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© 2017

Pseudo-Differential Operators: Groups, Geometry and Applications

  • M. W. Wong
  • Hongmei Zhu

Benefits

  • Features real-life applications

  • Visualizes an important variant of the wavelet transform, i.e., by presenting the Stockwell transform

  • Includes applications to fields other than mathematics

Book

Part of the Trends in Mathematics book series (TM)

About this book

Introduction

This volume consists of papers inspired by the special session on pseudo-differential operators at the 10th ISAAC Congress held at the University of Macau, August 3-8, 2015 and the mini-symposium on pseudo-differential operators in industries and technologies at the 8th ICIAM held at the National Convention Center in Beijing, August 10-14, 2015.

The twelve papers included present cutting-edge trends in pseudo-differential operators and applications from the perspectives of Lie groups (Chapters 1-2), geometry (Chapters 3-5) and applications (Chapters 6-12). Many contributions cover applications in probability, differential equations and time-frequency analysis. A focus on the synergies of pseudo-differential operators with applications, especially real-life applications, enhances understanding of the analysis and the usefulness of these operators.

Keywords

pseudo-differential operator affine group Heisenberg group curvature ellipticity global projection condition localization operator quaternion Fourier transform time-frequency Langevin equation harmonic oscillator quantum operator wave function integro-differential equation Stockwell transform

Editors and affiliations

  • M. W. Wong
    • 1
  • Hongmei Zhu
    • 2
  1. 1.Department of Mathematics and StatisticsYork UniversityTorontoCanada
  2. 2.Department of Mathematics and StatisticsYork UniversityTorontoCanada

Bibliographic information