Orthogonal Polynomials of Several Variables: Preface to the Second Edition

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A Generalized ANOVA Dimensional Decomposition for Dependent Probability Measures (2014, unknown): “The standard Hilbert space theory states that every nonconstant component function yu,G ∈ L2(Ωu,Fu, Pu) of y can be expanded as [5]”
Some new examples of Markov processes which enjoy the time-inversion property (2005, background): “[ 10 ], Theorem 4.2.6) and strictly positive in the Weyl chamber C (if suitably chosen).”
Explicit formulas for the Dunkl dihedral kernel and the $(\kappa, a)$-generalized Fourier kernel (2016, background): “ as well as for the (κ,a)- generalized Fourier transform when κ = 0. The restriction to dihedral groups is necessary, because only then the Poisson kernel for the Dunkl Laplace operator is known, see [15] or subsequent Theorem 11. Let us describe our main results. The Laplace transform of the (0,a)-”