On inversion of the Bessel and Gelfand transforms

DOI10.1090/S0002-9947-01-02866-5zbMath0979.22002OpenAlexW1518150160MaRDI QIDQ2759080

Masaaki Furusawa, Joseph A. Shalika

Publication date: 10 December 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02866-5

zbMATH Keywords

Plancherel measurereductive algebraic groupWhittaker modelSatake transformBessel model

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (4)

Local spectral equidistribution for Siegel modular forms and applications ⋮ The unramified computation of Rankin-Selberg integrals for \(\mathrm{SO}_{2l}\times\mathrm{GL}_ n\) ⋮ On central critical values of the degree four $L$-functions for $\mathrm {GSp}(4)$: The fundamental lemma. III ⋮ Local spectral equidistribution for degree two Siegel modular forms in level and weight aspects

Cites Work

• An integral transform and its applications
• Explicit formulas for the Waldspurger and Bessel models
• On central critical values of the degree four 𝐿-functions for GSp(4): the fundamental lemma
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