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- W2334772261 abstract "In this paper we show two results. In the first result we consider $lambda_n-n=frac{A}{n^alpha}$ for $ninmathbb N$; if $alpha>1/2$ and $0<A<frac{1}{pisqrt{2 sqrt{2}zeta(2alpha)}}$, the system $left{operatorname{sinc}( lambda_n - t)right}_{ninmathbb N}$ is a Riesz basis for $PW_{pi}$. With the second result, we study the stability of $left{operatorname{sinc}( lambda_n - t)right}_{ninmathbb Z}$ for $lambda_ninmathbb C$; if $|lambda_n-n|leqq L<frac{1}{pi}, sqrtfrac{3alpha}{8}$, for all $ninmathbb Z$, then ${operatorname{sinc}(lambda_n-t)}_{ninmathbb Z}$ forms a Riesz basis for $PW_{pi}$. Here $alpha$ is the Lamb-Oseen constant." @default.
- W2334772261 created "2016-06-24" @default.
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- W2334772261 date "2016-03-29" @default.
- W2334772261 modified "2023-09-27" @default.
- W2334772261 title "Kadec-1/4 Theorem for Sinc Bases" @default.
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