Progress in Approximation Theory

Difference Hypergeometric Functions.- Padé Approximants for Some q-Hypergeometric Functions.- Summation Theorems for Basic Hypergeometric Series of Schur Function Argument.- Orthogonal Polynomials, Recurrences, Jacobi Matrices, and Measures.- Szeg? Type Asymptotics for Minimal Blaschke Products.- Asymptotics of Hermite-Padé Polynomials.- On the Rate of Convergence of Padé Approximants of Orthogonal Expansions.- Spurious Poles in Diagonal Rational Approximation.- Expansions for Integrals Relative to Invariant Measures Determined by Contractive Affine Maps.- Approximation of Measures by Fractal Generation Techniques.- Nonlinear Wavelet Approximation in the Space C (Rd).- Completeness of Systems of Translates and Uniqueness Theorems for Asymptotically Holomorphic Functions.- Approximation by Entire Functions and Analytic Continuation.- Quasi-Orthogonal Hilbert Space Decompositions and Estimates of Univalent Functions. II.- On the Differential Properties of the Rearrangements of Functions.- A Class of I.M. Vinogradov’s Series and Its Applications in Harmonic Analysis.- A Lower Bound for the de Bruijn-Newman Constant ?. II.- On the Denseness of Weighted Incomplete Approximations.- Asymptotics of Weighted Polynomials.