(Ebook) Extended Abstracts Fall 2019: Spaces of Analytic Functions: Approximation, Interpolation, Sampling (Trends in Mathematics) by Evgeny Abakumov (editor), Anton Baranov (editor), Alexander Borichev (editor), Konstantin Fedorovskiy (editor), Joaquim Ortega-Cerdà (editor) ISBN 9783030744168, 3030744167

(Ebook) Extended Abstracts Fall 2019: Spaces of Analytic Functions: Approximation, Interpolation, Sampling (Trends in Mathematics) by Evgeny Abakumov (editor), Anton Baranov (editor), Alexander Borichev (editor), Konstantin Fedorovskiy (editor), Joaquim Ortega-Cerdà (editor) ISBN 9783030744168, 3030744167

This book collects the abstracts of the mini-courses and lectures given during the Intensive Research Program “Spaces of Analytic Functions: Approximation, Interpolation, Sampling” which was held at the Centre de Recerca Matemàtica (Barcelona) in October–December, 2019.The topics covered in this volume are approximation, interpolation and sampling problems in spaces of analytic functions, their applications to spectral theory, Gabor analysis and random analytic functions. In many places in the book, we see how a problem related to one of the topics is tackled with techniques and ideas coming from another.The book will be of interest for specialists in Complex Analysis, Function and Operator theory, Approximation theory, and their applications, but also for young people starting their research in these areas.