témavezető: Gát György
helyszín (magyar oldal): University of Debrecen helyszín rövidítés: UD
A kutatási téma leírása:
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.