A weak kernel formula for Bessel functions

DOI10.1090/tran/6884zbMath1388.22011arXiv1512.02365OpenAlexW2963791870MaRDI QIDQ5348735

Jingsong Chai

Publication date: 21 August 2017

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

Full work available at URL: https://arxiv.org/abs/1512.02365

zbMATH Keywords

Bessel functionsBessel distributionsweak kernel formula

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 (1)

Bessel functions and Kloosterman integrals on \(\mathrm{GL}(n)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On representations distinguished by unitary groups
• The L and \(\gamma\) factors for generic representations of GSp(4,k)\(\times GL(2,k)\) over a local nonarchimedean field k
• The multiplicity one theorem for \(\mathrm{GL}_n\)
• Characterization of the local Langlands conjecture by \(\varepsilon\)-factors for pairs
• On Bessel distributions for \(GL_ 2\) over a \(p\)-adic field
• The local converse theorem for \(\operatorname {SO}(2n+1)\) and applications
• Bessel identities in the Waldspurger correspondence over the real numbers
• Bessel distributions for GL(3) over the \(p\)-adics
• Bessel functions for \(\text{GL}(3)\) over a \(p\)-adic field.
• Functoriality for the classical groups
• Towards the Jacquet conjecture on the local converse problem for \(p\)-adic \(\mathrm {GL}_n\)
• Central value of automorphic \(L\)-functions
• Bessel functions and local converse conjecture of Jacquet
• The \(n\times (n-2)\) local converse theorem for \(\text{GL}(n)\) over a \(p\)-adic field
• On Bessel distributions for quasi-split groups
• On the Jacquet Conjecture on the local converse problem for 𝑝-adic 𝐺𝐿_{𝑁}
• Converse theorems for GLn, II
• Bessel identities in the Waldspurger correspondence over a p- adic field
• A proof of the finite field analogue of Jacquet’s conjecture
• Stability of Certain Oscillatory Integrals
• STABILITY OF $\gamma$-FACTORS FOR QUASI-SPLIT GROUPS

This page was built for publication: A weak kernel formula for Bessel functions