This article is cited in 2 papers

A system of quaternionic equations in four-dimensional complex space

V. E. Balabaev

Yaroslavl State University

Abstract: The boundary properties are studied of a class of quaternionic functions containing the class of holomorphic functions of four variables. A condition is found in order for a function defined on some five- or six-dimensional part of the whole topological boundary $\partial D$ of a domain $D\subset C^4$ of a special type to have a holomorphic continuation. The results obtained are used to solve singular integral equations in $C^4$.

UDC: 517.5

Received: 30.01.1975

 English version: Mathematical Notes, 1978, 23:1, 23–26

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