Approximating Fourier transformation of orbital integrals

DOI10.1016/j.jmaa.2004.04.024zbMath1051.22002OpenAlexW2102451785MaRDI QIDQ1877806

C. K. Arthur Lim

Publication date: 19 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.04.024

zbMATH Keywords

Fourier transformPlancherel formulaorbital integralreal reductive Lie group

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Cites Work

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• Orbital integrals in reductive groups
• The Fourier transform on semisimple Lie groups of real rank one
• Harmonic analysis on real reductive groups. I: The theory of the constant term
• Harmonic analysis on real reductive groups. III: The Maass-Selberg relations and the plancherel formula
• Harmonic analysis on real reductive groups. II: Wave-packets in the Schwartz space
• Inversion formula of orbital integrals on reductive Lie groups
• On the transfer of distributions: Weighted orbital integrals
• Discrete series for semisimple Lie groups. I: Construction of invariant eigendistributions
• Fourier Inversion and the Plancherel Theorem for Semisimple Real Lie Groups
• Fourier Inversion for Unipotent Invariant Integrals
• The action of a real semisimple Lie group on a complex flag manifold. II. Unitary representations on partially holomorphic cohomology spaces
• Lie groups beyond an introduction