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Functional models and finite dimensional perturbations of the shift

✍ Scribed by Chafiq Benhida; Dan Timotin

Publisher: SP Birkhäuser Verlag Basel
Year: 1997
Tongue: English
Weight: 389 KB
Volume: 29
Category: Article
ISSN: 0378-620X
DOI: 10.1007/bf01191428

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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 , ..