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On the Properties of Wiener-Lévy Functions
Linnaeus University, Faculty of Technology, Department of Mathematics.
2019 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

This thesis concerns the Wiener algebra of periodic functions with absolutely convergent Fourier series, and the "Wiener-Lévy functions", meaning functions that preserve absolute convergence of Fourier series under composition. Results regarding the properties of functions in the Wiener algebra are established, as well as properties of Wiener-Lévy functions. By the Wiener-Lévy Theorem, analyticity is a sufficient condition for a function to be a Wiener-Lévy function, and in this paper, we find the necessary condition of being real analytic in the real and imaginary variable, separately.

Place, publisher, year, edition, pages
2019. , p. 26
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:lnu:diva-84606OAI: oai:DiVA.org:lnu-84606DiVA, id: diva2:1323350
Subject / course
Mathematics
Educational program
Applied Mahtematics Programme, 180 credits
Supervisors
Examiners
Available from: 2019-06-12 Created: 2019-06-12 Last updated: 2019-06-12Bibliographically approved

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fulltext(440 kB)25 downloads
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