Whittaker-Shintani function for orthogonal groups

DOI10.2748/tmj/1113247445zbMath1037.22034OpenAlexW2088825391MaRDI QIDQ1422327

Takashi Sugano, Atsushi Murase, Shin-Ichi Kato

Publication date: 11 February 2004

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113247445

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (19)

Euler systems for \(\mathrm{GSp}(4)\) ⋮ An Euler system for \(\mathrm{GU}(2,1)\) ⋮ Refined global Gan-Gross-Prasad conjecture for Bessel periods ⋮ Unnamed Item ⋮ Multiplicity one theorems ⋮ An explicit formula of the unramified Shintani functions for \((\mathbf{GSp}_4, \mathbf{GL}_2 \times_{\mathbf{GL}_1} \mathbf{GL}_2)\) ⋮ The unramified computation of Rankin-Selberg integrals expressed in terms of Bessel models for split orthogonal groups. I ⋮ Whittaker-Shintani functions for general linear groups over \(p\)-adic fields ⋮ An explicit formula of the unramified Shintani functions for \((\mathbf{GSp}_4,\mathbf{GL}_2 \times_{\mathbf{GL}_1}\mathbf{GL}_2)\) and its application ⋮ The unramified computation of Rankin-Selberg integrals expressed in terms of Bessel models for split orthogonal groups. II ⋮ On norm relations for Asai–Flach classes ⋮ A spectral identity for second moments of Eisenstein series of \(\mathrm{O}(n,1)\) ⋮ SPHERICAL FUNCTIONS ON THE SPACE OF p-ADIC UNITARY HERMITIAN MATRICES ⋮ The unramified computation of Rankin-Selberg integrals for \(\mathrm{SO}_{2l}\times\mathrm{GL}_ n\) ⋮ Spherical functions on \(\text{Sp}_2\) as a spherical homogeneous \(\text{Sp}_2\times (\text{Sp}_1)^2\)-space ⋮ On the periods of automorphic forms on special orthogonal groups and the Gross-Prasad conjecture ⋮ On the uniqueness of Fourier Jacobi models for representations of 𝑈(𝑛,1) ⋮ Branching rules obtained from explicit correspondences of automorphic representations ⋮ Functional equations of spherical functions on \(p\)-adic homogeneous spaces

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• REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD
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