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61.
设P[A,B]={f(z):f(z)(?)(1+Az)/(1-Bz),A+B≠0,|B|≤1,f(z)在单位开圆盘内解析}.定义函数族H_1,H_2,…,H_n的有限阶哈达玛乘积为H_1*H_2*H_3…*H_n(z)={f_1*f_2*f_3*…f_n(z):f_i∈H_i,i=1,2,…,n,n∈Z~+}.讨论并得到了P(A_1,B_1)*P(A_2,B_2)*P(A_3,B_3)*…*P(A_n,B_n)=P(X,Y)的充分必要条件,主要结果是对先前相应研究内容的直接推广. 相似文献
62.
HUANG Chao & YANG LiHua School of Mathematics Computing Science Sun Yat-sen University Guangzhou China Guangdong Province Key Laboratory of Computational Science 《中国科学 数学(英文版)》2011,(6)
As a typical family of mono-component signals,the nonlinear Fourier basis {eikθa(t)}k∈Z,defined by the nontangential boundary value of the M¨obius transformation,has attracted much attention in the field of nonlinear and nonstationary signal processing in recent years.In this paper,we establish the Jackson's and Bernstein's theorems for the approximation of functions in Xp(T),1 p ∞,by the nonlinear Fourier basis.Furthermore,the analogous theorems for the approximation of functions in Hardy spaces by the fin... 相似文献
63.
Let R(D) be the algebra generated in Sobolev space W22(D) by the rational functions with poles outside the unit disk D. In this paper the multiplication operators Mg on R(D) is studied and it is proved that Mg ~ Mzn if and only if g is an n-Blaschke product. Furthermore, if g is an n-Blaschke product, then Mg has uncountably many Banach reducing subspaces if and only if n > 1. 相似文献
64.
Javad Mashreghi Mahmood Shabankhah 《Journal of Mathematical Analysis and Applications》2009,357(2):498-503
Zero sets and uniqueness sets of the Dirichlet space are not completely characterized yet. There are sufficient conditions for zero sets and necessary conditions for uniqueness sets and there is a gap in between. Our goal is to take some preliminary steps to fill this gap. 相似文献
65.
Anne Greenbaum 《Linear algebra and its applications》2009,430(1):52-2352
Given an n by n matrix A, we look for a set S in the complex plane and positive scalars m and M such that for all functions p bounded and analytic on S and throughout a neighborhood of each eigenvalue of A, the inequalities
m·inf{‖f‖L∞(S):f(A)=p(A)}?‖p(A)‖?M·inf{‖f‖L∞(S):f(A)=p(A)} 相似文献
66.
Blaschke张量A是单位球面S~n中子流形的M?bius微分几何的一个基本不变量,而A的特征值称为Blaschke特征值.作者研究了S~n中具有平行Blaschke张量的子流形(简称为Blaschke平行子流形).主要结果是对S~n中具有3个不同Blaschke特征值的Blaschke平行子流形进行了完全的分类. 相似文献
67.
The problem of reconstructing a signal ψ(x) from its magnitude |ψ(x)| is of considerable interest to engineers and physicists.This article concerns the problem of determining a time-limited signal f with period 2π when |f(eix)| is known for x ∈ [-π,π].It is shown that the conditions |g(eix)| = |f(eix)| and |g(ei(x+b))-g(eix)| = |f(ei(x+b))-f(eix)|,b = 2π,together imply that either g = wf or g = vf,where both w and v have period b.Furthermore,if 2bπ is irrational then the functions w and v reduce to some constants c1 and c2,respectively;if 2bπ is rational then w takes the form w=eiαB1(eix)B2(eix) and v takes the form ei(x2πN/b+α)B1(eix)B2(eix),where B1 and B2 are Blaschke products. 相似文献
68.
Franz E. Schuster 《Transactions of the American Mathematical Society》2007,359(11):5567-5591
Rotation intertwining maps from the set of convex bodies in into itself that are continuous linear operators with respect to Minkowski and Blaschke addition are investigated. The main focus is on Blaschke-Minkowski homomorphisms. We show that such maps are represented by a spherical convolution operator. An application of this representation is a complete classification of all even Blaschke-Minkowski homomorphisms which shows that these maps behave in many respects similar to the well known projection body operator. Among further applications is the following result: If an even Blaschke-Minkowski homomorphism maps a convex body to a polytope, then it is a constant multiple of the projection body operator.
69.
给出并证明了单位球面上Moebius形式平行的满足条件A+λg+μ(B,ξ)=0的无脐点超曲面一定是Moebius形式消失的. 相似文献
70.
We present recent work of harmonic and signal analysis based on the complex Hardy space approach. 相似文献