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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

On fundamental sequences of translates


Author: R. A. Zalik
Journal: Proc. Amer. Math. Soc. 79 (1980), 255-259
MSC: Primary 42A65; Secondary 41A30
DOI: https://doi.org/10.1090/S0002-9939-1980-0565350-4
MathSciNet review: 565350
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Abstract: We find Müntz-type theorems for sequences of the form $ \{ f(t + {c_n})\} $ or $ \{ \exp ( - {c_n}t)f(t)\} $ on $ [0,\infty )$.


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DOI: https://doi.org/10.1090/S0002-9939-1980-0565350-4
Keywords: Approximation by sequences of translates, entire functions of exponential type, holomorphic Fourier transform, Fourier-Stieltjes transform, inversion, Parseval's formula, Paley-Wiener, Hahn-Banach, Riesz representation theorem
Article copyright: © Copyright 1980 American Mathematical Society

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