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Variation-Diminishing Transformations and General Orthogonal Polynomials

Published online by Cambridge University Press:  20 November 2018

I. I. Hirschman JR.
I. I. Hirschman JR.*
Affiliation:
Washington University St. Louis, Missouri
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Let α(dx) be a finite measure defined on the Borel subsets of [—1, 1], the spectrum of which is infinite. Let be the family of orthonormal polynomials associated with a, so that

The are uniquely determined by this and by the condition

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 16 , 1964 , pp. 98 - 107
Copyright
Copyright © Canadian Mathematical Society 1964

References

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