Sequential generalized transforms on function space
type: Item
instance of: scholarly article
title: Sequential generalized transforms on function space
zbMATH Open document ID: 1296.46041
DOI: 10.1155/2013/565832
author: Jae Gil Choi
author: Hyun Soo Chung
author: Seung Jun Chang
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We define two sequential transforms on a function space \(C_{a,b}[0,T]\) induced by a generalized Brownian motion process. We then establish the existence of the sequential transforms for functionals in a Banach algebra of functionals on \(C_{a,b}[0,T]\). We also establish that any one of these transforms acts like an inverse transform of the other transform. Finally, we give some remarks about certain relations between our sequential transforms and other well-known transforms on \(C_{a,b}[0,T]\).
Mathematics Subject Classification ID: 46G12
Mathematics Subject Classification ID: 60H05
Mathematics Subject Classification ID: 44A99
zbMATH DE Number: 6307007
zbMATH Keywords: sequential transforms
zbMATH Keywords: function space
Wikidata QID: Q58917134
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/565832
OpenAlex ID: W2087649523
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description: scientific article; zbMATH DE number 6307007