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the hypergeometric function and its generalizations
providing a unifying approach to large parts of this theory
automorphic representations of adelic groups
where {vi} form a basis in the representation space of ρ
Israel Gelfand realized that many classical special functions and orthogonal polynomials are expressible as the matrix coefficients of representation of Lie groups G
Legendre and Jacobi orthogonal polynomials and Bessel functions all arise as matrix coefficients of representations of Lie groups
integral representations
in southern Poland
842395°N 10
in particular
in southern Poland
certain recurrence relations
506045
integral representations
where v is a vector in V
automorphic representations of adelic groups
matrix coefficients express the action of the elements of the group in the specified representation via the entries of the corresponding matrices

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