On uniform approximation of rational perturbations of Cauchy integrals

DOI10.1007/BF03321752zbMath1200.42016arXiv0906.0793MaRDI QIDQ977079

Maxim L. Yattselev

Publication date: 17 June 2010

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

Full work available at URL: https://arxiv.org/abs/0906.0793

zbMATH Keywords

meromorphic approximationstrong asymptoticsnon-Hermitian orthogonalitymulti-point Padé approximants

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by rational functions (41A20) Padé approximation (41A21) Approximation by other special function classes (41A30)

Cites Work

• On \(L_{p}\)-generalization of a theorem of Adamyan, Arov, and Kreĭn
• 2D inverse problems for the Laplacian: a meromorphic approximation approach
• The CF table
• Multipoint Padé approximants to complex Cauchy transforms with polar singularities
• Problems of Addamjan-Arov-Krein type on subsets of the circle and minimal norm extensions
• An \(L^{p}\) analog to AAK theory for \(p\geq 2\)
• Convergent interpolation to Cauchy integrals over analytic arcs
• Convergent Interpolation to Cauchy Integrals over Analytic Arcs with Jacobi-Type Weights
• On the convergence of Padé approximations for generalized Nevanlinna functions
• ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEM
• Meromorphic approximants to complex Cauchy transforms with polar singularities
• Asymptotic error for \(L^2\) best rational approximants to Markov functions
• Best meromorphic approximation of Markov functions on the unit circle.
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