ACTA issues

A generalized $n$-dimensional Riemann integral and the Divergence Theorem with singularities

W. B. Jurkat, D. J. F. Nonnenmacher

Acta Sci. Math. (Szeged) 59:1-2(1994), 241-256

Abstract. Applying a recently developed axiomatic theory of non-absolutely convergent integrals we define a relatively simple and well-behaved integral over $n$-dimensional compact intervals for which the divergence theorem holds in its presently most general form.

AMS Subject Classification (1991): 26A39, 26B20

Received April 23, 1993. (Registered under 5585/2009.)