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This book contains both expository articles and original research in the areas of function theory and operator theory. The book is intended for all researchers in the fields of function theory, operator theory and complex analysis in one or several variables.
My recollections of Serguei Shimorin.- Localization of zeros in cauchy-de Branges spaces.- Radially weighted Besov spaces and the Pick property.- Interpolation between Hilbert spaces.- A panorama of positivity. I: Dimension free.- Inner functions in reproducing Kernel Spaces.- Spherically quasinermal pairs of commuting operators.- Remarks on the Interplay Between Algebra and PDE.- Which quartic polynomials have a hyperbolic antiderivative?.- Positive integral Kernels for polar Derivatives.- The weak type estimates of two different martingale transforms coincide.- Photographs by Serguei Shimorin.
Jean Bernard Lasserre, Edouard Pauwels, Mihai Putinar, Toulouse) Pauwels, Edouard (Institut de Recherche en Informatique, Santa Barbara) Putinar, Mihai (University of California