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Some equivalent multiresolution conditions on locally compact abelian groups

✍ Scribed by R. A. Kamyabi-Gol; R. Raisi Tousi

Book ID: 107589393
Publisher: Indian Academy of Sciences
Year: 2010
Tongue: English
Weight: 179 KB
Volume: 120
Category: Article
ISSN: 0253-4142
DOI: 10.1007/s12044-010-0033-0

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## Abstract We prove limit theorems for row sums of a rowwise independent infinitesimal array of random variables with values in a locally compact Abelian group. First we give a proof of Gaiser's theorem [4, Satz 1.3.6], since it does not have an easy access and it is not complete. This theorem giv