The Multivariate Müntz-Szasz Problem in Weighted Banach Space onRn

Xiangdong Yang
2014 Abstract and Applied Analysis  
The purpose of this paper is to give an extension of Müntz-Szasz theorems to multivariable weighted Banach space. Denote by{λk=(λk1,λk2,...,λkn)}k=1∞a sequence of real numbers inR+n. The completeness of monomials{tλk}inCαis investigated, whereCαis the weighted Banach spaces which consist of complex continuous functionsfdefined onRnwithf(t)exp(-α(t))vanishing at infinity in the uniform norm.
doi:10.1155/2014/342826 fatcat:yl2xe5pfgjekvpnn2tsm76em3e