Pseudo-differential operators, generalized functions and asymptotics /

Pseudo-differential operators, generalized functions and asymptotics /

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Bibliographic Details
Imprint:Basel ; New York : Birkhäuser, c2013.
Description:1 online resource.
Language:English
Series:Operator theory, Advances and applications ; v.231
Operator theory, advances and applications ; v.231.
Subject:
Pseudodifferential operators.
Differential equations.
Differential equations.
Pseudodifferential operators.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/9850093
Hidden Bibliographic Details
Other authors / contributors:Molahajloo, Shahla.
ISBN:9783034805858 (electronic bk.)
3034805853 (electronic bk.)
9783034805841
Notes:Includes bibliographical references.
Summary: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.
Table of Contents:
  • Elliptic Theory for Operators Associated with Diffeomorphisms of Smooth Manifolds / Anton Savin, Boris Sternin
  • The Singular Functions of Branching Edge Asymptotics / B.-W. Schulze, L. Tepoyan
  • The Heat Kernel and Green Function of the Sub-Laplacian on the Heisenberg Group / Xiaoxi Duan
  • Metaplectic Equivalence of the Hierarchical Twisted Laplacian / Shahla Molahajloo, Luigi Rodino, M. W. Wong
  • The Heat Kernel and Green Function of a Sub-Laplacian on the Hierarchical Heisenberg Group / Shahla Molahajloo, M. W. Wong
  • L p -bounds for Pseudo-differential Operators on the Torus / Julio Delgado
  • Multiplication Properties in Gelfand-Shilov Pseudo-differential Calculus / Joachim Toft
  • Operator Invariance / Leon Cohen
  • Initial Value Problems in the Time-Frequency Domain / Lorenzo Galleani
  • Polycaloric Distributions and the Generalized Heat Operator / Viorel Catană
  • Smoothing Effect and Fredholm Property for First-order Hyperbolic PDEs / I. Kmit
  • A Note on Wave-front Sets of Roumieu Type Ultradistributions / Karoline Johansson, Stevan Pilipović
  • Ordinary Differential Equations in Algebras of Generalized Functions / Evelina Erlacher, Michael Grosser
  • Asymptotically Almost Periodic Generalized Functions / Chikh Bouzar, Mohammed Taha Khalladi
  • Wave Equations and Symmetric First-order Systems in Case of Low Regularity / Clemens Hanel, Günther Hörmann
  • Concept of Delta-shock Type Solutions to Systems of Conservation Laws and the Rankine-Hugoniot Conditions / V. M. Shelkovich
  • Classes of Generalized Functions with Finite Type Regularities / Stevan Pilipović, Dimitris Scarpalézos
  • The Wave Equation with a Discontinuous Coefficient Depending on Time Only: Generalized Solutions and Propagation of Singularities / Hideo Geguchi, Günther Hörmann
  • Generalized Solutions of Abstract Stochastic Problems / I. V. Melnikova, M. A. Alshanskiy
  • Nonhomogeneous First-order Linear Malliavin Type Differential Equation / Tijana Levajković, Dora Seleši.

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