The regulated primitive integral

zbMath1207.26018arXiv0911.2931MaRDI QIDQ610647

Erik O.Talvila

Publication date: 8 December 2010

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.2931

zbMATH Keywords

Schwartz distributionconvergence theoremregulated functionBanach space, Banach latticethe regulated primary integral

Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12) Banach spaces of continuous, differentiable or analytic functions (46E15) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (10)

Integrals and Banach spaces for finite order distributions ⋮ On the substitution rule for Lebesgue-Stieltjes integrals ⋮ Fourier series with the continuous primitive integral ⋮ On the solvability of distributional and impulsive systems of Cauchy problems ⋮ On nonlinear distributional and impulsive Cauchy problems ⋮ A generalization of multiple Wright-convex functions via randomization ⋮ On strong C-integral of Banach-valued functions defined on R^m ⋮ The fuzzy C-delta integral on time scales ⋮ Convolutions with the continuous primitive integral ⋮ The continuous primitive integral in the plane

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