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Analysis of Operators on Function Spaces

The Serguei Shimorin Memorial Volume

  • Book
  • © 2019

Overview

Editors:
  1. Alexandru Aleman

    1. Mathematics Department, Lund University, Lund, Sweden

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  2. Haakan Hedenmalm

    1. Department of Mathematics, The Royal Institute of Technology, Stockholm, Sweden

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  3. Dmitry Khavinson

    1. Department of Mathematics, University of South California, Tampa, USA

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  4. Mihai Putinar

    1. Mathematics Department, University of California, Santa Barbara, USA

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  • Includes photographs by Serguei Shimorin
  • Provides a vivid account of Serguei Shimorin's scientific life and legacy
  • Features personal recollections

Part of the book series: Trends in Mathematics (TM)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-vii
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  2. My Recollections of Serguei Shimorin

    • Haakan Hedenmalm
    Pages 1-4

  3. Localization of Zeros in Cauchy–de Branges Spaces

    • Evgeny Abakumov, Anton Baranov, Yurii Belov
    Pages 5-27

  4. Radially Weighted Besov Spaces and the Pick Property

    • Alexandru Aleman, Michael Hartz, John E. McCarthy, Stefan Richter
    Pages 29-61

  5. Interpolation Between Hilbert Spaces

    • Yacin Ameur
    Pages 63-115

  6. A Panorama of Positivity. I: Dimension Free

    • Alexander Belton, Dominique Guillot, Apoorva Khare, Mihai Putinar
    Pages 117-165

  7. Inner Functions in Reproducing Kernel Spaces

    • Raymond Cheng, Javad Mashreghi, William T. Ross
    Pages 167-211

  8. Spherically Quasinormal Pairs of Commuting Operators

    • Raúl E. Curto, Jasang Yoon
    Pages 213-237

  9. Remarks on the Interplay Between Algebra and PDE

    • Dmitry Khavinson
    Pages 239-246

  10. Which Quartic Polynomials Have a Hyperbolic Antiderivative?

    • Rajesh Pereira
    Pages 247-250

  11. Positive Integral Kernels for Polar Derivatives

    • Mihai Putinar, Serguei Shimorin
    Pages 251-258

  12. The Weak Type Estimates of Two Different Martingale Transforms Coincide

    • Alexander Reznikov, Alexander Volberg
    Pages 259-274

  13. Back Matter

    Pages 275-281
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Keywords

About this book

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.

Editors and Affiliations

  • Mathematics Department, Lund University, Lund, Sweden

    Alexandru Aleman

  • Department of Mathematics, The Royal Institute of Technology, Stockholm, Sweden

    Haakan Hedenmalm

  • Department of Mathematics, University of South California, Tampa, USA

    Dmitry Khavinson

  • Mathematics Department, University of California, Santa Barbara, USA

    Mihai Putinar

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