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Surface integrals in a Banach space

A. V. Uglanov


Abstract: Surface integrals in a Banach space are defined and their properties are investigated. The results obtained are used for solving some problems in the theory of generalized functions and differential equations on an infinite-dimensional space.
Bibliography: 6 titles.

UDC: 513.88:517.948

MSC: Primary 28A75, 58C35; Secondary 28A15, 46F25, 47A70, 35A08, 35D05, 35R15

Received: 06.12.1977

 English version: Mathematics of the USSR-Sbornik, 1981, 38:2, 175–199

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