Necessary and sufficient conditions for the convergence of vector S-fractions are obtained, generalizing classical results of Stieltjes. A class of unbounded difference operators of high order possessing a set of spectral measures is described. © 2002 Elsevier Science (USA).
CITATION STYLE
Smirnova, M. C. (2002). Convergence conditions for vector stieltjes continued fractions. Journal of Approximation Theory, 115(1), 100–119. https://doi.org/10.1006/jath.2001.3653
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