Hasil untuk "math.SP"

Zhengyu Mao, Stephen Rallis

Abstract We compute the spherical functions on the symmetric space Sp 2 n / Sp n × Sp n and derive a Plancherel formula for functions on the symmetric space. As an application of the Plancherel formula, we prove an identity which amounts to the fundamental lemma of a relative trace identity between Sp 2 n and $\widetilde {{\rm Sp}}_n$ .

Edgar Assing

In this note, we prove Sarnak’s (spherical) density hypothesis for the full discrete spectrum of the quotients \Gamma_{\mathrm{pa}}(q) \backslash \operatorname{Sp}_{4}(\mathbb{R}) , where \Gamma_{\mathrm{pa}}(q) are paramodular groups with square-free level q . To derive this estimate we upgrade a density estimate established via the Kuznetsov formula, which only accounts for the generic part, using Arthur’s parametrization of the discrete spectrum.

Patrice Assouad

Stephen D. Theriault

Imrich Ličko, Marko Švec

Hidekiyo Wakakuwa

M. W. Baldoni Silva

J. C. Ferrando

Noriaki Nakagawa

Kazumoto Kozima

Mitsunori Imaoka

Toshimasa Kobayashi

Kazumoto Kozima

Joseph Jude Peiris

H. W. Schneider

Minato Yasuo

Stephen L. Campbell, Ralph Gellar

Anthony Bahri, Peter Gilkey

Kazumoto Kozima

Kinetsu Abe