The Fourier transform for nilpotent locally compact groups. I

DOI10.2140/pjm.1977.73.307zbMath0396.43013OpenAlexW2021418599MaRDI QIDQ1253397

Roger E. Howe

Publication date: 1977

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

Full work available at URL: https://doi.org/10.2140/pjm.1977.73.307

zbMATH Keywords

Fourier TransformRepresentation of Lie GroupsCampbell-Hausdorff FormulaCcr RepresentationLie-RingNilpotent GroupsQuasiperiodic Elements

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Unitary representations of locally compact groups (22D10) Nilpotent and solvable Lie groups (22E25) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

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