Wong M.-W., Zhu H. (Eds.) Pseudo-Differential Operators: Groups, Geometry and Applications

Springer International Publishing, 2017. — 242 p. — (Trends in Mathematics) — ISBN: 9783319475110Two major congresses in mathematics took place back to back in the summer of 2015. The Tenth Congress of the International Society for Analysis, Applications and Computation (ISAAC) was hosted by the University of Macau in China on August 3–8, 2015, and this was followed by the Eighth International Congress on Industrial and AppliedMathematics (ICIAM) held at the China National Convention Center in Beijing on August 10–14, 2015. Presented at these two congresses were, respectively, the special session “Pseudo-Differential Operators” and the minisymposium “Pseudo-Differential Operators in Industries and Technologies”. The former was broader in nature embracing all aspects of pseudo-differential operators in analysis, applications and computations, and the latter was skewed towards “real-life” applications. The two camps of participants in these two events had a significant and viable intersection. The editors of this volume belonged to this intersection and decided to present a volume reflecting the core of the vibrant events with papers most appropriately classified as Groups, Geometry and Applications. The overarching themes are of course on pseudo-differential operators understood by us as always in the broadest sense. These papers are complete papers by either the participants or invited contributors. They are peer-reviewed using the standards well established in pure and applied mathematics.Pseudo-Differential Operators on the Affine Group
Pseudo-differential Operators on Non-isotropic Heisenberg
Groups with Multi-dimensional Centers
Curvature of the Heisenberg Group
Ellipticity with Global Projection Conditions
Multilinear Localization Operators Associated to Quaternion Fourier Transforms
A Time-Frequency Relationship Between the Langevin Equation and the Harmonic Oscillator
Are There Quantum Operators and Wave Functions in Standard Probability Theory
A Class of Non-Markovian Pseudo-differential Operators of Lévy Type
On the Solvability of Some System of Integro-Differential Equations with Anomalous Diffusion
Visualizing Discrete Complex-Valued Time-Frequency Representations
The Reassigned Spectrogram of the Stockwell Transform
Continuous Multiwavelet Transform for Blind Signal Separation