6 citations · 18 across the 11 of their papers we have counts for
11 papers
Bessel Distributions and Kloosterman Sums
Li Cai, Jingsong Chai, Yadi Liu
Let be a split reductive group over a -adic field. We give germ expansions of Kloosterman integrals for . As an application, we prove that Bessel distributions are regula…
A note on small theta lift
Jingsong Chai
In this note, we use certain sesquilinear form to realize small theta lift for even orthogonal-symplectic and unitary dual pairs over p-adic fields.
On parabolic induction and Jacquet modules over p-adic group
Jingsong Chai
In this note, using tensor products with appropriate bimodules over Hecke algebras, we uniformly describe parabolic induction and Jacquet module. We also recover a result of Loke a…
Asai gamma factors over finite fields
Jingsong Chai
In this note, we define and study Asai gamma factors over finite fields. We also prove some results about local Asai L-functions over p-adic fields for level zero representations.
On the Waldspurger Formula and the Metaplectic Ramanujan Conjecture over Number Fields
Jingsong Chai, Zhi Qi
In this paper, by inputting the Bessel identities over the complex field in previous work of the authors, the Waldspurger formula of Baruch and Mao is extended from totally real fi…
Bessel Identities in the Waldspurger Correspondence over the Complex Numbers
Jingsong Chai, Zhi Qi
We prove certain identities between relative Bessel functions attached to irreducible unitary representations of and Bessel functions attached to irred…
Local integrability of Bessel functions on split groups
Jingsong Chai
In this paper, we prove that the Bessel functions are locally integrable for all connected split reductive linear algebraic groups over a p-adic field and the Bessel distributi…
Bessel functions and local converse conjecture of Jacquet
Jingsong Chai
In this paper, we prove the local converse conjecture of Jacquet over p-adic fields for GL(n) using Bessel functions.
A weak kernel formula for Bessel functions
Jingsong Chai
In this paper, we prove a weak kernel formula of Bessel functions attached to irreducible generic representations of p-adic . As an application, we show that the Bessel func…
A strong multiplicity one theorem for SL(2)
Jingsong Chai, Qing Zhang
It is known that multiplicity one property holds for SL(2), while the strong multiplicity one property fails. However, in this paper, we show that if we require further that a pair…
Bessel functions and local converse conjecture of Jacquet
Jingsong Chai
In this paper, we prove a kernel formula of Bessel functions attached to irreducible smooth supercuspidal representations of p-adic . We also show that the Bessel function d…