On the completeness of the system {zτn} in L2

[摘要] Given an unbounded domain Omega located outside an angle domain with vertex at the origin, and a sequence of distinct complex numbers {tau(n)} (n = 1, 2,...) satisfying (n)/(\taun\) --> D as n --> infinity with 0 < D < infinity, and \arg(tau(n))\ < alpha < (pi)/(2), we obtain a completeness theorem for the system {z(taun)} (n = 1, 2,...) in L-a(2)[Omega]. The case with weight is also a considered. (C) 2002 Elsevier Science (USA).

[发布日期] 2002-09-01

[关键词] mean square approximation;complex Muntz theorem;unbounded domain