Uniqueness for multiple trigonometric and Walsh series with convergent rearranged square partial sums

Autor:	S. T. Tetunashvili, J. M. Ash
Rok vydání:	2005
Předmět:	Combinatorics Power series Alternating series Series (mathematics) Applied Mathematics General Mathematics Function series Mathematics::Classical Analysis and ODEs Radius of convergence General Dirichlet series Convergent series Mathematics Trigonometric series
Zdroj:	Proceedings of the American Mathematical Society. 134:1681-1686
ISSN:	1088-6826 0002-9939
DOI:	10.1090/s0002-9939-05-08225-0
Popis:	If at each point of a set of positive Lebesgue measure every rearrangement of a multiple trigonometric series square converges to a finite value, then that series is the Fourier series of a function to which it converges uniformly. If there is at least one point at which every rearrangement of a multiple Walsh series square converges to a finite value, then that series is the Walsh-Fourier series of a function to which it converges uniformly.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8884b28668fc4d9b1029fb0976db0449 https://doi.org/10.1090/s0002-9939-05-08225-0 Zobrazit plný text záznamu