Title :
On the Fejér Kernel with Respect to Generalized Orthonormal System of p-series Field in the Kaczmarz Rearrangement
Author :
Zhang, Chuanzhou ; Zhang, Xueying
Author_Institution :
Coll. of Sci., Wuhan Univ. of Sci. & Technol., Wuhan, China
Abstract :
Let Gp be the p-series field. In this paper we give the expansion of Fejer kernel with respect to the generalized orthonormal system of p-series field in the Kaczmarz rearrangement.As a consequence, we prove the Fejer kernel functions are uniformly integrable.
Keywords :
Fourier series; Walsh functions; convergence; Fejer kernel; Kaczmarz rearrangement; convergence; fourier series; generalized orthonormal system; p-series field; walsh system; Convergence; Educational institutions; Fourier series; Kernel; Signal processing; Topology; Kaczmarz rearrangement; generalized Rademacher function; orthonormal system;
Conference_Titel :
2009 International Conference on Signal Processing Systems
Conference_Location :
Singapore
Print_ISBN :
978-0-7695-3654-5
DOI :
10.1109/ICSPS.2009.170
