Abstract
These topics are found in many parts of 20th century mathematics and its applications in mathematical physics, chemistry, statistics and engineering. Historically, the analytic theory of continued fractions has played a central role in both the origin and the development of the other topics. Continued fractions are intimately related to Pad e approximants and special functions. Emphasis is given to the development of strong moment theory and orthogonal Laurent polynomials and to the related continued fractions, quadrature formulas, integral transforms and linear functionals. By a strong moment problem we mean the following: For a given bisequence { n}n=−∞ of real numbers, does there exist a distribution function such that
Published Version
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