear maps
... a locally compact abelian group in a central extension of abelian groups with a continuous ...of locally compact abelian groups if A is a discrete divisible ...
11
On invariant means and applications to ergodic theory and harmonic analysis
... In this section we shall show that for any locally compact group not necessarily Abelian it is possible to obtain the existence of invariant means on the group W*-algebra in such a way t[r] ...
116
Probabilistic trace and Poisson summation formulae on locally compact abelian groups
... on locally compact abelian groups, which have a discrete subgroup such that the factor group is ...factor group to the trace of the associated semi- group on L 2 ...
25
On component extensions locally compact abelian groups
... topological group of real numbers is denoted by R , Q is the group of rationals with the discrete topology and Z is the group of integers with the discrete ...a group G is denoted by ˆ G. For ...
11
Splitting of extensions in the category of locally compact abelian groups
... Abstract. Let £ be the category of all locally compact abelian (LCA) groups. In this paper, the groups G in £ are determined such that every extension 0 → X → Y → G → 0 with divisible, ...
7
Amenability and the Extension Property
... case of non normal subgroups. We succeed assuming that the subgroup H is amenable (Theorem 5). C. Fiorillo obtained [2] already this result assuming however the unimodularity of G and of H. But the AN part of the Iwasawa ...
8
Closed quantum subgroups of locally compact quantum groups
... It is very easy to see that they are all logically equivalent ((2) is essentially the definition of quasi-equivalence in (3), and the equivalence of (1) and (2) follows from a basic functional analytic argument, appearing ...
25
Locally soluble groups with the restrictions on the generalized norms
... the group G = (hci ⋋ D) ⋋ hbi does not contain periodic Abelian non-cyclic subgroups, all mixed Abelian subgroups belong to the group hci ⋋D, contain hci and are normal in ...free ...
14
The problem of adjoining roots to ordered groups
... normal, abelian sijbgroup of an 0-group, G , and n > 0 is an integer, then there is an 0-group, U , containing G , and an element, a: , in 5 such that sP = a ...maximal, locally nilpotent, ...
102
On the contribution of D.I. Zaitsev to the Theory of Infinite Groups
... for locally nilpotent and metabelian groups ...soluble group G satisfying Min–n. All this shows that the classes of locally nilpotent and metabelian groups are the first cases of classes of groups in ...
33
Completely positive multipliers of quantum groups
... of locally compact quantum groups G form a generalisation of both L 1 (G) and A(G), together with genuinely “non-commutative” examples, such as compact quantum ...
19
Directional uniformities, periodic points, and entropy
... an abelian group action, and the second of which loses touch with the novel phenomena that can only arise for higher-dimensional acting groups, two thematic approaches arise ...
22
Translation invariant mappings on KPC-hypergroups
... commute with translation operators. This theorem was proved for locally compact abelian groups by Larsen in 1971 [8]. Then, Lasser extended this theorem on locally compact commutative ...
9