Operator-valued continuous Gabor transforms over non-unimodular locally compact groups

DOI10.1007/S00009-017-0936-4zbMath1375.43003OpenAlexW2615353618WikidataQ59607325 ScholiaQ59607325MaRDI QIDQ1674217

Arash Ghaani Farashahi

Publication date: 1 November 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-017-0936-4

zbMATH Keywords

Fourier transformirreducible representationPlancherel measurePlancherel formulaunitary representationprimary representationnon-unimodular groupcontinuous Gabor transformmeasurable field of operatorstype I group

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Other transforms and operators of Fourier type (43A32) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

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