Continuous singular measures with absolutely continuous convolution squares

Anthony H. Dooley; Sanjiv Kumar Gupta

doi:10.1090/s0002-9939-96-03391-6

Continuous singular measures with absolutely continuous convolution squares

Anthony H. Dooley, Sanjiv Kumar Gupta

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

3 اقتباسات (Scopus)

ملخص

We prove for every non-abelian compact connected group G there is a continuous, singular, central measure μ with μ * μ in L^p for all p, 1 ≤ p ≤ ∞. We also construct such measures on some families of non-abelian compact totally disconnected groups. These results settle an open question of Ragozin.

اللغة الأصلية	English
الصفحات (من إلى)	3115-3122
عدد الصفحات	8
دورية	Proceedings of the American Mathematical Society
مستوى الصوت	124
رقم الإصدار	10
المعرِّفات الرقمية للأشياء	https://doi.org/10.1090/s0002-9939-96-03391-6
حالة النشر	Published - 1996
منشور خارجيًا	نعم

ASJC Scopus subject areas

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10.1090/s0002-9939-96-03391-6

الملفات والروابط الأخرى

قم بذكر هذا

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title = "Continuous singular measures with absolutely continuous convolution squares",

abstract = "We prove for every non-abelian compact connected group G there is a continuous, singular, central measure μ with μ * μ in Lp for all p, 1 ≤ p ≤ ∞. We also construct such measures on some families of non-abelian compact totally disconnected groups. These results settle an open question of Ragozin.",

author = "Dooley, {Anthony H.} and Gupta, {Sanjiv Kumar}",

year = "1996",

doi = "10.1090/s0002-9939-96-03391-6",

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journal = "Proceedings of the American Mathematical Society",

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T1 - Continuous singular measures with absolutely continuous convolution squares

AU - Dooley, Anthony H.

AU - Gupta, Sanjiv Kumar

PY - 1996

Y1 - 1996

N2 - We prove for every non-abelian compact connected group G there is a continuous, singular, central measure μ with μ * μ in Lp for all p, 1 ≤ p ≤ ∞. We also construct such measures on some families of non-abelian compact totally disconnected groups. These results settle an open question of Ragozin.

AB - We prove for every non-abelian compact connected group G there is a continuous, singular, central measure μ with μ * μ in Lp for all p, 1 ≤ p ≤ ∞. We also construct such measures on some families of non-abelian compact totally disconnected groups. These results settle an open question of Ragozin.

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UR - http://www.scopus.com/inward/citedby.url?scp=21444455605&partnerID=8YFLogxK

U2 - 10.1090/s0002-9939-96-03391-6

DO - 10.1090/s0002-9939-96-03391-6

M3 - Article

AN - SCOPUS:21444455605

SN - 0002-9939

VL - 124

SP - 3115

EP - 3122

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 10

ER -

Continuous singular measures with absolutely continuous convolution squares

ملخص

ASJC Scopus subject areas

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الملفات والروابط الأخرى

بصمة

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