On Herz's projection theorem

被引：3

作者：

Derighetti, A ^{[1
]}

机构：

[1] Ecole Polytech Fed Lausanne, Sect Math, CH-1015 Lausanne, Switzerland

[2] Univ Lausanne, Inst Math, Fac Sci, CH-1015 Lausanne, Switzerland

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2004年 / 48卷 / 02期

关键词：

D O I：

10.1215/ijm/1258138392

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a locally compact group and H a discrete amenable subgroup. We prove the existence of a contractive projection Q of CVp(G) onto CVp(H) such that supp Q(T) C suppT.

引用

页码：463 / 476

页数：14

共 8 条

[1] Invariant projections and convolution operators [J].

Delaporte, J ;

Derighetti, A .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (05) :1427-1435

[2] COVERING PROPERTIES AND FOLNER CONDITIONS FOR LOCALLY COMPACT GROUPS [J].

EMERSON, WR ;

GREENLEA.FP .

MATHEMATISCHE ZEITSCHRIFT, 1967, 102 (05) :370-&

[3]

GRANIRER EE, 1987, C MATH, V52, P119

[4]

HERZ C, 1970, C R ACAD SCI PARIS A, V271, pA316

[5] Spectral synthesis for A(G) and subspaces of VN(G) [J].

Kaniuth, E ;

Lau, AT .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (11) :3253-3263

[6]

LOSERT V, 1984, LECT NOTES MATH, V1064, P368

[7]

PIER JP, 1984, PURE APPL MATH, DOI UNSP MR86A43001

[8] CONTRIBUTIONS TO HARMONIC ANALYSIS [J].

REITER, H .

ACTA MATHEMATICA, 1956, 96 (3-4) :253-263

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