Nearly holomorphic automorphic forms on Sp(2n) with sufficiently regular infinitesimal characters and applications

Abstract

In this paper, we decompose the space of nearly holomorphic Hilbert-Siegel automorphic forms as representations of the adele group under certain assumptions. We also give an application for classical holomorphic Hilbert-Siegel modular forms. In particular, we show the surjectivity of the global Siegel operator for certain congruence subgroups with large weights.

References in corpus (2)

• Lowest weight modules of Sp_4(R) and nearly holomorphic Siegel modular forms
• Representations of SL_2(R) and nearly holomorphic modular forms