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- W4286903229 abstract "Fractional powers and polynomial maps preserving structured totally positive matrices, one-sided Pólya frequency functions, or totally positive kernels are treated from a unifying perspective. Besides the stark rigidity of the polynomial transforms, we unveil an ubiquitous separation between discrete and continuous spectra of such inner fractional powers. Classical works of Schoenberg, Karlin, Hirschman, and Widder are completed by our classification. Concepts of probability theory, multivariate statistics, and group representation theory naturally enter into the picture." @default.
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- W4286903229 date "2022-07-26" @default.
- W4286903229 modified "2023-10-05" @default.
- W4286903229 title "Preservers of totally positive kernels and Pólya frequency functions" @default.
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- W4286903229 doi "https://doi.org/10.5802/mrr.12" @default.
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