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Application of the mean ergodic theorem to certain semigroups
Author(s) -
Gerd Herzog,
Christoph Schmoeger
Publication year - 2008
Publication title -
publications de l institut mathematique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 17
eISSN - 1820-7405
pISSN - 0350-1302
DOI - 10.2298/pim0897049h
Subject(s) - ergodic theory , invertible matrix , mathematics , pure mathematics , cauchy distribution , discrete mathematics , combinatorics , mathematical analysis
We study the asymptotic behaviour of solutions of the Cauchy problem u = n j=1(Aj + A −1 j ) − 2nI u, u(0) = x as t →∞ , for invertible isometries A1,...,An.

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