It has been almost 20 years since two of us proposed a rather speculative approach to the
problem of restriction of irreducible representations from SOn to SOn− 1 [GP1, GP2]. Our …

ON THE PERIODS OF AUTOMORPHIC FORMS ON SPECIAL ORTHOGONAL GROUPS AND
THE GROSS–PRASAD CONJECTURE Atsushi Ichino and Tamutsu Ik Page 1 ON THE …

8. Non-vanishing of the descent I. 8.1. The Fourier coefficient corresponding to the partition
(m, m, m'-2m). 8.2. Conjugation of S [symbol] by the element [symbol]. 8.3. Exchanging the …

Let G be one of the classical Lie groups GL n+ 1 (ℝ), GL n+ 1 (ℂ), U (p, q+ 1), O (p, q+ 1), O
n+ 1 (ℂ), SO (p, q+ 1), SO n+ 1 (ℂ), and let G′ be respectively the subgroup GL n (ℝ), GL n …

Fourier transform and the global Gan–Gross–Prasad conjecture for unitary groups Page 1
Annals of Mathematics 180 (2014), 971–1049 http://dx.doi.org/10.4007/annals.2014.180.3.4 …

We find upper and lower bounds of the multiplicities of irreducible admissible
representations π of a semisimple Lie group G occurring in the induced representations Ind …

Abstract 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 …

This paper generalizes the Gan–Gross–Prasad (GGP) conjectures that were earlier
formulated for tempered or more generally generic L-packets to Arthur packets, especially …

Using the relative trace formula of Jacquet and Rallis, under some local conditions we prove
a refinement of the global Gan-Gross-Prasad conjecture proposed by Ichino-Ikeda and N …

In this paper, we prove, following earlier work of Waldspurger ([Wa1],[Wa4]), a sort of local
relative trace formula which is related to the local Gan-Gross-Prasad conjecture for unitary …