Differentiability of functions of matrices

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Given 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).
12 pages

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Functional Analysis, Representation Theory, 15A18; 15A42; 47A55

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http://salesiana.dossiersoluciones.com/handle/123456789/68761

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310086
 http://arxiv.org/abs/math/0310086

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arXiv