Weyl transform and generalized spectrogram associated with quaternion Heisenberg group
type: Item
instance of: scholarly article
title: Weyl transform and generalized spectrogram associated with quaternion Heisenberg group
zbMATH Open document ID: 1243.43004
author: Li Chen
author: Jian Zhao
published in: Bulletin des Sciences Mathématiques
publication date: 2012-03-22T00:00:00Z
review text: The authors define the Weyl transform and the generalized spectrogram associated with the quaternion Heisenberg group. The boundedness of this transform on \(L^p(Q,dv)\) is shown under corresponding conditions of its symbol. Also, \(L^p\) estimates and the Lieb uncertainty principle are obtained for the spectrogram defined on the quaternion Heisenberg group.
Mathematics Subject Classification ID: 43A80
Mathematics Subject Classification ID: 34B20
Mathematics Subject Classification ID: 81R15
zbMATH DE Number: 6017076
zbMATH Keywords: quaternion Heisenberg group
zbMATH Keywords: Wigner transform
zbMATH Keywords: Weyl transform
zbMATH Keywords: spectrogram
MaRDI profile type: Publication
full work available at URL: j.bulsci.2011.12.002
OpenAlex ID: W1966047933
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DOI: 10.1016/J.BULSCI.2011.12.002
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description: scientific article; zbMATH DE number 6017076