Divergent Fourier series with respect to orthonormalized systems of smooth functions |
| |
Authors: | N. T. Anisimova |
| |
Affiliation: | (1) Moscow Institute of Electronic Machine Construction, USSR |
| |
Abstract: | In this paper it is proved that for any functionf L2 [–; ], f>0, there exists a complete orthonormalized system of uniformly bounded trigonometric polynomials with respect to which the Fourier series of this function is divergent almost everywhere in the interval [–; ].Translated from Matematicheskie Zametki, Vol. 20, No. 1, pp. 69–78, July, 1976.The authoress expresses her gratitude to A. M. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|