© 2017

Generalized Functions and Fourier Analysis

Dedicated to Stevan Pilipović on the Occasion of his 65th Birthday

  • Michael Oberguggenberger
  • Joachim Toft
  • Jasson Vindas
  • Patrik Wahlberg

Part of the Operator Theory: Advances and Applications book series (OT, volume 260)

Also part of the Advances in Partial Differential Equations book sub series (APDE, volume 260)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Alessia Ascanelli, Sandro Coriasco, André Süß
    Pages 1-18
  3. Florian Baumgartner, Michael Oberguggenberger, Martin Schwarz
    Pages 19-30
  4. Yuanyuan Chen, Mikael Signahl, Joachim Toft
    Pages 31-44
  5. Gregory Debruyne, Jasson Vindas
    Pages 79-94
  6. Paolo Giordano, Michael Kunzinger
    Pages 95-114
  7. Tijana Levajković, Hermann Mena, Amjad Tuffaha
    Pages 115-151
  8. Đorđe Vučković, Jasson Vindas
    Pages 253-267

About this book


This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis. The volume is a collection of chapters addressing these fields, their interaction, their unifying concepts and their applications and is based on scientific activities related to the International Association for Generalized Functions (IAGF) and the ISAAC interest groups on Pseudo-Differential Operators (IGPDO) and on Generalized Functions (IGGF), notably on the longstanding collaboration of these groups within ISAAC.


Generalized functions Fourier analysis time-frequency analysis pseudodifferential operators partial differential equations microlocal analysis

Editors and affiliations

  • Michael Oberguggenberger
    • 1
  • Joachim Toft
    • 2
  • Jasson Vindas
    • 3
  • Patrik Wahlberg
    • 4
  1. 1.Arbeitsbereich für Technische MathematikUniversität InnsbruckInnsbruckAustria
  2. 2.Department of MathematicsLinnaeus UniversityVäxjöSweden
  3. 3.Department of MathematicsGhent UniversityGentBelgium
  4. 4.Department of MathematicsLinnaeus UniversityVäxjöSweden

Bibliographic information

  • Book Title Generalized Functions and Fourier Analysis
  • Book Subtitle Dedicated to Stevan Pilipović on the Occasion of his 65th Birthday
  • Editors Michael Oberguggenberger
    Joachim Toft
    Jasson Vindas
    Patrik Wahlberg
  • Series Title Operator Theory: Advances and Applications
  • Series Abbreviated Title Operator Theory (Birkhäuser)
  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-319-51910-4
  • Softcover ISBN 978-3-319-84776-4
  • eBook ISBN 978-3-319-51911-1
  • Series ISSN 0255-0156
  • Series E-ISSN 2296-4878
  • Edition Number 1
  • Number of Pages VIII, 276
  • Number of Illustrations 4 b/w illustrations, 0 illustrations in colour
  • Topics Partial Differential Equations
    Abstract Harmonic Analysis
    Functional Analysis
    Operator Theory
  • Buy this book on publisher's site
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