Multidimensional Integral Representations Problems of Analytic Continuation /

• Main Authors: Kytmanov, Alexander M. (Author), Myslivets, Simona G. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Subjects: Mathematics.; Functions of complex variables.; Several Complex Variables and Analytic Spaces.

The monograph is devoted to integral representations for holomorphic functions in several complex variables, such as Bochner-Martinelli, Cauchy-Fantappiè, Koppelman, multidimensional logarithmic residue etc., and their boundary properties. The applications considered are problems of analytic continu...

Table of Contents:

• Preface. 1 Multidimensional Integral Representations
• 2 Properties of the Bochner-Martinelli Integral and the Logarithmic Residue Formula
• 3 On the Multidimensional Boundary Analogue of the Morera Theorem
• 4 Functions with the One-dimensional Holomorphic Extension Property
• References
• Index.