The horospheric approach to harmonic analysis on a semi-simple Lie group

DOI10.1016/0034-4877(74)90009-3zbMath0304.43012OpenAlexW2007187016WikidataQ115364255 ScholiaQ115364255MaRDI QIDQ1216801

N. W. Macfadyen

Publication date: 1974

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(74)90009-3

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (3)

A Laplace transform on the Lorentz groups. II: The general case ⋮ Harmonic analysis on reductive Lie groups ⋮ The 𝒫(𝜑)₂ Model on de Sitter Space

Cites Work

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• A continuous analogue of Schur’s lemma and its application to Plancherel’s formula for complex classical groups
• Unitary representations of real simple Lie groups
• APPLICATIONS OF THE RADON TRANSFORM TO REPRESENTATIONS OF SEMISIMPLE LIE GROUPS
• Conformal Group in a Poincaré Basis. I. Principal Continuous Series
• Conformal group in a Poincaré basis. II. Principal discrete series
• Duality and Radon Transform for Symmetric Spaces

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