Asymptotic approximations for second-order linear difference equations in Banach algebras. II

DOI10.1016/j.jmaa.2007.08.012zbMath1153.39306OpenAlexW1995048988MaRDI QIDQ2467780

Tania Soldà, Renato Spigler, Marco Vianello

Publication date: 28 January 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.08.012

zbMATH Keywords

Banach algebras\(C^{*}\)-algebrasmatrix difference equationsLiouville-Green (WKB) asymptotics

Mathematics Subject Classification ID

Related Items (1)

Canonical forms and discrete Liouville-Green asymptotics for second-order linear difference equations

Cites Work

• Otto Blumenthal (1876--1944) in retrospect
• Liouville-Green asymptotic approximation for a class of matrix differential equations and semi-discretized partial differential equations
• Ratio asymptotics for orthogonal matrix polynomials
• Liouville-Green-Olver approximations for complex difference equations
• Asymptotic representation for the Blumenthal-Nevai orthogonal polynomials in the essential spectrum
• A survey on orthogonal matrix polynomials satisfying second order differential equations
• Zero asymptotic behaviour for orthogonal matrix polynomials
• Liouville-Green approximations for a class of linear oscillatory difference equations of the second order
• Orthogonal matrix polynomials: zeros and Blumenthal's theorem
• Orthogonal matrix polynomials and applications
• Asymptotic approximations for second-order linear difference equations in Banach algebras. I
• Discrete and Continuous Liouville–Green–Olver Approximations: a Unified Treatment via Volterra–Stieltjes Integral Equations
• WKB-type approximations for second-order differential equations in $C*$-algebras
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