PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)Vol. 71(85), pp. 3--7 (2002)
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PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 71(85), pp. 3--7 (2002) |
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POSITIVITY ZONES AND NORMS OF $\pmb n$-FOLD CONVOLUTIONS - IBogdan M. BaishanskiDepartment of Mathematics, The Ohio State University, 231 W. 18th Ave., Columbus, OH 43210-1174Abstract: A general class of sequences $a=\{a_k:-\infty<k<\infty\}$ of real numbers is described which has the property that there exist numbers $c_1,c_2,N$ such that $a_{nk}>0$ for $n>N$, $c_1n\le k\le c_2n$, where $\{a_{nk}:-\infty<k<\infty\}$ is defined as the $n$-fold convolution $a*a*\cdots*a$ of $a$. Classification (MSC2000): 42A16;42A85;41A58;41A60; 11P99;60F10 Full text of the article:
Electronic fulltext finalized on: 19 Feb 2003. This page was last modified: 20 Feb 2003.
© 2003 Mathematical Institute of the Serbian Academy of Science and Arts
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