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- W3131054928 abstract "Abstract In this paper, we generalize a result of Cuttler, Greene, Skandera, and Sra that characterizes the majorization order on Young diagrams in terms of nonnegative specializations of Schur polynomials. More precisely, we introduce a generalized notion of majorization associated to an arbitrary crystallographic root system $Phi $ and show that it admits a natural characterization in terms of the values of spherical functions on any Riemannian symmetric space with restricted root system $Phi .$ We also conjecture a further generalization of this theorem in terms of Heckman–Opdam hypergeometric functions." @default.
- W3131054928 created "2021-03-01" @default.
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- W3131054928 date "2021-02-18" @default.
- W3131054928 modified "2023-10-17" @default.
- W3131054928 title "Majorization and Spherical Functions" @default.
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- W3131054928 doi "https://doi.org/10.1093/imrn/rnaa390" @default.
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