Geodesic
On Gustafson integrals for the group $\mathrm{SL}(2,\mathbb{R})$
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 28, Tome 509 (2021), pp. 113-122

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In this paper, we calculate the Gustafson integrals of the first and second types for the group $\mathrm{SL}(2,\mathbb{R})$ in the case of an integration domain of a special form. The definitions of the analogs of the sine, cosine and Gamma functions are given, and their main properties are formulated. The conclusion lists open questions. 
@article{ZNSL_2021_509_a7,
     author = {A. V. Ivanov},
     title = {On {Gustafson} integrals for the group $\mathrm{SL}(2,\mathbb{R})$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {113--122},
     publisher = {mathdoc},
     volume = {509},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_509_a7/}
}
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A. V. Ivanov. On Gustafson integrals for the group $\mathrm{SL}(2,\mathbb{R})$. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 28, Tome 509 (2021), pp. 113-122. http://geodesic.mathdoc.fr/item/ZNSL_2021_509_a7/