In this paper, we calculate the Gustafson integrals of the first and second types for the group SL(2, 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.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 509, 2021, pp. 113–122.
Translated by the author.
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Ivanov, A.V. On Gustafson Integrals for the Group SL(2, ℝ). J Math Sci 275, 299–305 (2023). https://doi.org/10.1007/s10958-023-06682-w
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DOI: https://doi.org/10.1007/s10958-023-06682-w