Odake, Satoru; Sasaki, Ryu Dual Christoffel transformations. (English) Zbl 1230.81031 Prog. Theor. Phys. 126, No. 1, 1-34 (2011). Summary: Crum’s theorem and its modification à la Krein-Adler are formulated for the discrete quantum mechanics with real shifts, whose eigenfunctions consist of orthogonal polynomials of a discrete variable. The modification produces the associated polynomials with a finite number of degrees deleted. This in turn provides the well known Christoffel transformation for the dual orthogonal polynomials with the corresponding positions deleted. Cited in 16 Documents MSC: 81Q35 Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices PDFBibTeX XMLCite \textit{S. Odake} and \textit{R. Sasaki}, Prog. Theor. Phys. 126, No. 1, 1--34 (2011; Zbl 1230.81031) Full Text: DOI arXiv