A unified group theoretical method for the partial Fourier analysis on semi-direct product of locally compact groups

DOI10.1007/s00025-014-0407-1zbMath1315.43004arXiv1201.1179OpenAlexW2094007006MaRDI QIDQ2258335

Arash Ghaani Farashahi

Publication date: 3 March 2015

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.1179

zbMATH Keywords

inversion formulacharacter groupPlancherel theoremPontrjagin dualityParseval formulapartial Fourier transform\(\tau\)-dual group\(\tau\)-Fourier transformpartial dual groupsemi-direct product of locally compact groups

Mathematics Subject Classification ID

Automorphism groups of locally compact groups (22D45) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (3)

Operator-valued continuous Gabor transforms over non-unimodular locally compact groups ⋮ Abstract Poisson summation formulas over homogeneous spaces of compact groups ⋮ ABSTRACT HARMONIC ANALYSIS OF RELATIVE CONVOLUTIONS OVER CANONICAL HOMOGENEOUS SPACES OF SEMIDIRECT PRODUCT GROUPS

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