Juan Alfredo Tirao Dumont, Argentine mathematician (Cordoba 03 February 1942 – Introduced the notion of a presequence of matrix orthogonal polynomials to mean a sequence {F_n} of matrix orthogonal functions (2015) With B. Cox & V. Futorny showed that the family of Jacobi polynomials are orthogonal (2013) With P.M. Román obtained an inversion formula for the spherical transform by using the Fourier inversion formula in a locally compact group (2012) Determinated the image of the Lepowsky homomorphism for the classic groups of rank one and the image of Ktype invariants ring in universal enveloping algebra of all Lie semisimple groups of rank one (2008) With F.A. Grunbaum & I. Pacharoni obtained explicit formulae in terms of definite integrals of all matrix entries of any power of matrix With F.A. Grunbaum & I. Pacharoni presented new families of Jacobi type matrix valued orthogonal polynomials (20035) With F.A. Grunbaum & I. Pacharoni defined the notion of a classical pair consisting of a matrix valued weight function and a second order symmetric differential operator (2003) With N. Andruskiewitsch introduced the notion of spherical representation of rank one of a complex reductive algebraic group Formulated and proved necessary and sufficient conditions for the existence of a complex structure on a homogeneous vector bundle Obtained a characterization of the image of the classifying ring of Lie groups of rank one A restriction theorem for modules having a spherical submodule. Trans. Amer. Mathem. Soc. 331(2), 1992 A restriction theorem for semisimple Lie groups of rank one. Trans. Amer. Mathem. Soc. (1983) (Tirao restriction theorem)

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