Fourier series with the continuous primitive integral

DOI10.1007/s00041-011-9183-4zbMath1246.42003arXiv1105.5620OpenAlexW1975094409MaRDI QIDQ421202

Erik O.Talvila

Publication date: 23 May 2012

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.5620

zbMATH Keywords

convolutionFourier seriesgeneralized functionSchwartz distributionHenstock-Kurzweil integralcontinuous primitive integraldistributional integral

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (3)

Fourier transform inversion in the Alexiewicz norm ⋮ On the factorization theorem for the tensor product of integrable distributions ⋮ The continuous primitive integral in the plane

Cites Work

• The regulated primitive integral
• The distributional Denjoy integral
• Convolutions with the continuous primitive integral
• Banach spaces of distributions having two module structures
• Henstock-Kurzweil Fourier transforms
• Classical Fourier Analysis
• Modern Fourier Analysis
• The second duals of Beurling algebras
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