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Fourier Analysis

Pseudo-differential Operators, Time-Frequency Analysis and Partial Differential Equations

  • Conference proceedings
  • © 2014

Overview

Editors:
  1. Michael Ruzhansky

    1. Imperial College London Department of Mathematics, London, United Kingdom

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  2. Ville Turunen

    1. Dept. of Mathematics & System Analysis, Aalto University, Aalto, Finland

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    You can also search for this editor in PubMed   Google Scholar

  • Disseminates recent progress in Fourier analysis and its applications to several areas of mathematics
  • Contains contributions in the theory of pseudo-differential operators, partial differential equations and in the field of time-frequency analysis
  • Refereed articles are detailed and cover a wide spectrum of topics ranging from theory to applications
  • Presents interactions of different aspects within the field for the benefit of experts and students alike
  • Includes supplementary material: sn.pub/extras

Part of the book series: Trends in Mathematics (TM)

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Table of contents (20 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Optimal Constant for a Smoothing Estimate of Critical Index

    • Neal Bez, Mitsuru Sugimoto
    Pages 1-7

  3. The Interplay Between Time-dependent Speed of Propagation and Dissipation in Wave Models

    • Tang Bao Ngoc Bui, Michael Reissig
    Pages 9-45

  4. A Note on Complete Hyperbolic Operators with log-Zygmund Coefficients

    • Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli, Guy Métivier
    Pages 47-72

  5. A Few Remarks on Time-frequency Analysis of Gevrey, Analytic and Ultra-analytic Functions

    • Elena Cordero, Fabio Nicola, Luigi Rodino
    Pages 73-90

  6. Global Wave-front Sets of Intersection and Union Type

    • Sandro Coriasco, Karoline Johansson, Joachim Toft
    Pages 91-106

  7. A Pseudo-differential Calculus on Graded Nilpotent Lie Groups

    • Véronique Fischer, Michael Ruzhansky
    Pages 107-132

  8. L p Microlocal Properties for Vector Weighted Pseudodifferential Operators with Smooth Symbols

    • Gianluca Garello, Alessandro Morando
    Pages 133-148

  9. A Parametrix Construction for the Laplacian on ℚ-rank 1 Locally Symmetric Spaces

    • D. Grieser, E. Hunsicker
    Pages 149-186

  10. A Class of Elliptic Operators on a Manifold with Edge and Boundary

    • N. Habal, W. Rungrottheera, B.-W. Schulze
    Pages 187-209

  11. A Representation of the Fundamental Solution for the Fokker–Planck Equation and Its Application

    • Chisato Iwasaki
    Pages 211-233

  12. The Fourier Transform and Convolutions Generated by a Differential Operator with Boundary Condition on a Segment

    • Baltabek Kanguzhin, Niyaz Tokmagambetov
    Pages 235-251

  13. Global Existence for Quadratically Perturbed Massless Dirac Equations Under the Null Condition

    • Soichiro Katayama, Hideo Kubo
    Pages 253-262

  14. Singular Partial Differential Operators and Pseudo-differential Boundary Conditions in Invisibility Cloaking

    • Matti Lassas, T. Zhou
    Pages 263-284

  15. Perturbed Besov Spaces by a Short-range Type Potential in an Exterior Domain

    • Tokio Matsuyama
    Pages 285-309

  16. On the Cauchy Problem for Hyperbolic Operators with Double Characteristics, a Transition Case

    • Tatsuo Nishitani
    Pages 311-334

  17. Differentiation Functor and Its Application in the Optimization Control Theory

    • Simon Ya. Serovajsky
    Pages 335-347

  18. The Solution of the Initial Mixed Boundary Value Problem for Hyperbolic Equations by Monte Carlo and Probability Difference Methods

    • Kanat Shakenov
    Pages 349-355

  19. Weak Monotonicity Concept and Its Applications

    • S. Tikhonov, M. Zeltser
    Pages 357-374

  20. Critical Exponent for the Semilinear Wave Equation with Scale Invariant Damping

    • Yuta Wakasugi
    Pages 375-390
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Keywords

About this book

This book is devoted to the broad field of Fourier analysis and its applications to several areas of mathematics, including problems in the theory of pseudo-differential operators, partial differential equations, and time-frequency analysis. It is based on lectures given at the international conference “Fourier Analysis and Pseudo-Differential Operators,” June 25–30, 2012, at Aalto University, Finland. This collection of 20 refereed articles is based on selected talks and presents the latest advances in the field. The conference was a satellite meeting of the 6th European Congress of Mathematics, which took place in Krakow in July 2012; it was also the 6th meeting in the series “Fourier Analysis and Partial Differential Equations.”

Editors and Affiliations

  • Imperial College London Department of Mathematics, London, United Kingdom

    Michael Ruzhansky

  • Dept. of Mathematics & System Analysis, Aalto University, Aalto, Finland

    Ville Turunen

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