원문정보
On L1(T1) − Convergence of Fourier Series with BV − Class Coefficients
피인용수 : 0건 (자료제공 : 네이버학술정보)
초록
영어
In general the Banach space L1(T1) 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 L1(T1)-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 {ak}∈BV and ξΔaξ = o(1), ξ→∞. Then (1.1) is a Fourier series if and only if {ak}∈Γ.
목차
Abstract
1. Preliminaries
2. Some Results of L1(T1) -Convergence Classes
3. The Main Theorem
References
1. Preliminaries
2. Some Results of L1(T1) -Convergence Classes
3. The Main Theorem
References
저자정보
참고문헌
자료제공 : 네이버학술정보