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搜索结果: 1-9 共查到理学 unit sphere相关记录9条 . 查询时间(0.07 秒)
In this paper we propose a method associated with an algorithm for generating uniformly scattered points on the the Lp-norm unit sphere and discuss its applications in statistical simulation, repres...
Abstract: We use a Stochastic Differential Equation satisfied by Brownian motion taking values in the unit sphere $S_{n-1}\subset\mathbb{R}^{n}$ and we obtain a Central Limit Theorem for a sequence of...
This work is a continuation of the recent study by the authors on approximation theory over the sphere and the ball. The main results define new Sobolev spaces on these domains and study polynomial ap...
本注记中,我们主要阐明了块空间与Hardy空间的关系,从而得到$B^{0,\nu}_{q}(S^{n-1})\subset H^{1}(S^{n-1})+L(ln^{+})^{1+\nu}(S^{n-1}),\ \nu>-1, \ q>1$. 进一步,当$\nu\geq 0, \ q>1$ ,块空间$B^{0,\nu}_{q}(S^{n-1})$ 是Hardy空间的真子空间.
In this paper, we give a characterization of tori $S^1\left(\sqrt{\frac{nr+2-n}{nr}}\right)\times S^{n-1}\left(\sqrt{\frac{n-2}{nr}}\right)$ and $S^m\left(\sqrt{\frac{m}{n}}\right)\times S^{n-m}\left(...
This is the first paper to consider the isometric extension problem of an into-mapping between the unit spheres of two different types of spaces. We prove that, under some conditions, an into-isometri...
A covering lemma on the unit sphere is established and then is applied to establish an almost everywhere convergence test of Marcinkiewicz type for the Fourier--Laplace series on the unit sphere wh...
In this paper we study the problem of characterizing the real Banach spaces whose unit sphere determines polynomials, i.e., if two polynomials coincide in the unit sphere, is this sufficient to guaran...

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