Completeness of the system {z(lambda n)} in L(2)[B, alpha(0)]

作者：Ning Ju Hong^*; Deng Guan Tie

来源：Acta Mathematica Sinica-English Series, 2008, 24(12): 2101-2110.

DOI：10.1007/s10114-008-5317-2

• completeness
• unbounded domain
• Hilbert space

Let B be an unbounded domain located outside an angle domain with vertex at the origin, Lambda = {lambda(n)}(n = 1, 2,...) be a sequence of complex numbers satisfying sup | arg(lambda(n) )| < alpha < pi/2 and denote by M(Lambda) = {z(lambda), lambda epsilon Lambda} the corresponding system of functions z(lambda)(lambda epsilon Lambda). Let alpha(0)(z) be a weight function defined on B. We obtain a completeness theorem for the system M(Lambda) in the Hilbert space L(2)[B,alpha(0)].

• 单位
  北京师范大学; 江西师范大学