On Faber polynomials and Faber expansions

DOI10.1007/BF01112450zbMath0197.05505WikidataQ106110208 ScholiaQ106110208MaRDI QIDQ2539686

Publication date: 1967

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/170775

zbMATH Keywords

complex functions

Related Items (55)

A hybrid Arnoldi-Faber iterative method for nonsymmetric systems of linear equations ⋮ Chebyshev polynomials on a system of continua ⋮ Faber polynomials and spectrum localisation ⋮ Application of Faber polynomials to the approximate solution of a generalized boundary value problem of linear conjugation in the theory of analytic functions ⋮ The degree of polynomial approximation and interpolation of analytic functions ⋮ Explicit Faber polynomials on circular sectors ⋮ On the best linear approximation of holomorphic functions ⋮ Lagrange interpolation polynomials in \(E^ p (D)\) with \(1<p< +\infty\) ⋮ Chebyshev-type quadrature and zeros of Faber polynomials ⋮ Unnamed Item ⋮ On semiiterative methods generated by Faber polynomials ⋮ On the distribution of Fekete points II ⋮ Singular points of analytic functions expanded in series of Faber polynomials ⋮ On dynamics of asymptotically minimal polynomials ⋮ Order of uniform approximation by polynomial interpolation in the complex plane and beyond ⋮ The jump problem for the critical Besov space ⋮ The CF table ⋮ On the distribution of zeros of Faber polynomials ⋮ Low-Rank Updates of Matrix Functions ⋮ Inclusions inside a bounded elastic body undergoing anti-plane shear ⋮ A note on Faber operator ⋮ Application of Faber polynomials to the approximate solution of the Riemann problem ⋮ Asymptotics for polynomial zeros: Beware of predictions from plots ⋮ Some remarks on Bernstein's theorems ⋮ Faber-hypercyclic operators ⋮ Expansion of analytic functions of an operator in series of Faber polynomials ⋮ The generalized faber operator and the convergence of generalized faber expansions ⋮ A generalization of the Kreiss matrix theorem ⋮ Explicit Faber Polynomials on Circular Sectors ⋮ On zeros of polynomials orthogonal over a convex domain ⋮ Approximation by Faber polynomials for a class of Jordan domains ⋮ THE COMPUTATION OF FUNCTIONS OF MATRICES BY TRUNCATED FABER SERIES ⋮ An interpolatory approximation of the matrix exponential based on Faber polynomials ⋮ Numerical range, GMRES and Faber polynomials. ⋮ Wave packet propagation by the Faber polynomial approximation in electrodynamics of passive media ⋮ On the degree of weighted polynomial approximation of holomorphic functions ⋮ On the degree of polynomial approximation in \(E^p(D)\) ⋮ A functional calculus based on the numerical range: applications ⋮ Zero distribution of random polynomials ⋮ The Faber Polynomials for Annular Sectors ⋮ Series in Faber polynomials and several generalizations ⋮ Functions of rational Krylov space matrices and their decay properties ⋮ Estimating the norm of the holomorphic component of a meromorphic function in a finitely connected domain ⋮ Uniform approximation of functions in Jordan domains ⋮ Best approximation and saturation on domains bounded by curves of bounded rotation ⋮ Preconditioning the Helmholtz equation with the shifted Laplacian and Faber polynomials ⋮ A Note on the Zeros of Faber Polynomials ⋮ Extensions of Walsh's equiconvergence theorem for Jordan domains with analytic boundary curve ⋮ On the order of polynomial approximation for closed Jordan domains ⋮ Erdős-Turán type theorems on quasiconformal curves and arcs ⋮ A V. A. Markov type inequality in \(L^ p\). ⋮ Accelerated polynomial approximation of finite order entire functions by growth reduction ⋮ Bounding Zolotarev numbers using Faber rational functions ⋮ A polynomial method based on Fejér points for the computation of functions of unsymmetric matrices ⋮ Isomorphisms of the disc algebra and inverse Faber sets

Cites Work

This page was built for publication: On Faber polynomials and Faber expansions