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  • Conference proceedings
  • © 2015

Pseudo-Differential Operators and Generalized Functions

Birkhäuser
  • Offers a strong stimulus for the further development of the fields covered
  • Provides a variety of applications, especially in the contexts of generalized manifolds, microlocal analysis and the analysis of equations with singularities
  • Presents a valuable complement to its predecessors published in the OT series
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 245)

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

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Table of contents (19 papers)

  1. Front Matter

    Pages i-viii
  2. A Class of Fourier Integral Operators on Manifolds with Boundary

    • Ubertino Battisti, Sandro Coriasco, Elmar Schrohe
    Pages 1-19
  3. Gabor Wave Packets and Evolution Operators

    • Elena Cordero, Fabio Nicola, Luigi Rodino
    Pages 45-59
  4. A Weighted Version of Wiener’s Lemma in p-normed Algebras for 0 < p ≤ 1

    • Stevan Pilipović, Joachim Toft, Henrik Fredriksson
    Pages 61-66
  5. Gelfand–Shilov Type Spaces Through Hermite Expansions

    • Todor Gramchev, Alexander Lecke, Stevan Pilipović, Luigi Rodino
    Pages 95-105
  6. A Regularization Approach to Non-smooth Symplectic Geometry

    • Günther Hörmann, Sanja Konjik, Michael Kunzinger
    Pages 119-132
  7. Equivalent Conditions for Integrability of Distributions

    • Svetlana Mincheva-Kamińska
    Pages 133-147
  8. The Ridgelet Transform and Quasiasymptotic Behavior of Distributions

    • Sanja Kostadinova, Stevan Pilipović, Katerina Saneva, Jasson Vindas
    Pages 185-197
  9. Equations Involving Malliavin Derivative: A Chaos Expansion Approach

    • Tijana Levajković, Hermann Mena
    Pages 199-216
  10. On Generalized Solutions to Stochastic Systems

    • Irina V. Melnikova, Uliana A. Alekseeva
    Pages 231-241
  11. Geodesic Completeness of Generalized Space-times

    • Clemens Sämann, Roland Steinbauer
    Pages 243-253

About this book

This book gathers peer-reviewed contributions representing modern trends in the theory of generalized functions and pseudo-differential operators. It is dedicated to Professor Michael Oberguggenberger (Innsbruck University, Austria) in honour of his 60th birthday. The topics covered were suggested by the ISAAC Group in Generalized Functions (GF) and the ISAAC Group in Pseudo-Differential Operators (IGPDO), which met at the 9th ISAAC congress in Krakow, Poland in August 2013. Topics include Columbeau algebras, ultra-distributions, partial differential equations, micro-local analysis, harmonic analysis, global analysis, geometry, quantization, mathematical physics, and time-frequency analysis. Featuring both essays and research articles, the book will be of great interest to graduate students and researchers working in analysis, PDE and mathematical physics, while also offering a valuable complement to the volumes on this topic previously published in the OT series.

Editors and Affiliations

  • Dept. of Mathematics & Informatics, University of Novi Sad, Novi Sad, Serbia

    Stevan Pilipović

  • Dept. of Computer Science, Physics and Mathematics, Linnæus University, Växjö, Sweden

    Joachim Toft

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 54.99
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