Existence of smooth solutions to the classical moment problems
نویسندگان
چکیده
منابع مشابه
Existence of Smooth Solutions to the Classical Moment Problems
Let s(0), s(l), ... be a given sequence, and define s(n) = s(—n) for n < 0 . If 2~Z I] íníms(m ~ n) t 0 holds for all finite sequences (in)nez . then it is known that there is a positive Borel measure p. on the circle T such that s(n) = f*n e"" dß(t), and conversely. Our main theorem provides a necessary and sufficient condition on the sequence (s(n)) that the measure p. may be chosen to be smo...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1992
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-1992-1059709-1