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＜電子ブック＞
Pseudo-Differential Operators: Groups, Geometry and Applications / edited by M. W. Wong, Hongmei Zhu
(Trends in Mathematics. ISSN:2297024X)

版	1st ed. 2017.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2017
大きさ	VIII, 239 p. 23 illus., 11 illus. in color : online resource
著者標目	Wong, M. W editor Zhu, Hongmei editor SpringerLink (Online service)
件　名	LCSH:Operator theory LCSH:Differential equations LCSH:Geometry, Differential LCSH:Probabilities LCSH:Computer science—Mathematics FREE:Operator Theory FREE:Differential Equations FREE:Differential Geometry FREE:Probability Theory FREE:Mathematical Applications in Computer Science
一般注記	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. 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 HTTP:URL=https://doi.org/10.1007/978-3-319-47512-7

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