On approximation by shifts and a theorem of Wiener
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- by R. A. Zalik
- Trans. Amer. Math. Soc. 243 (1978), 299-308
- DOI: https://doi.org/10.1090/S0002-9947-1978-0493077-1
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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
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Bibliographic Information
- © Copyright 1978 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 243 (1978), 299-308
- MSC: Primary 41A30
- DOI: https://doi.org/10.1090/S0002-9947-1978-0493077-1
- MathSciNet review: 0493077