ملخص
A well-known result of Zygmund states that if ([formula ommitted]) on the circle group T and £ is a Hadamard set of integers, then ([formula ommitted]) In this paper we investigate similar results for the classes ([formula ommitted]) on an arbitrary infinite compact abelian group G and Sidon subsets E of the dual T. These results are obtained as special cases of more general results concerning a new class of lacunary sets([formula ommitted]) where a subset E of ([formula ommitted]). We also prove partial results on the distinctness of the ([formula ommitted]) sets in the index p.
اللغة الأصلية | English |
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الصفحات (من إلى) | 387-403 |
عدد الصفحات | 17 |
دورية | Journal of the Australian Mathematical Society |
مستوى الصوت | 58 |
رقم الإصدار | 3 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | Published - يونيو 1995 |
ASJC Scopus subject areas
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