04449nam 22006855 450 991016302590332120220407222849.03-319-47512-610.1007/978-3-319-47512-7(CKB)3710000001045334(DE-He213)978-3-319-47512-7(MiAaPQ)EBC4799356(PPN)198868936(EXLCZ)99371000000104533420170202d2017 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierPseudo-differential operators: groups, geometry and applications /edited by M. W. Wong, Hongmei Zhu1st ed. 2017.Cham :Springer International Publishing :Imprint: Birkhäuser,2017.1 online resource (VIII, 239 p. 23 illus., 11 illus. in color.)Trends in Mathematics,2297-02153-319-47511-8 Includes bibliographical references at the end of each chapters.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.Trends in Mathematics,2297-0215Operator theoryDifferential equations, PartialGeometry, DifferentialProbabilitiesInformation theoryOperator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Differential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Information and Communication, Circuitshttps://scigraph.springernature.com/ontologies/product-market-codes/M13038Operator theory.Differential equations, Partial.Geometry, Differential.Probabilities.Information theory.Operator Theory.Partial Differential Equations.Differential Geometry.Probability Theory and Stochastic Processes.Information and Communication, Circuits.515.7242Wong M. Wedthttp://id.loc.gov/vocabulary/relators/edtZhu Hongmeiedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910163025903321Pseudo-Differential Operators: Groups, Geometry and Applications1560520UNINA