A Class of riesz-fischer sequences

Document Type

Article

Publication Date

1-1-1995

Abstract

It is proved that if (λn) is a sequence of real numbers whose differences are nondecreasing and satisfy then tne set of complex exponentials is a Riesz-Fischer sequence in L2[–A, A] for every A > 0, which is to say that for any positive A, the equations admit a solution /in L2[-A, A] for every sequence In particular is a Riesz-Fischer sequence when p > ½. © 1995 American Mathematical Society.

Publication Title

Proceedings of the American Mathematical Society

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