Root systems and Jacobi forms

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We assume that FCFg(n) for some n~>3 to exclude elliptic fixpoints. If one considers Siegel modular forms of genus g + l and its Fourier-Jacobi expansion, one gets the

have formulated in [13] the Hardy’s theorem in terms of the heat kernel of the Jacobi–Dunkl operator.. In the first part of this paper, applying the same method as in [14], we

Abstract: Using a generalized translation operator, we obtain a generalization of Titchmarsh’s theorem of the Jacobi transform for functions satisfying the ψ- Jacobi

In this paper we therefore have two aims: (1) Develop a theory of p-adic families of ordinary Jacobi forms, following the approach of Hida [Hid95]; (2) Construct, following [Ste94],

and independently Cohen–Wales [6] extended Krammer’s [20] constructions and proofs to the Artin groups associated with simply laced Coxeter graphs of spherical type, and,

the (weighted) number of SL2(Z) equivalence classes of all positive definite, integral, binary quadratic forms of.

Krammer [20], Digne [12] and independently Cohen–Wales [6] extended Krammer’s [20] constructions and proofs to the Artin groups associated with simply laced Coxeter graphs of