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© 1991

Analytic Pseudo-Differential Operators and their Applications

Book

Part of the Mathematics and Its Applications Soviet Series book series (MASS, volume 68)

Table of contents

  1. Front Matter
    Pages i-xii
    PDF

  2. PD-Operators with Complex Arguments

    1. Front Matter
      Pages 1-4
      PDF
    2. PD-Operators with Constant Analytic Symbols
      Julii A. Dubinskii
      Pages 5-51
    3. Fourier Transformation of Arbitrary Analytic Functions. Complex Fourier Method
      Julii A. Dubinskii
      Pages 52-65
    4. PD-Equations whose Symbols are Formal Series
      Julii A. Dubinskii
      Pages 66-84

  3. The Cauchy Problem in the Complex Domain

    1. Front Matter
      Pages 85-89
      PDF
    2. Cauchy-Kovalevskaya Theory in Spaces of Analytic Functions with Pole-type Singularities
      Julii A. Dubinskii
      Pages 90-119
    3. Exponential theory of the Cauchy problem
      Julii A. Dubinskii
      Pages 120-156
    4. PD-Operators with Variable Analytic Symbols
      Julii A. Dubinskii
      Pages 157-173

  4. PD-Operators with Real Arguments

    1. Front Matter
      Pages 174-175
      PDF
    2. Spaces of Test Functions and Distributions
      Julii A. Dubinskii
      Pages 176-195
    3. Analytic PD-operators with Real Arguments. Applications
      Julii A. Dubinskii
      Pages 196-241
  5. Back Matter
    Pages 242-252
    PDF

About this book

Keywords

Boundary value problem Cauchy problem Sobolev space differential operator

Authors and affiliations

  1. 1.Department of Mathematical ModellingMoscow Power Engineering InstituteMoscowUSSR

Bibliographic information