\(L^p\)-multipliers for the Hilbert space valued functions on the Heisenberg group
type: Item
instance of: scholarly article
title: \(L^p\)-multipliers for the Hilbert space valued functions on the Heisenberg group
zbMATH Open document ID: 1193.42073
author: Jitendriya Swain
author: R. Radha
published in: Monatshefte für Mathematik
publication date: 2010-04-30T00:00:00Z
review text: It is well-known that if \(m\) is an \(L^p\)-multiplier for the Fourier transform on \(\mathbb R^n\) \((1<p<\infty)\) then there exists a pseudomeasure \(\sigma\) such that \(T_mf=\sigma*f\). The authors discuss that similar results hold for the \(L^p\)-Fourier multipliers of \(\mathcal H\)-valued functions on the Heisenberg group, where \(\mathcal H\) is a separable Hilbert space.
reviewed by: Kôzô Yabuta
Mathematics Subject Classification ID: 42B15
Mathematics Subject Classification ID: 43A22
zbMATH DE Number: 5702944
zbMATH Keywords: multiplier
zbMATH Keywords: Fourier multiplier
zbMATH Keywords: Heisenberg group
zbMATH Keywords: Hilbert space valued function
zbMATH Keywords: unitary representation
MaRDI profile type: Publication
full work available at URL: s00605-009-0132-0
OpenAlex ID: W2060650908
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DOI: 10.1007/S00605-009-0132-0
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description: scientific article; zbMATH DE number 5702944