| 紧李群上Fourier级数的绝对收敛 |
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| 引用本文： | 郑学安. 紧李群上Fourier级数的绝对收敛[J]. 安徽大学学报(自然科学版), 1992, 16(3): 1-7 |
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| 作者姓名： | 郑学安 |
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| 作者单位： | 安徽大学数学系 |
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| 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。
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| 关 键 词： | 紧李群 Foufier 级数 绝对收敛 |
Absolute Convergence of Fourier Series on Compact Lie Groups |
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| Zheng Xue''''an. Absolute Convergence of Fourier Series on Compact Lie Groups[J]. Journal of Anhui University(Natural Sciences), 1992, 16(3): 1-7 |
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| Authors: | Zheng Xue''''an |
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| Affiliation: | Department of Mathematics |
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| Abstract: | 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. |
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| Keywords: | compact Lie group Fourier series absolute convergence |
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