L^1-convergence of complex double Fourier series

Simple item page
dc.creatorKaur, Kulwinder
dc.creatorBhatia, S S
dc.creatorRam, Babu
dc.date2004-06-04
dc.date.accessioned2026-07-07T05:08:52Z
dc.date.available2026-07-07T05:08:52Z
dc.descriptionIt is proved that the complex double Fourier series of an integrable function $f(x,y)$ with coefficients $\{c_{jk}\}$ satisfying certain conditions, will converge in $L^{1}$-norm. The conditions used here are the combinations of Tauberian condition of Hardy--Karamata kind and its limiting case. This paper extends the result of Bray [1] to complex double Fourier series.
dc.description9 pages, no figures, no tables
dc.identifierhttps://arxiv.org/abs/math/0406074
dc.identifierhttp://arxiv.org/abs/math/0406074
dc.identifierProc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 4, November 2003, pp. 355-363
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71432
dc.subjectFunctional Analysis
dc.subject42A20, 42A32
dc.titleL^1-convergence of complex double Fourier series
dc.typetext

Files

Collections

arXiv