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31.
Let G be a locally compact group with a fixed right Haar measure andX a separable Banach space. LetL
p
(G, X) be the space of X-valued measurable functions whose norm-functions are in the usualL
p
. A left multiplier ofL
p
(G, X) is a bounded linear operator onB
p
(G, X) which commutes with all left translations. We use the characterization of isometries ofL
p
(G, X) onto itself to characterize the isometric, invertible, left multipliers ofL
p
(G, X) for 1 ≤p ∞,p ≠ 2, under the assumption thatX is not thel
p
-direct sum of two non-zero subspaces. In fact we prove that ifT is an isometric left multiplier ofL
p
(G, X) onto itself then there existsa y ∃ G and an isometryU ofX onto itself such thatTf(x) = U
(R
y
f)(x). As an application, we determine the isometric left multipliers of L1 ∩L
p
(G, X) and L1 ∩C
0
(G, X) whereG is non-compact andX is not the lp-direct sum of two non-zero subspaces. If G is a locally compact abelian group andH is a separable Hubert space, we define
where г is the dual group of G. We characterize the isometric, invertible, left multipliers ofA
p
(G, H), provided G is non-compact. Finally, we use the characterization of isometries ofC(G, X) for G compact to determine the isometric left multipliers ofC(G, X) providedX
*
is strictly convex. 相似文献
32.
For a non-degenerate pair of compact quantum groups, we first construct the quantum double as an algebraic compact quantum group in an algebraic framework. Then by adopting some completion procedure, we give the universal and reduced quantum double constructions in the correspondence C*-algebraic settings, which generalize Drinfeld's quantum double construction and yield new C*-algebraic compact quantum groups. 相似文献
33.
34.
It is shown that for every closed, convex and nowhere dense subset of a superreflexive Banach space there exists a Radon probability measure on so that for all . In particular, closed, convex, nowhere dense sets in separable superreflexive Banach spaces are Haar null. This is unlike the situation in separable nonreflexive Banach spaces, where there always exists a closed convex nowhere dense set which is not Haar null.
35.
用Rn空间具有矩阵展缩的Haar型小波基给出了局部Lipschitz函数Lipx0α(0<α<1)的一个刻画. 相似文献
36.
利用Haar小波变换进行模拟实验,实现了基于OMNeT++的无线传感器网络数据压缩算法的仿真架构,并对Haar小波数据压缩算法下的无线传感器网络诸参数,如能耗、压缩比和均方差等进行了仿真.仿真结果数据证明了该仿真器对算法仿真的有效性和可靠性. 相似文献
37.
Adaptive Algorithms of Nonlinear Approximation with Finite Terms 总被引:1,自引:0,他引:1
Wen Bin WEI Yue Sheng XU Pei Xin YE 《数学学报(英文版)》2007,23(9):1663-1672
This paper deals with realizable adaptive algorithms of the nonlinear approximation with finite terms based on wavelets. We present a concrete algorithm by which we may find the required index set Am for the greedy algorithm Gm^P(., Ψ). This makes the greedy algorithm realize the near best approximation in practice. Moreover, we study the efficiency of the finite-term approximation of another Mgorithm introduced by Birge and Massart. 相似文献
38.
A novel circular Haar wavelet (CHW), which is obtained by a radially distributed polarization state, is proposed. Optical wavelet transforms using the proposed CHW are implemented by computer simulations. The proposed CHW is shown to have remarkable features: (1) it is useful for detecting outlines of input images; (2) one polarization component is available for extracting an edge feature along a required direction; and (3) unlike the previously proposed CHW (Z. He and S. Sato: Opt. Lett. 19 (1994) 686), this one can be applied to a multi-resolution edge extraction (Y. Sheng, D. Roberge and H. H. Szu: Opt. Eng. 31 (1992) 1840). 相似文献
39.
A. N. Starkov 《Mathematical Notes》1999,66(2):233-239
Consider a connected Lie groupG, a lattice Γ inG, a connected subgroupH ofG, and the adjoint representation Ad ofG on its Lie algebra g. Suppose that Ad(H) splits into a semidirect product of a reductive subgroup and the unipotent radical. We prove that the minimality of the
leftH-action onG/Γ then implies its unique ergodicity. Simultaneously, we suggest a reduction of the study of finite ergodic measures for
an arbitrary action (G/Γ,H), where the subgroupH∈G is connected and Γ∈G is discrete, to the case of an Abelian subgroupH.
Translated fromMatematicheskie Zametki, Vol. 66, No. 2, pp. 293–301, August, 1999. 相似文献
40.
LIU Xiangqian 《清华大学学报》1999,(1):1311-1313
IntroductionItiswelknownthatafunctionmaybeapproximatedbyalinearcombinationofasetoforthogonalbasisfunctions.Inthelasttwentyyea... 相似文献