Differentiability of functions of matrices

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dc.creatorGrabovsky, Yury
dc.creatorHijab, Omar
dc.creatorRivin, Igor
dc.date2003-10-07
dc.date.accessioned2026-07-07T05:01:40Z
dc.date.available2026-07-07T05:01:40Z
dc.descriptionGiven a function on diagonal matrices, there is a unique way to extend this to an invariant (by conjugation) function on symmetric matrices. We show that the extension preserves regularity -- that is, if the original function is k times differentiable so is the extension (likewise for analyticity and the class k+alpha).
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0310086
dc.identifierhttp://arxiv.org/abs/math/0310086
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68761
dc.subjectFunctional Analysis
dc.subjectRepresentation Theory
dc.subject15A18; 15A42; 47A55
dc.titleDifferentiability of functions of matrices
dc.typetext

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