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.
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Springer International Publishing
Illustrationen
11
12 s/w Abbildungen, 11 farbige Abbildungen
VIII, 239 p. 23 illus., 11 illus. in color.
Dateigröße
ISBN-13
978-3-319-47512-7 (9783319475127)
DOI
10.1007/978-3-319-47512-7
Schweitzer Klassifikation
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.
