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141.
Nils Byrial Andersen 《Journal of Mathematical Analysis and Applications》2003,288(1):124-135
We prove real Paley-Wiener theorems for the (inverse) Jacobi transform, characterising the space of L2-functions whose image under the Jacobi transform are (smooth) functions with compact support. 相似文献
142.
本文引进了H-值半鞅测度,研究了其基本性质和与之相联系的随机积分,本文还引入了H-值半鞅测度序列依分布弱收敛的概念,建立了H-值半鞅测度的极限定理,给出了H-值半鞅测度弱收敛的条件。 相似文献
143.
Exact L
2 Small Balls of Gaussian Processes 总被引:3,自引:3,他引:0
We prove a comparison theorem extending Li(6) and develop a complex-analytic approach to treat L
2 small ball probabilities of Gaussian processes. We demonstrate the techniques for the m-times integrated Brownian motions and in examples where one can not apply Li comparison theorem. 相似文献
144.
Hans Georg Schaathun 《Designs, Codes and Cryptography》2004,31(1):27-42
A greedy 1-subcode is a one-dimensional subcode of minimum (support) weight. A greedy r-subcode is an r-dimensional subcode with minimum support weight under the constraint that it contain a greedy (r - 1)-subcode. The r-th greedy weight e
r is the support weight of a greedy r-subcode. The greedy weights are related to the weight hierarchy. We use recent results on the weight hierarchy of product codes to develop a lower bound on the greedy weights of product codes. 相似文献
145.
本文给出一类带由边界的调和映射的Liouville型定理,这种类型的定理在微分几何的一些问题中有十分重要的应用.我们通过对调和映射的能量选取特殊的变分族,得到任意从半空间的简单流形到一黎曼流形的带自由边界的调和映射在如果满足适当的条件(见定理)必为常值映射的结果. 相似文献
146.
We introduce a generalized dot product and provide some embedding conditions under which the genus of a graph does not rise
under a dot product with the Petersen graph. Using these conditions, we disprove a conjecture of Tinsley and Watkins on the
genus of dot products of the Petersen graph and show that both Grünbaum’s Conjecture and the Berge-Fulkerson Conjecture hold
for certain infinite families of snarks. Additionally, we determine the orientable genus of four known snarks and two known
snark families, construct a new example of an infinite family of snarks on the torus, and construct ten new examples of infinite
families of snarks on the 2-holed torus; these last constructions allow us to show that there are genus-2 snarks of every
even order n ≥ 18. 相似文献
147.
W
adys
aw Kulpa 《Topology and its Applications》2003,130(3):33-258
If f maps continuously a compact subset X of Rn into Rn and x is a point whose distance from the boundary ∂X is greater than double diameter of the fibres of the points in f(∂X) then f(x) is in the interior of f(X). This theorem extends some results due to Borsuk and Sitnikov. 相似文献
148.
Multi-input multi-output (MIMO) sampling scheme which is motivated by applications in multi-channel deconvolution and multi-source separation has been investigated in many aspects. Common for most of results on MIMO systems is that the input signals are supposed to be band-limited. In this paper, we study vector sampling expansions on general finitely generated shift-invariant subspaces. Necessary and sufficient conditions for a vector sampling theorem to hold are given. We also give several examples to illustrate the main result. 相似文献
149.
J. P. Raymond 《Journal of Optimization Theory and Applications》1990,67(1):109-132
We give existence theorems of solutions for Lagrange and Bolza problems of optimal control. These results are obtained without convexity assumptions on the cost function with respect to the control variable. We extend a Cesari's theorem to cost functions which are nonlinear with respect to the space variable and to problems which are governed by a differential inclusion. Moreover, we consider the case where the control variable belongs to a space of measurable functions and the case where this variable belongs to a Lebesgue space. 相似文献
150.
Separation theorems for an arbitrary set and a not necessarily convex set in a linear topological space are proved and applied to vector optimization. Scalarization results for weakly efficient points and properly efficient points are deduced. 相似文献