Analysis of Operators on Function Spaces: The Serguei Shimorin Memorial Volume

Description

This book contains both expository articles and original research in the areas of function theory and operator theory. The contributions include extended versions of some of the lectures by invited speakers at the conference in honor of the memory of Serguei Shimorin at the Mittag-Leffler Institute in the summer of 2018. The book is intended for all researchers in the fields of function theory, operator theory and complex analysis in one or several variables. The expository articles reflecting the current status of several well-established and very dynamical areas of research will be accessible and useful to advanced graduate students and young researchers in pure and applied mathematics, and also to engineers and physicists using complex analysis methods in their investigations. Front Matter ....Pages i-vii My Recollections of Serguei Shimorin (Haakan Hedenmalm)....Pages 1-4 Localization of Zeros in Cauchy–de Branges Spaces (Evgeny Abakumov, Anton Baranov, Yurii Belov)....Pages 5-27 Radially Weighted Besov Spaces and the Pick Property (Alexandru Aleman, Michael Hartz, John E. McCarthy, Stefan Richter)....Pages 29-61 Interpolation Between Hilbert Spaces (Yacin Ameur)....Pages 63-115 A Panorama of Positivity. I: Dimension Free (Alexander Belton, Dominique Guillot, Apoorva Khare, Mihai Putinar)....Pages 117-165 Inner Functions in Reproducing Kernel Spaces (Raymond Cheng, Javad Mashreghi, William T. Ross)....Pages 167-211 Spherically Quasinormal Pairs of Commuting Operators (Raúl E. Curto, Jasang Yoon)....Pages 213-237 Remarks on the Interplay Between Algebra and PDE (Dmitry Khavinson)....Pages 239-246 Which Quartic Polynomials Have a Hyperbolic Antiderivative? (Rajesh Pereira)....Pages 247-250 Positive Integral Kernels for Polar Derivatives (Mihai Putinar, Serguei Shimorin)....Pages 251-258 The Weak Type Estimates of Two Different Martingale Transforms Coincide (Alexander Reznikov, Alexander Volberg)....Pages 259-274 Back Matter ....Pages 275-281