Geodesic
Spectral analysis of generators of representations of the group $U(3)$
Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 3, pp. 475-479

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A basis of eigen-vectors of the generator producing the Wigner $d$-functions is constructed in the space of irreducible unitary representation of the $U(3)$-group. Eigenvectors of the generator are described in terms of a certain class of orthogonal polynomials in two discrete variables which are generalizations of the Kravchuk polynomials. Continuous analogues of these polynomials are studied. Decomposition of the $d$-functions into exponential functions is obtained. 
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     author = {A. V. Rozenblyum},
     title = {Spectral analysis of generators of representations of the group $U(3)$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {475--479},
     publisher = {mathdoc},
     volume = {73},
     number = {3},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_73_3_a12/}
}
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A. V. Rozenblyum. Spectral analysis of generators of representations of the group $U(3)$. Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 3, pp. 475-479. http://geodesic.mathdoc.fr/item/TMF_1987_73_3_a12/