The principal axis theorem for holomorphic functions

DOI10.1090/S0002-9939-99-05451-9zbMath0948.15022MaRDI QIDQ4699517

Markus Klein, Joachim Graeter

Publication date: 17 November 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

diagonalizationvaluationnormal matrixreal closed fieldHensel's Lemmaanalytic perturbation theoryRellich's theoremgerms of analytic functionsanalytic family of matricesPrincipal Axis Theorem

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Hermitian, skew-Hermitian, and related matrices (15B57) Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21) Valued fields (12J10)

Related Items (2)

On the Rellich eigendecomposition of para-Hermitian matrices and the sign characteristics of \(\ast \)-palindromic matrix polynomials ⋮ Asymptotic eigenfunctions for Schrödinger operators on a vector bundle

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