排序方式: 共有42条查询结果,搜索用时 15 毫秒
11.
在研究一个生成元的自由Abel群上超群结构的基础上,建立了两个生成元的自由Abel群上的超群结构理论,并进行了分析与研究,同时给出了两个生成元的自由Abel群到实数加群的同态方法,并对自由Abel群上的超群结构进行了研究与分类.在此基础上给出了正规超群的分类.证明得出:自由Abel群同构于实数加群及其子群. 相似文献
12.
In this paper we consider Fourier multipliers for Lp (p>1)on Chébli-Trimèche hypergroups and establish aversion of Hörmander's multiplier theorem. As applicationswe give some results concerning the Riesz potentials and oscillatingmultipliers. 1991 Mathematics Subject Classification: 43A62,43A15, 43A32. 相似文献
13.
We show that for a compact hypergroup K, the hypergroup algebra is amenable as a Banach algebra if the set of hyperdimensions of irreducible representations of K is bounded above. Conversely if is amenable, the set of ratios of the hyperdimension to the dimension of irreducible representations of K is bounded above. These are equivalent for compact commutative hypergroups. 相似文献
14.
Fuzzy幂群的基数定理 总被引:10,自引:3,他引:7
文(1)提出了幂群的概念,给出了幂群中各元素是等势的基数定理,文(2)提出了Fuzzy幂群的概念,但没研究其中各元素的基数问题,本文深入研究这一问题,得到了由D.Dubois等在文(3)中提出的和由李洪兴等在文(4)中提出的两种Fuzzy集基数形式下的Fuzzy幂群的基数定理,并给出了Fuzzy幂群中与基数有关的若干结果。 相似文献
15.
We present a construction of a wavelet-type orthonormal basis
for the space of radial $L^2$-functions in {\bf R}$^3$ via the concept of a radial
multiresolution analysis. The elements of the basis are obtained from a single
radial wavelet by usual dilations and generalized translations. Hereby the generalized translation reveals the group convolution of radial functions in {\bf R}$^3$. We provide a simple way to construct a radial scaling function and a radial wavelet
from an even classical scaling function on {\bf R}. Furthermore, decomposition and
reconstruction algorithms are formulated. 相似文献
16.
In this paper we define a left order, right order and order of an element in a hypergroup, which has a left scalar identity, right scalar identity and scalar identity, respectively. Using left and right orders, we define and investigate some classes of subhypergroups, especially p-Sylow subhypergroups of a hypergroup. Moreover, some examples have been proposed to show that the Sylow theorems do not hold for polygroups. 相似文献
17.
In this article, we prove a heat kernel version of Hardy’s theorem for the Laguerre hypergroup. 相似文献
18.
The Structure of Hypergroup on the Cyclical Group 总被引:2,自引:0,他引:2
TheStructureofHypergroupontheCyclicalGroup¥ZhongYubin(Departmentofmathematics,GuangzhouTeachersCollege)Abstract:Sincethehyper... 相似文献
19.
Hansmartin Zeuner 《Journal of Theoretical Probability》1989,2(1):51-63
Let (S
nn>-1) be a random walk on a hypergroup (
+
, *), i.e., a Markov chain with transition kernelN(x, A) = x * (A), where is a fixed probability measure on
+
such that the second moment exists. Then depending on the growth of the hypergroup two situations can occur: when (
+
, *) is of exponential growth then it is shown thatS
n is asymptotically normal. In the case of polynomial growth {more precisely, if the densityA of the Haar measure of (
+
, *) satisfies lim[A()/A()]=}, the normalized variablesS
n/[n Var()/(+1)]1/2 converge to a Rayleigh distribution
with parameter . 相似文献
20.
A Wiener-Tauberian theorem is proven on the Laguerre hypergroup [M.M. Nessibi, K. Trimèche, Inversion of the Radon transform on the Laguerre hypergroup by using generalized wavelets, J. Math. Anal. Appl. 208 (1997) 337-363]. As consequence of this theorem we establish a Pompeiu type-theorem and we study some of its applications. 相似文献