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math.RT2018
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…
math.RT2018
A Whittaker-Plancherel Inversion Formula for
Zhi Qi, Chang Yang
In this paper, we establish a Whittaker-Plancherel inversion formula for from the analytic perspective of the Bessel transform of Bruggeman and Motohash…
math.RT2018
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…