On Domains of Convergence of Multidimensional Lacunary Series
نویسندگان
چکیده
منابع مشابه
On Lacunary Trigonometric Series.
1. Fundamental theorem. In a recent paper f I have proved the theorem that if a lacunary trigonometric series CO (1) X(a* cos nk6 + bk sin nk9) (nk+x/nk > q > 1, 0 ^ 0 ^ 2ir) 4-1 has its partial sums uniformly bounded on a set of 0 of positive measure, then the series (2) ¿(a*2 + bk2) k-l converges. The proof was based on the following lemma (which was not stated explicitly but is contained in ...
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ژورنال
عنوان ژورنال: Journal of Siberian Federal University. Mathematics & Physics
سال: 2019
ISSN: 2313-6022,1997-1397
DOI: 10.17516/1997-1397-2019-12-6-736-746