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arXiv · 2006.04668

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

Shuji Horinaga
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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.

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Shuji Horinaga. 2020-06-08. Nearly holomorphic automorphic forms on Sp(2n) with sufficiently regular infinitesimal characters and applications. https://doi.org/10.2140/pjm.2022.316.81

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