The Bochner-Martinelli Integral and Its Applications

The Bochner-Martinelli integral representation for holomorphic functions or'sev­ eral complex variables (which has already become classical) appeared in the works of Martinelli and Bochner at the beginning of the 1940's. It was the first essen­ tially multidimensional representation in whi...

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Bibliographic Details
Main Author: Kytmanov, Alexander M.
Format: eBook
Language:English
Published: Basel Birkhäuser 1995, 1995
Edition:1st ed. 1995
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 The Bochner-Martinelli Integral
  • 1 The Bochner-Martinelli integral representation
  • 2 Boundary behavior
  • 3 Jump theorems
  • 4 Boundary behavior of derivatives
  • 5 The Bochner-Martinelli integral in the ball
  • 2 CR-Functions Given on a Hypersurface
  • 6 Analytic representation of CR-functions
  • 7 The Hartogs-Bochner extension theorem
  • 8 Holomorphic extension from a part of the boundary
  • 9 Removable singularities of CR-functions
  • 10 Analogue of Riemann’s theorem for CR-functions
  • 3 Distributions Given on a Hypersurface
  • 11 Harmonic representation of distributions
  • 12 Multiplication of distributions
  • 13 The generalized Fourier transform
  • 4 The