Geodesic
The Fourier--Jacobi functions of $n$
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 9, Tome 168 (1988), pp. 32-44

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Jacobi forms on the space $H_1\times\mathbb{C}^n$ and Hecke operators, acting on such forms, are defined and investigated. 
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     author = {V. A. Gritsenko},
     title = {The {Fourier--Jacobi} functions of $n$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {32--44},
     publisher = {mathdoc},
     volume = {168},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1988_168_a3/}
}
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V. A. Gritsenko. The Fourier--Jacobi functions of $n$. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 9, Tome 168 (1988), pp. 32-44. http://geodesic.mathdoc.fr/item/ZNSL_1988_168_a3/