Uniqueness sets for Fourier series
نویسندگان
چکیده
منابع مشابه
Sets of Uniqueness for Spherically Convergent Multiple Trigonometric Series
A subset E of the d-dimensional torus Td is called a set of uniqueness, or U -set, if every multiple trigonometric series spherically converging to 0 outside E vanishes identically. We show that all countable sets are U -sets and also that HJ sets are U -sets for every J . In particular, C × Td−1, where C is the Cantor set, is an H1 set and hence a U -set. We will say that E is a UA-set if ever...
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ژورنال
عنوان ژورنال: Journal of Classical Analysis
سال: 2016
ISSN: 1848-5987
DOI: 10.7153/jca-08-08