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Birkhäuser

Generalized Functions and Fourier Analysis

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

  • Book
  • © 2017

Overview

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
    Download chapter 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

  5. Blow-up Phenomena for Solutions of Discrete Nonlinear p-Laplacian Parabolic Equations on Networks

    • Soon-Yeong Chung
    Pages 45-58

  6. Generalized Function Algebras Containing Spaces of Periodic Ultradistributions

    • Andreas Debrouwere
    Pages 59-78

  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

  10. Multi-soliton Collision for Essentially Nonintegrable Equations

    • George Omel’yanov
    Pages 153-170

  11. Microlocal Solvability and Subellipticity of Several Classes of Pseudodifferential Operators with Involutive Characteristics

    • P. R. Popivanov
    Pages 171-184

  12. An Observation of the Subspaces of \( \mathcal{S}^{\prime} \)

    • Yoshihiro Sawano
    Pages 185-192

  13. Ultradifferentiable Functions of Class \( M_p^{\tau ,\sigma } \) and Microlocal Regularity

    • Nenad Teofanov, Filip Tomić
    Pages 193-213

  14. Matrix Parameterized Pseudo-differential Calculi on Modulation Spaces

    • Joachim Toft
    Pages 215-235

  15. An Application of Internal Objects to Microlocal Analysis in Generalized Function Algebras

    • H. Vernaeve
    Pages 237-251

  16. Rotation Invariant Ultradistributions

    • Đorđe Vučković, Jasson Vindas
    Pages 253-267

  17. Eigenvalue Problems of Toeplitz Operators in Bargmann–Fock Spaces

    • Kunio Yoshino
    Pages 269-276
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Keywords

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.



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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