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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 2
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Original Articles

Approximation of semigroups and cosine functions in spaces of periodic functions

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Pages 167-186 | Received 04 Jan 2004, Accepted 06 Nov 2006, Published online: 22 Feb 2007
 

Abstract

In this article we furnish a representation of the solutions of some classes of first-order and second-order evolution problems as limit of iterates of classical sequences of approximating operators. The method is based on Trotter's theorem on the approximation of semigroups which is applied here also for the approximation of groups and cosine functions. We apply this method in spaces of continuous periodic functions and using some classical sequences of trigonometric polynomials.

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