摘要
本文证明了紧李群上 Fourier 级数绝对收敛的几个基本定理。
In this paper,we prove several theorems of absolute convergence of Fourier series on compact Lie groups. The absolute convergence means here,G is a compact Lie group,f(g)∈L(G),the Fourier series of f(g) is i,j=1,2,…,d_λ,A_λ(g) is the irreducible unitary representation of G with λ as its highest weight,d_λ is order of A_λ(g). Restricted on the torus with dimension one,these theorems correspond with the known theorems.
出处
《安徽大学学报（自然科学版）》
CAS
1992年第3期1-7,共7页
Journal of Anhui University(Natural Science Edition)
基金
国家自然科学基金资助
关键词
紧李群
绝对收敛
傅氏级数
compact Lie group
Fourier series
absolute convergence
