19 citations · 36 across the 9 of their papers we have counts for
9 papers
Theta lifting for tempered representations of real unitary groups
Atsushi Ichino
We study the theta lifting for real unitary groups and completely determine the theta lifts of tempered representations. In particular, we show that the theta lifts of (limits of)…
Theta lifting for discrete series representations of real unitary groups
Atsushi Ichino
We study the theta lifting for real unitary groups and completely determine the theta lifts of discrete series representations. In particular, we show that these theta lifts can be…
The automorphic discrete spectrum of
Wee Teck Gan, Atsushi Ichino
We prove the multiplicity formula for the automorphic discrete spectrum of the metaplectic group of rank .
On Petersson norms of generic cusp forms and special values of adjoint -functions for
Shih-Yu Chen, Atsushi Ichino
We prove an explicit formula for the Petersson norms of some normalized generic cuspidal newforms on whose archimedean components belong to either discrete series rep…
Hodge classes and the Jacquet-Langlands correspondence
Atsushi Ichino, Kartik Prasanna
We prove that the Jacquet-Langlands correspondence for cohomological automorphic forms on quaternionic Shimura varieties is realized by a Hodge class. Conditional on Kottwitz's con…
The Shimura-Waldspurger correspondence for
Wee Teck Gan, Atsushi Ichino
We generalize the Shimura-Waldspurger correspondence, which describes the generic part of the automorphic discrete spectrum of the metaplectic group , to the metaple…
Periods of quaternionic Shimura varieties. I
Atsushi Ichino, Kartik Prasanna
We study "quadratic periods" on quaternionic Shimura varieties and formulate an integral refinement of Shimura's conjecture regarding Petersson inner products of automorphic forms…
The Gross-Prasad conjecture and local theta correspondence
Wee Teck Gan, Atsushi Ichino
We establish the Fourier-Jacobi case of the local Gross-Prasad conjecture for unitary groups, by using local theta correspondence to relate the Fourier-Jacobi case with the Bessel…
On the formal degrees of square-integrable representations of odd special orthogonal and metaplectic groups
Atsushi Ichino, Erez Lapid, Zhengyu Mao
The formal degree conjecture relates the formal degree of an irreducible square-integrable representation of a reductive group over a local field to the special value of the adjoin…