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This volume includes a collection of research articles inFunctional Analysis, celebrating the occasion of Manuel Valdivia'ssixtieth birthday. The papers included in the volume are basedon the main lectures presented during the internationalfunctional analysis meeting held in Peñíscola(Valencia, Spain) in October 1990. During his career, Valdiviahas made contributions to a wide variety of areas of FunctionalAnalysis and his work has had a profound impact. A thoroughappreciation of Valdivia's work is presented in J.Horváth's article. In honor of Valdivia's a

Functional analysis --- Approximation theory. --- Theory of approximation --- Functions --- Polynomials --- Chebyshev systems --- Analyse fonctionnnelle

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Approximation of nonlinear evolution systems

Approximation theory. --- Evolution equations, Nonlinear --- Numerical solutions. --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems --- Numerical analysis

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The theory of splines and their applications

Approximation theory. --- Spline theory. --- Splines. --- Theory of approximation --- Spline functions --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems --- Approximation theory --- Interpolation

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The international conference entitled "New Trends in Approximation Theory" was held at the Fields Institute, in Toronto, from July 25 until July 29, 2016. The conference was fondly dedicated to the memory of our unique friend and colleague, André Boivin, who gave tireless service in Canada until his very last moment of his life in October 2014. The impact of his warm personality and his fine work on Complex Approximation Theory was reflected by the mathematical excellence and the wide research range of the 37 participants. In total there were 27 talks, delivered by well-established mathematicians and young researchers. In particular, 19 invited lectures were delivered by leading experts of the field, from 8 different countries. The wide variety of presentations composed a mosaic of aspects of approximation theory, highlighting interesting connections with important contemporary areas of Analysis. Primary topics discussed include application of approximation theory (isoperimetric inequalities, construction of entire order-isomorphisms, dynamical sampling); approximation by harmonic and holomorphic functions (especially uniform and tangential approximation), polynomial and rational approximation; zeros of approximants and zero-free approximation; tools used in approximation theory; approximation on complex manifolds, in product domains, and in function spaces; and boundary behaviour and universality properties of Taylor and Dirichlet series.

Approximation theory. --- Mathematics. --- Approximations and Expansions. --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems --- Math --- Science

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Special Functions and Their Approximations: v. 2

Functions, Special. --- Approximation theory. --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems --- Special functions --- Mathematical analysis