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Introduction to Complex Theory of Differential Equations

This book discusses the complex theory of differential equations or more precisely, the theory of differential equations on complex-analytic manifolds. Although the theory of differential equations on real manifolds is well known – it is described in thousands of papers and its usefulness requires n...

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Bibliographic Details
Main Authors: Savin, Anton, Sternin, Boris (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2017, 2017
Edition:1st ed. 2017
Series:Frontiers in Mathematics
Subjects:
Global Analysis And Analysis On Manifolds
Geophysics
Functions Of Complex Variables
Partial Differential Equations
Several Complex Variables And Analytic Spaces
Manifolds (mathematics)
Global Analysis (mathematics)
Geophysics/geodesy
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Leray residues
  • Ramied integrals
  • Asymptotics of ramied integrals
  • Ramied Fourier transform
  • Properties of ramied Fourier transform
  • The Cauchy problem for equations with constant coefficients
  • Singularities of the solution of Cauchy problem
  • The Cauchy problem for equations with variable coefficients. Leray's uniformization
  • Balayage inwards problem
  • Mother body problem
  • Hints for exercises

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