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Analytic Pseudo-Differential Operators and their Applications

  • Book
  • © 1991

Overview

Authors:
  1. Julii A. Dubinskii

    1. Department of Mathematical Modelling, Moscow Power Engineering Institute, Moscow, USSR

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Part of the book series: Mathematics and its Applications (MASS, volume 68)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xii
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  2. PD-Operators with Complex Arguments

    1. Front Matter

      Pages 1-4
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    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
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    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
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    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
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Keywords

Authors and Affiliations

  • Department of Mathematical Modelling, Moscow Power Engineering Institute, Moscow, USSR

    Julii A. Dubinskii

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