Matches in SemOpenAlex for { <https://semopenalex.org/work/W2783001882> ?p ?o ?g. }
- W2783001882 abstract "We show that, for positive definite kernels, if specific forms of regularity (continuity, Sn-differentiability or holomorphy) hold locally on the diagonal, then they must hold globally on the whole domain of positive-definiteness. This local-to-global propagation of regularity is constructively shown to be a consequence of the algebraic structure induced by the non-negativity of the associated bilinear forms up to order 5. Consequences of these results for topological groups and for positive definite and exponentially convex functions are explored." @default.
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- W2783001882 date "2018-01-08" @default.
- W2783001882 modified "2023-10-17" @default.
- W2783001882 title "Propagation of Regularity and Positive Definiteness: a Constructive Approach" @default.
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- W2783001882 doi "https://doi.org/10.4171/zaa/1599" @default.
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