A Unified View of Space–Time Covariance Functions Through Gelfand Pairs
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-020-09793-z
Abstract: We give a characterization of positive definite integrable functions on a product of two Gelfand pairs as an integral of positive definite functions on one of the Gelfand pairs with respect to the Plancherel measure… read more here.
Keywords: characterization; gelfand; view space; unified view ... See more keywords
Orthogonal expansions related to compact Gelfand pairs
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DOI: 10.1016/j.exmath.2017.10.005
Abstract: Abstract For a locally compact group G , let P ( G ) denote the set of continuous positive definite functions f : G → C . Given a compact Gelfand pair ( G ,… read more here.
Keywords: positive definite; gelfand pairs; compact gelfand; group ... See more keywords
Combinatorial flip actions and Gelfand pairs for affine Weyl groups
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DOI: 10.1016/j.jalgebra.2021.10.034
Abstract: Several combinatorial actions of the affine Weyl group of type $\widetilde{C}_{n}$ on triangulations, trees, words and permutations are compared. Addressing a question of David Vogan, we show that, modulo a natural involution, these permutation representations… read more here.
Keywords: actions gelfand; affine weyl; combinatorial flip; gelfand pairs ... See more keywords