-semigroups and resolvent operators approximated by Laguerre expansions

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• 作者：Luciano Abadias ^{labadias@unizar.es} ; Pedro J. Miana ; ^{pjmiana@unizar.es}
• 关键词：primary ; 33C45 ; 47D06 ; secondary ; 41A35 ; 47A60
• 刊名：Journal of Approximation Theory
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：213
• 期：Complete
• 页码：1-22
• 全文大小：337 K
• 卷排序：213

文摘

In this paper we introduce Laguerre expansions to approximate vector-valued functions. We apply this result to approximate C0C0-semigroups and resolvent operators in abstract Banach spaces. We study certain Laguerre functions in order to estimate the rate of convergence of these expansions. Finally, we illustrate the main results of this paper with some examples: shift, convolution and holomorphic semigroups, where the rate of convergence is improved.