Some characterization of the Schwartz space and an analogue of the Paley- Wiener type theorem on rank 1 semisimple Lie groups
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Publication:1136024
DOI10.3792/pjaa.55.205zbMath0426.43011OpenAlexW2038855837WikidataQ115219982 ScholiaQ115219982MaRDI QIDQ1136024
Publication date: 1979
Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3792/pjaa.55.205
Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Analysis on other specific Lie groups (43A80)
Cites Work
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- 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
- A duality for symmetric spaces with applications to group representations. II: Differential equations and eigenspace representations
- Harmonic analysis on real reductive groups
- An analogue of the Paley-Wiener theorem for the Fourier transform on certain symmetric spaces
- On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups
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