Integrals and Banach spaces for finite order distributions

DOI10.1007/S10587-012-0018-5zbMath1249.26012arXiv1110.3715OpenAlexW2089736285MaRDI QIDQ2897346

Erik O.Talvila

Publication date: 10 July 2012

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.3715

zbMATH Keywords

Banach latticeHenstock-Kurzweil integralregulated functioncontinuous primitive integraldistributional Denjoy integralregulated primitive integral

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Banach lattices (46B42) Measures and integration on abstract linear spaces (46G12) Banach spaces of continuous, differentiable or analytic functions (46E15) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (2)

Measure neutral functional differential equations as generalized ODEs ⋮ The continuous primitive integral in the plane

Cites Work

• Characterizations of an indefinite Riemann integral
• The regulated primitive integral
• The distributional Denjoy integral
• Convolutions with the continuous primitive integral
• Advanced analysis on the real line
• Harmonic Function Theory
• Integrals of distributions
• A Course in Commutative Banach Algebras
• Linear functionals on Denjoy-integrable functions
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