Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



On approximation by shifts and a theorem of Wiener

Author: R. A. Zalik
Journal: Trans. Amer. Math. Soc. 243 (1978), 299-308
MSC: Primary 41A30
MathSciNet review: 0493077
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We study the completeness in $ {L_2}(R)$ of sequences of the form $ \{ f({c_n} - t)\} $, where $ \{ {c_n}\} $ is a sequence of distinct real numbers. A Müntztype theorem is proved, valid for a large class of functions and, in particular, for $ f(t) = \exp ( - {t^2})$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 41A30

Retrieve articles in all journals with MSC: 41A30

Additional Information

Keywords: Approximation by sequences of shifts in $ {L_2}(R)$, entire functions of order 2, Fourier inversion
Article copyright: © Copyright 1978 American Mathematical Society