This article is cited in 6 papers

Surface measures in infinite-dimensional spaces

O. V. Pugachev

M. V. Lomonosov Moscow State University

Abstract: We construct surface measures for surfaces of codimension $n\ge1$ in Banach spaces, and in a wide class of locally convex spaces. It is assumed that the determining function has a continuous derivative along a subspace.

UDC: 517

Received: 02.07.1996

DOI: 10.4213/mzm1252

 English version: Mathematical Notes, 1998, 63:1, 94–101

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