Pseudo-Differential Operators: Groups, Geometry and Applications

• Corporate Author: SpringerLink (Online service)
• Other Authors: Wong, M. W. (Editor), Zhu, Hongmei (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
• Series: Trends in Mathematics,
• Subjects: Mathematics.; Operator theory.; Partial differential equations.; Information theory.; Differential geometry.; Probabilities.; Operator Theory.; Partial Differential Equations.; Differential Geometry.; Probability Theory and Stochastic Processes.; Information and Communication, Circuits.

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 Co...

Table of Contents:

• Pseudo-Differential Operators on the Affine Group
• Pseudo-Differential Operators on Non-Isotropic Heisenberg Groups with Multi-Dimensional Center
• Curvatures 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 Systems of Integro-Differential Equations with Anomalous Diffusion
• Visualizing Discrete Complex-Valued Time-Frequency Representations
• The Reassigned Spectrogram of the Stockwell transform
• Continuous Multi-Wavelet Transforms for Blind Signal Separation. .