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Pseudo-Differential Operators, Generalized Functions and Asymptotics

  • Shahla Molahajloo
  • Stevan Pilipović
  • Joachim Toft
  • M. W. Wong

Part of the Operator Theory: Advances and Applications book series (OT, volume 231)

Table of contents

  1. Front Matter
    Pages i-viii
  2. B.-W. Schulze, L. Tepoyan
    Pages 27-53
  3. Shahla Molahajloo, Luigi Rodino, M. W. Wong
    Pages 77-84
  4. Leon Cohen
    Pages 173-187
  5. Karoline Johansson, Stevan Pilipović, Nenad Teofanov, Joachim Toft
    Pages 239-252
  6. Evelina Erlacher, Michael Grosser
    Pages 253-270
  7. Chikh Bouzar, Mohammed Taha Khalladi
    Pages 271-282
  8. Clemens Hanel, Günther Hörmann, Christian Spreitzer, Roland Steinbauer
    Pages 283-296
  9. Stevan Pilipović, Dimitris Scarpalézos, Jasson Vindas
    Pages 307-322
  10. I. V. Melnikova, M. A. Alshanskiy
    Pages 341-352
  11. Tijana Levajković, Dora Seleši
    Pages 353-369

About these proceedings

Introduction

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.

Keywords

electrical and computer engineering geometry harmonic analysis partial differential equations quantum field theory quantum mechanics

Editors and affiliations

  • Shahla Molahajloo
    • 1
  • Stevan Pilipović
    • 2
  • Joachim Toft
    • 3
  • M. W. Wong
    • 4
  1. 1., Department of Mathematics and StatisticsQueen's UniversityKingstonCanada
  2. 2., Dept. of Mathematics & InformaticsUniversity of Novi SadNovi SadSerbia
  3. 3.Dept. of Computer Science, Physics, and MathematicsLinnæus UniversityVäxjöSweden
  4. 4.Department of Mathematics & StatisticsYork UniversityTorontoCanada

Bibliographic information