Pseudo-Differential Operators: Groups, Geometry and Applications (eBook)

M. W. Wong, Hongmei Zhu (Herausgeber)

eBook Download: PDF

2017 | 1st ed. 2017
VIII, 239 Seiten
Springer International Publishing (Verlag)
978-3-319-47512-7 (ISBN)

Infos

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.

Inhalt

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. 

Produkt-Details

• Erscheint lt. Verlag: 20.1.2017
• Reihe/Serie: Trends in Mathematics
• Reihe/Serie: Trends in Mathematics
• Zusatzinfo: VIII, 239 p. 23 illus., 11 illus. in color.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Statistik
• Themenwelt: Technik
• Schlagworte: affine group • Curvature • ellipticity • global projection condition • Harmonic oscillator • Heisenberg group • Information and Communication, Circuits • integro-differential equation • Langevin Equation • localization operator • Partial differential equations • pseudo-differential operator • quantum operator • quaternion Fourier transform • Stockwell transform • time-frequency • wave function
• ISBN-10: 3-319-47512-6 / 3319475126
• ISBN-13: 978-3-319-47512-7 / 9783319475127