This volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function theory. The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and de Branges spaces, new aspects of classical function theory, and infinite dimensional analysis.
Signal processing constitutes a strong presence in several of the papers.
A second volume in this series of conferences, this book will appeal to mathematicians interested in learning about new fields of development in function theory.
Editorial Introduction.- On Parseval Frames of Kernel Functions in
de Branges Spaces of Entire Vector Valued Functions.- Differential
Subordinations in Harmonic Mappings.- The Segal-Bargmann Transform in
Clifford Analysis.- On the Carathéodory-Fejér interpolation problem for
Stieltjes functions.- Harmonic Analysis of some arithmetical
functions.- Symmetric measures, continuous networks, and dynamics.- Multi
Variable Semicircular Processes From - Homomorphisms and
Operators.- Representation formulae for the determinant in a neighborhood of
the identity.- Parametrization of the Solution Set of a Matricial Truncated
Hamburger Moment Problem by a Schur Type Algorithm.- The Wiener algebra and
singular integrals.- Techniques to derive estimates for integral means and
other geometric quantities related to conformal mappings.- Complex Ternary
Analysis and Applications.
