On the Completeness of the System {zλnlog⁡jz} in La2

Let La2(Ω) denote a Hilbert space consisting of analytic functions on an unbounded domain Ω located outside an angle domain with vertex at the origin. We obtain a completeness theorem for the system MΛ={zλnlog⁡jz,j=0,1,…,mn-1}n=1∞, in La2(Ω).

Bibliographic Details
Main Author: Xiangdong Yang
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/790728