NORMS OF CHARACTERS AND LACUNARITY FOR COMPACT LIE GROUPS

被引：16

作者：

DOOLEY, AH

机构：

[1] Department of Mathematics, Institute of Advanced Studies, Australian National University, Canberra

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1979年 / 32卷 / 02期

关键词：

D O I：

10.1016/0022-1236(79)90057-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article gives upper and lower estimates for the p-norms of irreducible characters of compact Lie groups in terms of their dimension. These estimates are applied to give some new results on lacunary sets. © 1979.

引用

页码：254 / 267

页数：14

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[Anonymous], 1973, Harmonic Analysis on Homogeneous Spaces

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[4]

Dooley A. H., 1978, Journal of the Australian Mathematical Society, Series A (Pure Mathematics), V25, P167

[5]

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[6]

Humphreys J., 1972, INTRO LIE ALGEBRAS R, DOI 10.1007/978-1-4612-6398-2

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[8] LOCAL CENTRAL LACUNARY SETS FOR COMPACT LIE GROUPS [J].

PRICE, JF .

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[9]

RIDER D, 1972, NORMS CHARACTERS CEN

[10]

STANTON RJ, 1979, AM J MATH, V100, P477

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