Title: On $L^1(T^1)$ - Convergence of Fourier Series with BV - Class Coefficients
Abstract: In general the Banach space doesn't admit convergence in norm. Thus the convergence in norm of the partial sums can not be characterized in terms of Fourier coefficients without additional assumptions about the sequence. The problem of -convergence consists of finding the properties of Fourier coefficients such that the necessary and sufficient condition for (1.2) and (1.3). This paper showed that let and . Then (1.1) is a Fourier series if and only if .
Publication Year: 2008
Publication Date: 2008-01-01
Language: en
Type: article
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