This article is cited in 7 papers

Surface integrals in Frechet spaces

A. V. Uglanov

P. G. Demidov Yaroslavl State University

Abstract: A theory of integration over hypersurfaces in separable Frechet spaces is developed. The corresponding definitions are given and the main formulae – of iterated integration, of integration by parts, Gauss's and Green's formulae – are proved.

UDC: 517.98

MSC: Primary 46G12; Secondary 28C20, 46A04

Received: 08.01.1998

DOI: 10.4213/sm374

 English version: Sbornik: Mathematics, 1998, 189:11, 1719–1737

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