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The optimal approximations of functions by a finite number of their fourier coefficients

✍ Scribed by N.M. Andrushevskii; N.P. Zhidkov; B.M. Shchedrin

Publisher
Elsevier Science
Year
1978
Weight
351 KB
Volume
18
Category
Article
ISSN
0041-5553

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Stability of the Shifts of a Finite Numb
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✍ Rong-Qing Jia πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 226 KB

Let , 1 , ..., , n be compactly supported distributions in L p (R s ) ( 0<p). We say that the shifts of , 1 , ..., , n are L p -stable if there exist two positive constants C 1 and C 2 such that, for arbitrary sequences a 1 , ..., a n # l p (Z s ), In this paper we prove that the shifts of , 1 , ..