THE NEWTON-LEIBNIZ FORMULA ON BANACH SPACES AND APPROXIMATION OF FUNCTIONS OF AN INFINITE-DIMENSIONAL ARGUMENT

DOI10.1070/IM1988v030n01ABEH000999zbMath0637.46041OpenAlexW2080771331WikidataQ122932776 ScholiaQ122932776MaRDI QIDQ3778501

A. V. Uglanov

Publication date: 1988

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1988v030n01abeh000999

zbMATH Keywords

differentiable Urysohn functiondifferential and integral calculus on one-parameter sets of surfaces are generalized to infinite dimensional Banach spacesNewton-Leibniz formula on Banach spaces

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Distributions on infinite-dimensional spaces (46F25) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Related Items (2)

Gaussian measures on linear spaces ⋮ Differentiable measures and the Malliavin calculus

This page was built for publication: THE NEWTON-LEIBNIZ FORMULA ON BANACH SPACES AND APPROXIMATION OF FUNCTIONS OF AN INFINITE-DIMENSIONAL ARGUMENT