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Pseudo-Differential Operators: Groups, Geometry and Applications / edited by M. W. Wong, Hongmei Zhu.
Springer Nature - Springer Mathematics and Statistics eBooks 2017 English International Available online
View online- Format:
- Book
- Series:
- Trends in Mathematics, 2297-024X
- Language:
- English
- Subjects (All):
- Operator theory.
- Differential equations.
- Geometry, Differential.
- Probabilities.
- Computer science--Mathematics.
- Computer science.
- Operator Theory.
- Differential Equations.
- Differential Geometry.
- Probability Theory.
- Mathematical Applications in Computer Science.
- Local Subjects:
- Operator Theory.
- Differential Equations.
- Differential Geometry.
- Probability Theory.
- Mathematical Applications in Computer Science.
- Physical Description:
- 1 online resource (VIII, 239 p. 23 illus., 11 illus. in color.)
- Edition:
- 1st ed. 2017.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
- Summary:
- 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.
- 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. .
- Notes:
- Includes bibliographical references at the end of each chapters.
- ISBN:
- 3-319-47512-6
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