Multicentric holomorphic calculus

DOI10.1007/BF03321812zbMath1337.47021MaRDI QIDQ428937

Olavi Nevanlinna

Publication date: 25 June 2012

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

spectrumholomorphic functional calculusJacobi seriespolynomial numerical hull

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Functional calculus in topological algebras (46H30) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Series expansions of functions of one complex variable (30B99)

Related Items (4)

Rational functions as new variables ⋮ Multicentric holomorphic calculus for \(n\)-tuples of commuting operators ⋮ Lemniscates and \(K\)-spectral sets ⋮ Sylvester equations and polynomial separation of spectra

Cites Work

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• On the Jacobi series
• Über die Verallgemeinerung der Picard-Landauschen und Picard- Schottkyschen Sätze auf Reihen, die nach Potenzen eines Polynoms fortschreiten und Polynome niedrigeren Grades zu Koeffizienten haben
• Meromorphic functions and linear algebra
• Computing the Spectrum and Representing the Resolvent
• Barycentric Lagrange Interpolation
• Hessenberg matrices in krylov subspaces and the computation of the spectrum
• On the Jacobi Series

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