On the Kohnen plus space for Hilbert modular forms of half-integral weight I
On the Kohnen plus space for Hilbert modular forms of half-integral weight I
Abstract In this paper, we construct a generalization of the Kohnen plus space for Hilbert modular forms of half-integral weight. The Kohnen plus space can be characterized by the eigenspace of a certain Hecke operator. It can be also characterized by the behavior of the Fourier coefficients. For example, in …