A boundary analogue of morera's theorem in the unit ball of Cn

Eric L. Grinberg

doi:10.1090/S0002-9939-1988-0915726-5

A boundary analogue of morera's theorem in the unit ball of Cⁿ

Eric L. Grinberg

Mathematics

University of Michigan, Ann Arbor

Research output: Contribution to journal › Article › peer-review

Abstract

We show that the boundary values of holomorphic functions in the unit ball of Cn (n > 1) are characterized by the vanishing of their contour integrals over certain closed curves.

Original language	English
Pages (from-to)	114-116
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	102
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1988-0915726-5
State	Published - Jan 1988

ASJC Scopus Subject Areas

General Mathematics
Applied Mathematics

Keywords

Boundary values
Holomorphic functions
Morera's theorem

Access to Document

10.1090/S0002-9939-1988-0915726-5

Cite this

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