On the norm continuity of the HK-Fourier transform

DOI10.3934/era.2018.25.005zbMath1401.26019OpenAlexW2807039980MaRDI QIDQ1994824

Juan H. Arredondo, Francisco Javier Mendoza, Alfredo Reyes

Publication date: 2 November 2018

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2018.25.005

zbMATH Keywords

Fourier transformBanach spacesintegrabilityHenstock-Kurzweil integralbounded variation function

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Other transforms and operators of Fourier type (43A32) Denjoy and Perron integrals, other special integrals (26A39) Functions of bounded variation, generalizations (26A45)

Related Items (3)

On the generalisation of Henstock-Kurzweil Fourier transform ⋮ Fourier transform inversion: bounded variation, polynomial growth, Henstock-Stieltjes integration ⋮ Interpolation theory for the HK-Fourier transform

Cites Work

• On pointwise inversion of the Fourier transform of \(\mathrm{BV}_0\) functions
• On the Alexiewicz topology of the Denjoy space
• Henstock-Kurzweil Fourier transforms
• Advanced analysis on the real line
• Integrability spaces for the Fourier transform of a function of bounded variation
• A Short Proof of a Classical Theorem in the Theory of Fourier Integrals
• Inequalities in Fourier Analysis on R ⁿ
• Kurzweil–Stieltjes Integral
• Sine, cosine and exponential integrals
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the norm continuity of the HK-Fourier transform