Editors:
- Features real-life applications
- Visualizes an important variant of the wavelet transform, i.e., by presenting the Stockwell transform
- Includes applications to fields other than mathematics
Part of the book series: Trends in Mathematics (TM)
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Table of contents (12 chapters)
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Front Matter
About this book
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.
Keywords
- pseudo-differential operator
- affine group
- Heisenberg group
- curvature
- ellipticity
- global projection condition
- localization operator
- quaternion Fourier transform
- time-frequency
- Langevin equation
- harmonic oscillator
- quantum operator
- wave function
- integro-differential equation
- Stockwell transform
- partial differential equations
- information and communication, circuits
Editors and Affiliations
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Department of Mathematics and Statistics, York University, Toronto, Canada
M. W. Wong, Hongmei Zhu
Bibliographic Information
Book Title: Pseudo-Differential Operators: Groups, Geometry and Applications
Editors: M. W. Wong, Hongmei Zhu
Series Title: Trends in Mathematics
DOI: https://doi.org/10.1007/978-3-319-47512-7
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-47511-0Published: 08 February 2017
Softcover ISBN: 978-3-319-83754-3Published: 13 July 2018
eBook ISBN: 978-3-319-47512-7Published: 20 January 2017
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: VIII, 239
Number of Illustrations: 12 b/w illustrations, 11 illustrations in colour
Topics: Operator Theory, Partial Differential Equations, Differential Geometry, Probability Theory and Stochastic Processes, Information and Communication, Circuits