An investigation concerning the absolute convergence of Fourier series
Independent thesis Basic level (degree of Bachelor), 10,5 credits / 16 HE creditsStudent thesis
In this Bachelor's thesis we present a few results about the absolute convergence of Fourier series, followed by an example of a differentiable function whose Fourier series does not converge absolutely. In the end we provide a suggestion for future work on generalizing the given example, and we briefly discuss an issue that has not been given much attention in the existing literature on the subject.
Place, publisher, year, edition, pages
2016. , 29 p.
, LiTH-MAT-EX, 2016/03
Fourier analysis, Absolute convergence, Lipschitz condition, Bernstein's theorem
IdentifiersURN: urn:nbn:se:liu:diva-129363ISRN: LiTH-MAT-EX--2016/03--SEOAI: oai:DiVA.org:liu-129363DiVA: diva2:938514
Subject / course