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Solution of a Moment Problem for Bounded Functions

Published online by Cambridge University Press:  24 October 2008

S. Verblunsky
S. Verblunsky
Affiliation:
Magdalene College
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Extract

1. Given a sequence of variables a1, a2, …, we define a sequence of polynomials B1, B2, … by

For every positive integer n, Bn is a polynomial in a1, …, an, with rational coefficients. We write Bn ≡ Bn (a1, …, an) to indicate the variables on which Bn depends. From the polynomials Bn, we form a new sequence of polynomials Dn in accordance with the following definitions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 32 , Issue 1 , January 1936 , pp. 30 - 39
Copyright
Copyright © Cambridge Philosophical Society 1936

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