Pseudo-Differential Operators: Groups, Geometry and Applications
Springer International Publishing (Verlag)
978-3-319-47511-0 (ISBN)
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.
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.
| Erscheinungsdatum | 18.02.2017 |
|---|---|
| Reihe/Serie | Trends in Mathematics |
| Zusatzinfo | VIII, 239 p. 23 illus., 11 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Schlagworte | affine group • Applied mathematics • Curvature • Differential and Riemannian geometry • Differential calculus and equations • Differential Geometry • ellipticity • Functional analysis and transforms • global projection condition • Harmonic oscillator • Heisenberg group • Information and Communication, Circuits • integro-differential equation • Langevin Equation • localization operator • Mathematics • mathematics and statistics • operator theory • Partial differential equations • probability and statistics • Probability theory and stochastic processes • pseudo-differential operator • quantum operator • quaternion Fourier transform • stochastics • Stockwell transform • time-frequency • wave function |
| ISBN-10 | 3-319-47511-8 / 3319475118 |
| ISBN-13 | 978-3-319-47511-0 / 9783319475110 |
| Zustand | Neuware |
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