1 citations · 3 across the 6 of their papers we have counts for
6 papers
Multiplicity formula for induced representations: Bessel and Fourier-Jacobi models over Archimedean local fields
Cheng Chen
This article proves a formula relating the multiplicity of an induced representation and that of the inducing datum for the Bessel and the Fourier-Jacobi models over Archimedean lo…
Weak Compactness Criterion in with an Existence Theorem of Minimizers
Cheng Chen, Mattie Ji, Yan Tang +1
There is a rich theory of existence theorems for minimizers over reflexive Sobolev spaces (ex. Eberlein-Šmulian theorem). However, the existence theorems for many variational probl…
The local Gross-Prasad conjecture over : Epsilon dichotomy
Cheng Chen, Zhilin Luo
Following the work of Jean-Loup Waldspurger, we prove the epsilon dichotomy part of the local Gross-Prasad conjecture over for tempered local -parameters.
The Local Gross-Prasad Conjecture over Archimedean Local Fields
Cheng Chen
Following the approach of C. Moeglin and J.L.-Waldspurger, this article completes the proof for the generic cases of the local Gross-Prasad conjecture over Archimedean local fields…
Archimedean Non-vanishing, Cohomological Test Vectors, and Standard -functions of : Complex Case
Bingchen Lin, Fangyang Tian
The purpose of this paper is to study the local zeta integrals of Friedberg-Jacquet at complex place and to establish similar results to our recent work in the reall case joint wit…
Archimedean Non-vanishing, Cohomological Test Vectors, and Standard -functions of : Real Case
Cheng Chen, Dihua Jiang, Bingchen Lin +1
The standard -functions of expressed in terms of the Friedberg-Jacquet global zeta integrals have better structure for arithmetic applications, due to the rel…