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  • Book
  • © 2017

Generalized Functions and Fourier Analysis

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

Birkhäuser

Editors:

  1. Michael Oberguggenberger

    1. Arbeitsbereich für Technische Mathematik, Universität Innsbruck, Innsbruck, Austria

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  2. Joachim Toft

    1. Department of Mathematics, Linnaeus University, Växjö, Sweden

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  3. Jasson Vindas

    1. Department of Mathematics, Ghent University, Gent, Belgium

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  4. Patrik Wahlberg

    1. Department of Mathematics, Linnaeus University, Växjö, Sweden

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  • Gives and up-to-date overview on the convergence and joint progress of Generalized Functions and Fourier Analysis
  • Joint collaboration of IAGF, IGPDO and IGGF
  • Dedicated to Prof. Stevan Pilipovic

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

Part of the book sub series: Advances in Partial Differential Equations (APDE)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-viii
    PDF

  2. On Temperate Distributions Decaying at Infinity

    • Alessia Ascanelli, Sandro Coriasco, André Süß
    Pages 1-18

  3. Transport in a Stochastic Goupillaud Medium

    • Florian Baumgartner, Michael Oberguggenberger, Martin Schwarz
    Pages 19-30

  4. Hilbert Space Embeddings for Gelfand–Shilov and Pilipović Spaces

    • Yuanyuan Chen, Mikael Signahl, Joachim Toft
    Pages 31-44

  7. On General Prime Number Theorems with Remainder

    • Gregory Debruyne, Jasson Vindas
    Pages 79-94

  8. Inverse Function Theorems for Generalized Smooth Functions

    • Paolo Giordano, Michael Kunzinger
    Pages 95-114

  9. The Stochastic LQR Optimal Control with Fractional Brownian Motion

    • Tijana Levajković, Hermann Mena, Amjad Tuffaha
    Pages 115-151

  16. Rotation Invariant Ultradistributions

    • Đorđe Vučković, Jasson Vindas
    Pages 253-267
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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.



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Keywords

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Editors and Affiliations

  • Arbeitsbereich für Technische Mathematik, Universität Innsbruck, Innsbruck, Austria

    Michael Oberguggenberger

  • Department of Mathematics, Linnaeus University, Växjö, Sweden

    Joachim Toft, Patrik Wahlberg

  • Department of Mathematics, Ghent University, Gent, Belgium

    Jasson Vindas

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