Contains the proceedings of a June 1996 research conference/workshop held at Campinas, Sao Paulo, Brazil. The 21 contributions outline an array of recent work on continued fractions, linear functionals, moment theory, and integral transforms. Topics explored include: the asymptotic behavior of continued fraction coefficients for the Binet and gamma functions; new results on orthogonal Laurent polynomials; special functions in the complex domain using continued fractions; use of the Freud conjecture to analyze the coefficients of Stieltjes continued fractions; and the use of Szego polynomials and their application to frequency analysis.