Skip to main content
  • Book
  • © 2018

New Trends in Approximation Theory

In Memory of André Boivin

  • Comprises a mosaic of multiple aspects of approximation theory
  • Highlights interesting connections between aspects of approximation theory and important contemporary areas of analysis
  • Contains contributions by well-established mathematicians

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

Buy it now

Buying options

eBook USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 119.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 119.00
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (15 chapters)

  1. Front Matter

    Pages i-x
  2. The Life and Work of André Boivin

    • Paul Gauthier, Myrto Manolaki, Javad Mashreghi
    Pages 1-25
  3. A Note on the Density of Rational Functions in A (Ω)

    • Javier Falcó, Vassili Nestoridis, Ilias Zadik
    Pages 27-35
  4. Approximation in the Closed Unit Ball

    • Javad Mashreghi, Thomas Ransford
    Pages 89-129
  5. Constrained L2-Approximation by Polynomials on Subsets of the Circle

    • Laurent Baratchart, Juliette Leblond, Fabien Seyfert
    Pages 151-171
  6. Families of Universal Taylor Series Depending on a Parameter

    • Evgeny Abakumov, Jürgen Müller, Vassili Nestoridis
    Pages 201-213
  7. On Two Interpolation Formulas for Complex Polynomials

    • Richard Fournier, Stephan Ruscheweyh
    Pages 225-234
  8. Operators with Simple Orbital Behavior

    • Gabriel T. Prǎjiturǎ
    Pages 235-246
  9. Taylor Series, Universality and Potential Theory

    • Stephen J. Gardiner
    Pages 247-264
  10. Subharmonic Images of a Convergent Sequence

    • Paul Gauthier, Myrto Manolaki
    Pages 265-276

About this book

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.

Editors and Affiliations

  • Département de Mathématiques et de Statistique, Université Laval, Québec, Canada

    Javad Mashreghi

  • Department of Mathematics and Statistics, University of South Florida, Tampa, USA

    Myrto Manolaki

  • Département de Mathématiques et de Statistique, Université de Montréal, Montreal, Canada

    Paul Gauthier

Bibliographic Information

  • Book Title: New Trends in Approximation Theory

  • Book Subtitle: In Memory of André Boivin

  • Editors: Javad Mashreghi, Myrto Manolaki, Paul Gauthier

  • Series Title: Fields Institute Communications

  • DOI: https://doi.org/10.1007/978-1-4939-7543-3

  • Publisher: Springer New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 2018

  • Hardcover ISBN: 978-1-4939-7542-6Published: 29 March 2018

  • Softcover ISBN: 978-1-4939-9248-5Published: 10 December 2019

  • eBook ISBN: 978-1-4939-7543-3Published: 28 March 2018

  • Series ISSN: 1069-5265

  • Series E-ISSN: 2194-1564

  • Edition Number: 1

  • Number of Pages: X, 278

  • Number of Illustrations: 9 b/w illustrations, 18 illustrations in colour

  • Topics: Approximations and Expansions

Buy it now

Buying options

eBook USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 119.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 119.00
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access