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Birkhäuser

50 Years with Hardy Spaces

A Tribute to Victor Havin

  • Book
  • © 2018

Overview

Editors:
  1. Anton Baranov

    1. Department of Mathematics and Mechanics, Saint Petersburg State University, Saint Petersburg, Russia

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  2. Sergei Kisliakov

    1. Russian Academy, Steklov Institute of Mathematics Russian Academy, Saint Petersburg, Russia

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  3. Nikolai Nikolski

    1. Université de Bordeaux, Department of Mathematics & Informatics, Talence, France

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  • Provides surveys and original papers by internationally recognized authors
  • Presents Victor Havin's mathematical heritage and describes life during the former Soviet Union regime
  • Includes a number of photographs never published before

Part of the book series: Operator Theory: Advances and Applications (OT, volume 261)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-vii
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  2. Havin’s Biomathography

    1. Front Matter

      Pages 1-1
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    2. Victor Petrovich Havin, A Life Devoted to Mathematics

      • Anton Baranov, Sergei Kisliakov, Nikolai Nikolski
      Pages 3-66

    3. Mathematics as a Source of Certainty and Uncertainty

      • Anton Baranov, Sergei Kisliakov, Nikolai Nikolski, V. P. Havin
      Pages 67-73

    4. Remembering Victor Petrovich Havin

      • Konstantin M. Dyakonov
      Pages 75-80

  3. Contributed Papers

    1. Front Matter

      Pages 81-81
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    2. Interpolation by the Derivatives of Operator Lipschitz Functions

      • A. B. Aleksandrov
      Pages 83-95

    3. Discrete Multichannel Scattering with Step-like Potential

      • Isaac Alvarez-Romero, Yurii Lyubarskii
      Pages 97-120

    4. Note on the Resonance Method for the Riemann Zeta Function

      • Andriy Bondarenko, Kristian Seip
      Pages 121-139

    5. Spectra of Stationary Processes on \(\mathbb{Z}\)

      • Alexander Borichev, Mikhail Sodin, Benjamin Weiss
      Pages 141-157

    6. Index Formulas for Toeplitz Operators, Approximate Identities, and the Wolf–Havin Theorem

      • Albrecht Böttcher
      Pages 159-171

    7. Bounded Point Derivations on Certain Function Algebras

      • J. E. Brennan
      Pages 173-190

    8. Three Problems in Function Theory

      • J. E. Brennan
      Pages 191-227

    9. Various Sharp Estimates for Semi-discrete Riesz Transforms of the Second Order

      • K. Domelevo, A. OsÄ™kowski, S. Petermichl
      Pages 229-255

    10. On the Maximum Principle for the Riesz Transform

      • Vladimir Eiderman, Fedor Nazarov
      Pages 257-266

    11. Submultiplicative Operators on Ck-Spaces

      • Dmitry Faifman, Hermann König, Vitali Milman
      Pages 267-279

    12. Isoperimetric Functional Inequalities via the Maximum Principle: The Exterior Differential Systems Approach

      • Paata Ivanisvili, Alexander Volberg
      Pages 281-305

    13. Fundamental Groups, Slalom Curves and Extremal Length

      • Burglind Jöricke
      Pages 307-315

    14. Sparse Bounds for Random Discrete Carleson Theorems

      • Ben Krause, Michael T. Lacey
      Pages 317-332

    15. Nodal Sets of Laplace Eigenfunctions: Estimates of the Hausdorff Measure in Dimensions Two and Three

      • Alexander Logunov, Eugenia Malinnikova
      Pages 333-344
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Keywords

About this book

Written in honor of Victor Havin (1933–2015), this volume presents a collection of surveys and original papers on harmonic and complex analysis, function spaces and related topics, authored by internationally recognized experts in the fields. It also features an illustrated scientific biography of Victor Havin, one of the leading analysts of the second half of the 20th century and founder of the Saint Petersburg Analysis Seminar. A complete list of his publications, as well as his public speech "Mathematics as a source of certainty and uncertainty", presented at the Doctor Honoris Causa ceremony at Linköping University, are also included. 

Editors and Affiliations

  • Department of Mathematics and Mechanics, Saint Petersburg State University, Saint Petersburg, Russia

    Anton Baranov

  • Russian Academy, Steklov Institute of Mathematics Russian Academy, Saint Petersburg, Russia

    Sergei Kisliakov

  • UniversitĂ© de Bordeaux, Department of Mathematics & Informatics, Talence, France

    Nikolai Nikolski

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