Contemporary Mathemati s A Cau hy - Green Formula on the Unit Sphere in C 2

Mathemati s Approximation by CR Fun tions on the Unit Sphere in C 2

The Lifespan of Solutions to Nonlinear Systems of High Dimensional Wave Equation

OF HIGH DIMENSIONAL WAVE EQUATION Vladimir Georgiev1 and Hiroyuki Takamura2 and Zhou Yi3 1Dipartimento di Matemati a "L.Tonelli, Università di Pisa, Via F. Buonarroti 2, 56127 Pisa, Italy. e-mail: georgiev dm.unipi.it 2Institute of Mathemati s, University of Tsukuba Tsukuba Ibaraki 305-8571, Japan. e-mail: takamura math.tsukuba.a .jp 3Institute of Mathemati s, Fudan University Shanghai 200433, ...

Linear Weingarten hypersurfaces in a unit sphere

In this paper, by modifying Cheng-Yau$'$s technique to complete hypersurfaces in $S^{n+1}(1)$, we prove a rigidity theorem under the hypothesis of the mean curvature and the normalized scalar curvature being linearly related which improve the result of [H. Li, Hypersurfaces with constant scalar curvature in space forms, {em Math. Ann.} {305} (1996), 665--672].  

Fast and Accurate Con-Eigenvalue Algorithm for Optimal Rational Approximations

Abstra t. The need to ompute small on-eigenvalues and the asso iated on-eigenve tors of positive-de nite Cau hy matri es naturally arises when onstru ting rational approximations with a (near) optimally small L error. Spe i ally, given a rational fun tion with n poles in the unit disk, a rational approximation with m ≪ n poles in the unit disk may be obtained from the mth on-eigenve tor of an n...

On a Chomsky like Hierar hy of In nite