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MR1267934 (95c:33030) 33D80 (17B37 33D15 81R50)
Kalnins, E. G.; Miller, Willard, Jr. Models of $q$-algebra representations: $q$-integral transforms and "addition theorems''. J. Math. Phys. 35 (1994), no. 4, 1951–1975.
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