ODT - THESIS TOPIC: György Gát: Summability methods of Fourier ...


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Thesis topic proposal

Summability methods of Fourier series with respect to locally constant orthonormal systems

THESIS TOPIC PROPOSAL

Institute: University of Debrecen
mathematics and computing
Doctoral School of Mathematical and Computational Sciences

Thesis supervisor: György Gát
Location of studies (in Hungarian): University of Debrecen
Abbreviation of location of studies: UD

Description of the research topic:

The elements of the Walsh-system, the Walsh-functions can only take 1 and -1 as values. The aim of the research is to investigate generalizations of the Walsh-system, or Walsh-functions, in which the property that the set of possible function values is finite is preserved. We investigate the behavior of the Fourier-series -with respect to these generalized Walsh-systems- of integrable functions. Especially, the behavior of various summability methods guided by the beautiful and historic idea of Lipót Fejér regarding the arithmetical means of the partial sums of trigonometric Fourier series.

Number of students who can be accepted: 1

Deadline for application: 2023-01-16

2024. IV. 17.
ODT ülés
Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).