New Trends in Approximation Theory

In Memory of André Boivin

  • Javad Mashreghi
  • Myrto Manolaki
  • Paul Gauthier

Part of the Fields Institute Communications book series (FIC, volume 81)

Table of contents

  1. Front Matter
    Pages i-x
  2. Paul Gauthier, Myrto Manolaki, Javad Mashreghi
    Pages 1-25
  3. Javier Falcó, Vassili Nestoridis, Ilias Zadik
    Pages 27-35
  4. Javad Mashreghi, Thomas Ransford
    Pages 89-129
  5. Laurent Baratchart, Juliette Leblond, Fabien Seyfert
    Pages 151-171
  6. Evgeny Abakumov, Jürgen Müller, Vassili Nestoridis
    Pages 201-213
  7. Richard Fournier, Stephan Ruscheweyh
    Pages 225-234
  8. Gabriel T. Prǎjiturǎ
    Pages 235-246
  9. Stephen J. Gardiner
    Pages 247-264
  10. Paul Gauthier, Myrto Manolaki
    Pages 265-276

About this book

Introduction

The international conference entitled "New Trends in Approximation Theory" was held at the Fields Institute, in Toronto, from July 25 until July 29, 2016. The conference was fondly dedicated to the memory of our unique friend and colleague, André Boivin, who gave tireless service in Canada until his very last moment of his life in October 2014. The impact of his warm personality and his fine work on Complex Approximation Theory was reflected by the mathematical excellence and the wide research range of the 37 participants. In total there were 27 talks, delivered by well-established mathematicians and young researchers. In particular, 19 invited lectures were delivered by leading experts of the field, from 8 different countries.

The wide variety of presentations composed a mosaic of aspects of approximation theory, highlighting interesting connections with important contemporary areas of Analysis. Primary topics discussed include application of approximation theory (isoperimetric inequalities, construction of entire order-isomorphisms, dynamical sampling); approximation by harmonic and holomorphic functions (especially uniform and tangential approximation), polynomial and rational approximation; zeros of approximants and zero-free approximation; tools used in approximation theory; approximation on complex manifolds, in product domains, and in function spaces; and boundary behaviour and universality properties of Taylor and Dirichlet series.

Keywords

isoperimetric inequalities holomorphic functions harmonic functions dynamical sampling approximation in function spaces Hardy and Bergman spaces disc algebra Branges-Rvonyak spaces Fourier inequalities Markov inequalities zero-free approximation Riemann surfaces

Editors and affiliations

  • Javad Mashreghi
    • 1
  • Myrto Manolaki
    • 2
  • Paul Gauthier
    • 3
  1. 1.Département de Mathématiques et de StatistiqueUniversité LavalQuébecCanada
  2. 2.Department of Mathematics and StatisticsUniversity of South FloridaTampaUSA
  3. 3.Département de Mathématiques et de StatistiqueUniversité de MontréalMontrealCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4939-7543-3
  • Copyright Information Springer Science+Business Media, LLC, part of Springer Nature 2018
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4939-7542-6
  • Online ISBN 978-1-4939-7543-3
  • Series Print ISSN 1069-5265
  • Series Online ISSN 2194-1564
  • About this book