On Bessel distributions for \(GL_ 2\) over a \(p\)-adic field

DOI10.1006/jnth.1997.2173zbMath0887.22023OpenAlexW2021148924MaRDI QIDQ1377594

Ehud Moshe Baruch

Publication date: 12 May 1998

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1997.2173

zbMATH Keywords

charactersreductive groupBessel distributionsirreducible admissible representationtrace distribution

Mathematics Subject Classification ID

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

Related Items (10)

A weak kernel formula for Bessel functions ⋮ Supercuspidal Gelfand pairs ⋮ Bessel functions and Kloosterman integrals on \(\mathrm{GL}(n)\) ⋮ Functional equations and gamma factors of local zeta functions for the metaplectic cover of \(\mathrm{SL}_2\) ⋮ On Bessel distributions for quasi-split groups ⋮ Bessel identities in the Waldspurger correspondence over the real numbers ⋮ A Whittaker-Plancherel inversion formula for \(\mathrm{SL}(2,\mathbb R)\). ⋮ A Whittaker-Plancherel inversion formula for \(\mathrm{SL}_2(\mathbb{C} )\) ⋮ Germs of Kloosterman Integrals for $GL(3)$ ⋮ Periods and global invariants of automorphic representations

Cites Work

• Unnamed Item
• The L and \(\gamma\) factors for generic representations of GSp(4,k)\(\times GL(2,k)\) over a local nonarchimedean field k
• Automorphic forms on GL (2)
• Distinguished representations and quadratic base change for 𝐺𝐿(3)

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