Vector-valued cosine transforms
type: Item
instance of: scholarly article
title: Vector-valued cosine transforms
zbMATH Open document ID: 1119.47045
published in: Semigroup Forum
publication date: 2006-03-22T00:00:00Z
review text: In the first part of the paper, vector-valued cosine and sine transforms on a Banach space and the associated functional calculi are introduced. Next, using the cosine transforms, the author gives different, equivalent assertions to characterize the cosine functions. As application, a result of \textit{V.\,Keyantuo} and \textit{P.\,Vieten} [Stud.\ Math.\ 129, No.\,2, 137--156 (1998; Zbl 0910.47035)] is proved with the new approach. Corresponding results for sine functions are also provided.
Mathematics Subject Classification ID: 47D09
Mathematics Subject Classification ID: 44A20
Mathematics Subject Classification ID: 42A38
zbMATH DE Number: 5014175
zbMATH Keywords: cosine functions
zbMATH Keywords: sine functions
zbMATH Keywords: transforms
author: Pedro J. Miana
MaRDI profile type: Publication
full work available at URL: s00233-005-0519-8
OpenAlex ID: W2024401654
DOI: 10.1007/S00233-005-0519-8
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description: scientific article; zbMATH DE number 5014175