Majorization and Spherical Functions

نویسندگان

چکیده

Abstract In this paper, we generalize a result of Cuttler, Greene, Skandera, and Sra that characterizes the majorization order on Young diagrams in terms nonnegative specializations Schur polynomials. More precisely, introduce generalized notion associated to an arbitrary crystallographic root system $\Phi $ show it admits natural characterization values spherical functions any Riemannian symmetric space with restricted .$ We also conjecture further generalization theorem Heckman–Opdam hypergeometric functions.

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ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2021

ISSN: ['1687-0247', '1073-7928']

DOI: https://doi.org/10.1093/imrn/rnaa390