Pseudo-Differential Operators, Generalized Functions and Asymptotics

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Molahajloo, Shahla (Επιμελητής έκδοσης), Pilipović, Stevan (Επιμελητής έκδοσης), Toft, Joachim (Επιμελητής έκδοσης), Wong, M. W. (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
• Σειρά: Operator Theory: Advances and Applications ; 231
• Θέματα: Mathematics.; Topological groups.; Lie groups.; Global analysis (Mathematics).; Manifolds (Mathematics).; Operator theory.; Partial differential equations.; Functions of complex variables.; Several Complex Variables and Analytic Spaces.; Partial Differential Equations.; Operator Theory.; Global Analysis and Analysis on Manifolds.; Topological Groups, Lie Groups.

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 p...

Πίνακας περιεχομένων:

• 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.  .