Image of \(L^{p}(\mathbb R^{n})\) under the Hermite semigroup
type: Item
instance of: scholarly article
title: Image of \(L^{p}(\mathbb R^{n})\) under the Hermite semigroup
zbMATH Open document ID: 1180.47029
DOI: 10.1155/2008/287218
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2009-03-30T00:00:00Z
review text: The image of the weighted \(L^{p}(\mathbb R^{n})\) space under the Hermite polynomial semigroup \(\{e^{-t\mathbb H}: t>0\}\) is investigated. A necessary and sufficient condition is obtained for the image of the weighted \(L^{2}(\mathbb R^{n})\) space.
reviewed by: Ferenc Weisz
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 47B38
zbMATH DE Number: 5534772
zbMATH Keywords: Hermite polynomial
zbMATH Keywords: Hermite semigroup
zbMATH Keywords: Hermite Bargmann transform
Wikidata QID: Q58645445
author: R. Radha
author: D. Venku Naidu
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2008/287218
OpenAlex ID: W1575389627
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description: scientific article; zbMATH DE number 5534772