SPHERICAL FUNCTIONS ON

By P. Algebras, E. Choi. 2006

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The Analytic Theory of Matrix Orthogonal Polynomials (2007, methodology): “The corresponding real line theory (MOPRL) is still more recent: Following early work of Krein [133] and Berezan’ski [9] on block Jacobi matrices, mainly as applied to self-adjoint extensions, there was a seminal paper of Aptekarev–Nikishin [4] and a flurry of papers since the 1990s [10, 11, 12, 14,”
Matrix Valued Orthogonal Polynomials related to (SU(2) x SU(2),diag) (2010, background): “2 is not the definition of a spherical function given by Godement [13], Gangolli and Varadarajan [12] or Tirao [31] but it follows from property (3) that it is equivalent in this situation.”
A survey on orthogonal matrix polynomials satisfying second order differential equations (2005, background): “The results in [32] grew out of a study of matrix valued spherical functionsinitiated in[41].”