témavezető: Gát György
helyszín (magyar oldal): University of Debrecen helyszín rövidítés: UD IM
A kutatási téma leírása:
A Walsh function maps from [0,1] and can only take 1 or -1 as a value. The sequence of the Walsh functions forms a complete orthonormal system. The main aim of the research is to investigate the convergence and divergence properties of the Walsh-Fourier series of one and multidimensional functions. Also to investigate of various summation methods with respect to Walsh and Walsh-like systems. Especially, norm convergence and divergence with respect to various norms. It is recommended to have a look at paper http://www.emis.de/journals/AMAPN/vol14/GAT.PDF
or to have a look at the book Schipp, F.; Wade, W. R.; Simon, P., Walsh Series. An Introduction to Dyadic Harmonic Analysis. Budapest, Akadémiai Kiadó 1990. X, 560 pp.