Pseudo-Differential Operators, Generalized Functions and Asymptotics / edited by Shahla Molahajloo, Stevan Pilipović, Joachim Toft, M. W. Wong
(Operator Theory: Advances and Applications ; 231)
| データ種別 | 電子ブック |
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| 出版者 | Basel : Springer Basel : Imprint: Birkhäuser |
| 出版年 | 2013 |
| 本文言語 | 英語 |
| 大きさ | VIII, 370 p. 6 illus., 1 illus. in color : online resource |
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| 内容注記 | Preface Elliptic Theory for Operators Associated with Diffeomorphisms of Smooth Manifolds The Singular Functions of Branching Edge Asymptotics The Heat Kernel and Green Function of the Sub-Laplacian on the Heisenberg Group Metaplectic Equivalence of the Hierarchical Twisted Laplacian The Heat Kernel and Green Function of a Sub-Laplacian on the Hierarchical Heisenberg Group Lp-Bounds for Pseudo-Differential Operators on the Torus Multiplication Properties in Gelfand-Shilov Pseudo-Differential Calculus Operator Invariance Initial Value Problems in the Time-Frequency Domain Polycaloric Distributions and the Generalized Iterated Heat Operator Smoothing Effect and Fredholm Property for First-Order Hyperbolic PDEs A Note on Wave-Front Sets of Roumieu Type Ultradistributions Ordinary Differential Equations in Algebras of Generalized Functions Asymptotically Almost Periodic Generalized Functions Wave Equations and Symmetric First-Order Systems in Case of Low Regularity Concept of Delta-Shock Type Solutions to Systems of Conservation Laws and the Rankine-Hugoniot Conditions Classes of Generalized Functions with Finite Type Regularities The Wave Equation with a Discontinuous Coefficient Depending on Time Only: Generalized Solutions and Propagation of Singularities Gerenalized Solutions of Abstract Stochastic Problems Nonhomogeneous First-Order Linear Malliavin Type Differential Equation. |
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| 一般注記 | This volume consists of twenty peer-reviewed papers from the special sessions on pseudodifferential operators and on generalized functions and asymptotics at the Eighth Congress of ISAAC held at the Peoples’ Friendship University of Russia in Moscow on August 22‒27, 2011. The category of papers on pseudo-differential operators contains such topics as elliptic operators assigned to diffeomorphisms of smooth manifolds, analysis on singular manifolds with edges, heat kernels and Green functions of sub-Laplacians on the Heisenberg group and Lie groups with more complexities than but closely related to the Heisenberg group, L^p-boundedness of pseudo-differential operators on the torus, and pseudo-differential operators related to time-frequency analysis. The second group of papers contains various classes of distributions and algebras of generalized functions with applications in linear and nonlinear differential equations, initial value problems and boundary value problems, stochastic and Malliavin-type differential equations. This second group of papers is related to the third collection of papers via the setting of Colombeau-type spaces and algebras in which microlocal analysis is developed by means of techniques in asymptotics. The volume contains the synergies of the three areas treated and is a useful complement to its predecessors published in the same series |
| 著者標目 | Molahajloo, Shahla editor Pilipović, Stevan editor Toft, Joachim editor Wong, M. W. editor SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Topological groups LCSH:Lie groups LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Operator theory LCSH:Partial differential equations LCSH:Functions of complex variables FREE:Mathematics FREE:Several Complex Variables and Analytic Spaces FREE:Partial Differential Equations FREE:Operator Theory FREE:Global Analysis and Analysis on Manifolds FREE:Topological Groups, Lie Groups |
| 分 類 | DC23:515.94 |
| 巻冊次 | ISBN:9783034805858 
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| ISBN | 9783034805858 |
| URL | http://dx.doi.org/10.1007/978-3-0348-0585-8 |
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