Abstract
Recently a treatise [2] dealing with the three term recurrence relation for polynomials orthogonal on algebraic sets was born. Because the paper is pretty sizeable in volume and rich in essence a kind of assistance in the matter as well as some invitation to it has become a need.
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References
T.S. Chihara, An introduction to orthogonal polynomials, in Mathematics and its Applications, vol. 13, Gordon and Breach, New York, 1978.
D. Cichoń, J. Stochel and F.H. Szafraniec, Three term recurrence relation modulo an ideal and orthogonality of polynomials of several variables, J. Approx. Theory, to appear.
R. Koekoek and R.F. Swarttouw, The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue, Delft University of Technology, Report of the Faculty of Technical Mathematics and Informatics no. 94-05.
W. Schoutens, Stochastic processes and orthogonal polynomials, in Lecture Notes in Statistics, vol. 145, Springer-Verlag, New York — Berlin — Heidelberg, 2000.
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© 2005 Birkhäuser Verlag Basel/Switzerland
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Szafraniec, F.H. (2005). Favard’s Theorem Modulo an Ideal. In: Alpay, D., Vinnikov, V. (eds) Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations. Operator Theory: Advances and Applications, vol 157. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7303-2_11
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DOI: https://doi.org/10.1007/3-7643-7303-2_11
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-7212-5
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