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Leray residues

  • Anton Savin
  • Boris Sternin
Chapter
  • 902 Downloads
Part of the Frontiers in Mathematics book series (FM)

Abstract

Residues of differential forms depending on several variables were first considered by Poincaré (1887). Later, such residues appeared in the works of Picard (1901), de Rham (1932—1936), and others. In this chapter we explain the theory of residues constructed by Leray (1959).

Keywords

Cohomology Class Homology Class Tubular Neighborhood Homology Theory Holomorphic Form 
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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Anton Savin
    • 1
    • 2
  • Boris Sternin
    • 1
    • 2
  1. 1.Department of Applied MathematicsRUDN UniversityMoscowRussia
  2. 2.Institut für AnalysisLeibniz Universität HannoverHannoverGermany

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