The field of functional analysis of symmetric analytic functions explores the interplay between the structure of analytic function algebras and the inherent symmetries dictated by invariance under ...

The characterization of analytic functions defined on a compact set K in R N by their polynomial approximation is possible if and only if K satisfies some "Bernstein type inequality", estimating any ...

SIAM Journal on Numerical Analysis, Vol. 51, No. 3 (2013), pp. 1443-1469 (27 pages) This paper provides a rigorous and delicate analysis for exponential decay of Jacobi polynomial expansions of ...

Random analytic functions are a fundamental object of study in modern complex analysis and probability theory. These functions, often defined through power series with random coefficients, exhibit ...