[PDF] Top 20 On component extensions locally compact abelian groups
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On component extensions locally compact abelian groups
... of locally compact abelian groups and A, C ∈ ...define component extensions of A by C and show that the set of all component extensions of A by C forms a subgroup ... See full document
11
Translation invariant mappings on KPC-hypergroups
... Locally compact hypergroups, as extensions of locally compact groups, were introduced in a series of papers by Dunkl [2], Jewett [4], and Spector [10] in 70’s (we refer to this ... See full document
9
Probabilistic trace and Poisson summation formulae on locally compact abelian groups
... It is well–known that the Poisson summation formula is a special case of the Selberg trace formula with compact quotient (see e.g. [12] p.9). Gangolli [21] has given the latter a probabilistic interpretation by ... See full document
25
On a Metric on Translation Invariant Spaces
... abelian groups in [9, 10] by the second and the third authors (see also ...of locally compact abelian groups are studied in [4, ...a locally compact abelian ... See full document
7
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] ... See full document
21
On orderability of topological groups
... Topological groups, orderable or ordered topological groups, non-archimedean metrizable, totally disconnected, locally compact abelian groups.. 1980 AMS SUBJECT CLASSIFICATION CODES.[r] ... See full document
8
Brownian motion and Levy processes on locally compact groups
... In the non-abelian case, probabilistic investigations were greatly assisted by discoveries made during the 1950’s, in the course of trying to solve Hilbert’s 5th problem, which demonstrated that any locally ... See full document
17
Completely positive definite functions and Bochner's theorem for locally compact quantum groups
... coamenable locally compact quantum ...are extensions of theirs concerning the commutative case when G = G is a locally compact ... See full document
21
Generalized continuous wavelet transform on locally compact abelian group
... Keywords: continuous wavelet transform; locally compact abelian groups; Fourier transform.. I NTRODUCTION.[r] ... See full document
10
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 notion of ... See full document
6
Splitting of extensions in the category of locally compact abelian groups
... all locally compact abelian (LCA) ...the groups G in £ are determined such that every extension 0 → X → Y → G → 0 with divisible, σ−compact X in £ ...LCA groups H such that every ... See full document
7
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 ... See full document
11
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] ... See full document
136
Cohomologies of finite abelian groups
... is close to that of Takahashi, though it seems more explicit. We also compare our resolution with the standard one (Section 2) and prove some facts concerning duality for cohomologies of G-lattices (Section 3). The ... See full document
14
Balanced subgroups of Abelian groups
... projective resolution of A ). We prove that (9) is H-balanced. As A has torsion free rank 1 , a glance at the height matrix of a shows that the only heights which occur for infinite order elements of A are those which ... See full document
120
Locally soluble groups with the restrictions on the generalized norms
... are normal in a group G or the system of such subgroups is empty. Non- Abelian groups with such property were studied in [8] and called di-groups. Obviously, the presence of decomposable subgroups in ... See full document
14
Factorial design and Abelian groups
... The theory of finite Abelian groups is used to simplify the search for, and construction of, factorial designs.. Much of this work is concerned with fractional r[r] ... See full document
21
Computable Torsion Abelian Groups
... Regardless of the outcomes, we will build M total and isomorphic to A (this is a global requirement). Furthermore, we will also explicitly and effectively construct a full decom- position of M into cyclic and quasi-cyclic ... See full document
45
Topological entropy and periodic points for Zd actions on compact abelian groups with the Descending Chain Condition
... Using results of Klaus Schmidt, Bruce Kitchens and Doug Lind, we show that the descending chain condition guarantees that the global topological entropy of such an action coincides with [r] ... See full document
109
GALOIS E X T E N S I O N S R A MI FI E DA TO N EP R I ME
... which groups occur as Galois groups with specified ramifications? In the function field case, this means studying Galois groups of finite branched covers of projective curves X with specified branch ... See full document
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