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A Method for Generating Uniformly Scattered Points on the L p-norm Unit Sphere and Its Applications
Generating Uniformly Scattered Points L p-norm Unit Sphere and Its Applications
2015/3/20
A Method for Generating Uniformly Scattered Points on the L p-norm Unit Sphere and Its Applications.
A Method for Generating Uniformly Scattered Points on the L p-norm Unit Sphere and Its Applications
Generating Uniformly Scattered Points L p-norm Unit Sphere
2015/3/18
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...
A Central Limit Theorem for a sequence of Brownian motions in the unit sphere in $\mathbb{R}^{n}$
Central Limit Theorem Brownian motion in the unit sphere in Rn OrnsteinUhlenbeck processes
2011/9/13
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...
Polynomial Approximation in Sobolev Spaces on the Unit Sphere and the Unit Ball
Polynomial Sobolev Spaces Unit Sphere Unit Ball
2010/11/18
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.
Rigidity Theorem of Hypersurfaces with Constant Scalar Curvature in a Unit Sphere
principal curvature Clifford torus Gauss equations
2007/12/12
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(...
The Isometric Extension of the into Mapping from the Unit Sphere $S(l^\infty_{(2)})$ to $S(L^1(\mu))^1$
isometric mapping isometric extension
2007/12/12
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...
Covering Lemma on the Unit Sphere and Application to the Fourier--Laplace Convergence
sphere covering lemma Fourier--Laplace series a.e. convergence
2007/12/11
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...