Singular measures with absolutely continuous convolution squares on locally compact groups

被引：2

作者：

Bisbas, A ^{[1
]}

机构：

[1] Univ Aegean, Dept Math, Karlovasi 83200, Greece

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 10期

关键词：

singular measures; Rademacher functions;

D O I：

10.1090/S0002-9939-99-04827-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Saeki's result states that on any locally compact nondiscrete group there exist continuous singular measures, with respect to the left Haar measure, mu with mu * mu in L-p for all p, 1 less than or equal to p < infinity. This paper gives a new and short proof of this using Rademacher-Riesz products.

引用

页码：2865 / 2869

页数：5

共 50 条

[41] FACTORIZATION OF PROBABILITY MEASURES ON LOCALLY COMPACT GROUPS
HEYER, HK
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (05): : 1419 - &
[42] Continuous measures on compact Lie groups
Anoussis, M
Bisbas, A
[J]. ANNALES DE L INSTITUT FOURIER, 2000, 50 (04) : 1277 - +
[43] LOCALLY COMPACT SEMIGROUPS AND CONTINUOUS TRANSLATIONS OF MEASURES
SLEIJPEN, GLG
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1978, 37 (JUL) : 75 - 97
[44] CONVOLUTION POWERS OF PROBABILITY-MEASURES ON LOCALLY COMPACT SEMIGROUPS
KINZL, F
[J]. LECTURE NOTES IN MATHEMATICS, 1982, 928 : 247 - 257
[45] CONTINUOUS AUTOMORPHISM-GROUPS ON A LOCALLY COMPACT GROUP CONTRACTING MODULO A COMPACT SUBGROUP AND APPLICATIONS TO STABLE CONVOLUTION SEMIGROUPS
HAZOD, W
SIEBERT, E
[J]. SEMIGROUP FORUM, 1986, 33 (01) : 111 - 143
[46] ABSOLUTELY CONTINUOUS CONVOLUTIONS OF SINGULAR MEASURES AND AN APPLICATION TO THE SQUARE FIBONACCI HAMILTONIAN
Damanik, David
Gorodetski, Anton
Solomyak, Boris
[J]. DUKE MATHEMATICAL JOURNAL, 2015, 164 (08) : 1603 - 1640
[47] Singular limits of absolutely continuous invariant measures for families of transitive maps
Eslami, Peyman
Misiurewicz, Michal
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2012, 18 (04) : 739 - 750
[48] On the halo conjecture and maximal convolution operators for locally compact groups
G. Oniani
[J]. Acta Mathematica Hungarica, 2021, 165 : 450 - 462
[49] CONVOLUTION OPERATORS ON LP(G) AND PROPERTIES OF LOCALLY COMPACT GROUPS
GILBERT, JE
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1968, 24 (02) : 257 - &
[50] ON THE HALO CONJECTURE AND MAXIMAL CONVOLUTION OPERATORS FOR LOCALLY COMPACT GROUPS
Oniani, G.
[J]. ACTA MATHEMATICA HUNGARICA, 2021, 165 (02) : 450 - 462

← 1 2 3 4 5 →