On holomorphic theta functions associated to rank \(r\) isotropic discrete subgroups of a \(g\)-dimensional complex space

We are interested in the \(L^2\)-holomorphic automorphic functions on a \(g\)-dimensional complex space \(V^g_{\mathbb{C}}\) endowed with a positive definite hermitian form and associated to isotropic discrete subgroups \(\Gamma\) of rank \(2\leq r \leq g\). We show that they form an infinite reprod...

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Veröffentlicht in:	arXiv.org 2015-06
Hauptverfasser:	Ghanmi, Allal, Intissar, Ahmed, Mohammed Souid El Ainin
Format:	Artikel
Sprache:	eng
Schlagworte:	Fourier series Hilbert space Kernel functions Mathematical analysis Subgroups Tensors
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