首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到19条相似文献,搜索用时 62 毫秒
1.
多项式系在月形区域中的完备性   总被引:2,自引:0,他引:2  
设Δ为复平面上拓扑等价于边界为两个内切于一点z=0的圆的所谓月形区域.它是一种典型的非Caratheodory区域. 设K(r)为定义于(0,1)上的正函数.以C_k(Δ)表示这样的函数族:如f(z)∈C_k(Δ),则f(z)在Δ内解析,在Δ上除了点z=0外连续,且  相似文献   

2.
A necessary and sufficient condition is obtained for the complex exponential system to be dense in the weighted Banach space Lpα = {f : f∞-∞ |f(t)e-α(t)|pdt ∞}, where 1 ≤ p + ∞and α(t) is a nonnegative continuous function on R.  相似文献   

3.
对直线上的非负凸函数α,设Cα是由直线R上所有满足当t趋向无穷大时,f(t)exp(-α(t))趋向零的复连续函数f全体,在一致范数下,Cα是Banach空间.文中得到了复指数系在Cα中完备的充要条件.  相似文献   

4.
邓冠铁 《数学年刊A辑》2005,26(4):537-542
对直线上的非负凸函数α,设Cα是由直线R上所有满足当t趋向无穷大时,f(t)exp(-α(t))趋向零的复连续函数f全体,在一致范数下,Cα是Banach空间.文中得到了复指数系在Cα中完备的充要条件.  相似文献   

5.
刘有明 《数学年刊A辑》2003,24(2):225-230
本文证明了如下两个结果.(1)设g∈L2(R)具有紧支集且有界,若{e2πixmtg(t-yn)}为一Gabor标架,则存在正常数A,B,使A≤∑|g(t-yn)|2≤B几乎处处成立.(2)设g∈L2(R)具有紧支集且ab为正有理数,则{e2πmbtg(t-na)}在L2(R)中完备的充分且必要条件是0<ab≤1且sup|g(t-na)|>0几乎处处成立.  相似文献   

6.
沈燮昌 《中国科学A辑》1986,29(4):369-377
设G是复平面上满足一定条件的Jordan单连通区域,G是的余区域。设{bk}是位于G中点列,它们中可以有相同的。本文在对{bk}加上一些条件,利用、{bk}构造一个G上解析函数系{pk(1/p)(z)},p>1,研究它在空间E+p(G)上的不完备性问题,其闭包的特征性质及基的问题。  相似文献   

7.
得到了随机指数系在加权Banach空间C_α中完备和极小的充要条件,其中C_α是实直线R上的复连续函数在权α的一致范数下组成的Banach空间.这些结果可以看作是Malliavin经典结果的概率推广.  相似文献   

8.
得到了随机指数系在加权Banach空间Cα中完备和极小的充要条件,其中Cα是实直线R上的复连续函数在权α的一致范数下组成的Banach空间.这些结果可以看作是Malliavin经典结果的概率推广.  相似文献   

9.
Necessary and sufficient conditions are obtained for the incompleteness and the minimality of the exponential system E(Λ,M) = {z l e λ n z : l = 0,1,...,m n-1;n = 1,2,...} in the Banach space E 2 [σ] consisting of some analytic functions in a half strip.If the incompleteness holds,each function in the closure of the linear span of exponential system E(Λ,M) can be extended to an analytic function represented by a Taylor-Dirichlet series.Moreover,by the conformal mapping ζ = φ(z) = e z ,the similar results hold for the incompleteness and the minimality of the power function system F (Λ,M) = {(log ζ) l ζ λ n : l = 0,1,...,m n-1;n = 1,2,...} in the Banach space F 2 [σ] consisting of some analytic functions in a sector.  相似文献   

10.
给出实数系完备性基本定理的等价性的一种证明方法.  相似文献   

11.
Mathematical Notes - In the paper, it is proved that almost all quasigroups are strongly polynomially complete, i.e., are not isotopic to quasigroups that are not polynomially complete.  相似文献   

12.
We construct norming meshes with cardinality 𝒪(n s ), s = 3, for polynomials of total degree at most n on the closure of bounded planar Lipschitz domains. Such cardinality is intermediate between optimality (s = 2), recently obtained by Kroó on multidimensional C 2 star-like domains, and that arising from a general construction on Markov compact sets due to Calvi and Levenberg (s = 4).  相似文献   

13.
We establish conditions for the existence of a unital divisor for a polynomial matrix over an integral domain of characteristic zero in the case where its eigenvalues are known.  相似文献   

14.
Wandering Domains in Non-Archimedean Polynomial Dynamics   总被引:1,自引:0,他引:1  
We extend a recent result on the existence of wandering domainsof polynomial functions defined over the p-adic field Cp toany algebraically closed complete non-archimedean field CK withresidue characteristic p > 0. We also prove that polynomialswith wandering domains form a dense subset of a certain one-dimensionalfamily of degree p + 1 polynomials in CK[Z]. 2000 MathematicsSubject Classification 12J25 (primary), 37F99 (secondary).  相似文献   

15.
Foundations of Computational Mathematics - We present a probabilistic Las Vegas algorithm for solving sufficiently generic square polynomial systems over finite fields. We achieve a nearly...  相似文献   

16.
一类扰动多项式系统极限环   总被引:1,自引:0,他引:1  
本文对一类多项式扰动系统的极限环进行了研究,得到了极限环个数的上界估计,弥补了文献[2]主要定理的不足.  相似文献   

17.
18.
该文采用了新的方法来研究由整函数组成的满足 ( ∫∫C| f(z)|pe-α(|z|)dmz)1/p <∞ (1 < p <∞) 的Fock型空间中随机指数函数系的完备性. 还对于实轴上的加权Banach 空间讨论了类似的问题  相似文献   

19.
It is shown that the property of completeness of the Bergman metric of a planar domain whose complement is not a polar set, is a local one.  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号