Convolutions with the continuous primitive integral

DOI10.1155/2009/307404zbMath1192.46039arXiv0909.4336OpenAlexW2154863098WikidataQ58646572 ScholiaQ58646572MaRDI QIDQ1035055

Erik O.Talvila

Publication date: 10 November 2009

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4336

zbMATH Keywords

convolutionintegrable distributionsAlexiewicz norm

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Operations with distributions and generalized functions (46F10) Vector-valued set functions, measures and integrals (28B05) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (7)

Integrals and Banach spaces for finite order distributions ⋮ Fourier series with the continuous primitive integral ⋮ On first-order periodic boundary value problems and distributional Henstock-Kurzweil integrals ⋮ On the factorization theorem for the tensor product of integrable distributions ⋮ Riemann-Liouville derivative over the space of integrable distributions ⋮ The continuous primitive integral in the plane ⋮ Interpolation theory for the HK-Fourier transform

Cites Work

• The regulated primitive integral
• The distributional Denjoy integral
• A multidimensional analogue of the Denjoy-Perron-Henstock-Kurzweil integral
• Henstock-Kurzweil Fourier transforms
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