An orthogonality relation for spherical characters of supercuspidal representations

DOI10.2140/PJM.2017.290.247zbMath1380.11070arXiv1506.07968OpenAlexW1933040792MaRDI QIDQ2363595

Chong Zhang

Publication date: 20 July 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07968

zbMATH Keywords

spherical charactersupercuspidal representation

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (2)

Periods and nonvanishing of central \(L\)-values for \(\mathrm{GL}(2n)\) ⋮ Local periods for discrete series representations

Cites Work

• Local periods for discrete series representations
• Cuspidal geometry of p-adic groups
• Supercuspidal Gelfand pairs
• Orbits, invariants, and representations associated to involutions of reductive groups
• Harmonic analysis on reductive \(p\)-adic groups. Notes by G. van Dijk
• Admissible distributions on p-adic symmetric spaces.
• Spherical Characters on p-Adic Symmetric Spaces

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