Book Volume 244 1993

Carleman’s Formulas in Complex Analysis

Theory and Applications


ISBN: 978-94-010-4695-4 (Print) 978-94-011-1596-4 (Online)

Table of contents (11 chapters)

  1. Front Matter

    Pages i-xx

  2. Carleman Formulas in the Theory of Functions of One Complex Variable and their Generalizations

    1. Chapter

      Pages 1-17

      One-Dimensional Carleman Formulas

    2. Chapter

      Pages 18-32

      Generalization of One-Dimensional Carleman Formulas

  3. Carleman Formulas in Multidimensional Complex Analysis

    1. Chapter

      Pages 33-81

      Integral Representations of Holomorphic Functions of Several Complex Variables and Logarithmic Residues

    2. Chapter

      Pages 82-100

      Multidimensional Analogs of Carleman Formulas with Integration over Boundary Sets of Maximal Dimension

    3. Chapter

      Pages 101-128

      Multidimensional Carleman Formulas for Sets of Smaller Dimension

    4. Chapter

      Pages 129-142

      Carleman Formulas in Homogeneous Domains

  4. First Applications

    1. Chapter

      Pages 143-162

      Applications in Complex Analysis

    2. Chapter

      Pages 163-191

      Applications in Physics and Signal Processing

    3. Chapter

      Pages 192-203

      Computing Experiment

  5. Supplement to the English Edition

    1. Chapter

      Pages 204-251

      Criteria for Analytic Continuation. Harmonic Extension

    2. Chapter

      Pages 252-275

      Carleman Formulas and Related Problems

  6. Back Matter

    Pages 276-299