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On a generalization of the trigonometric moment problem

✍ Scribed by Geir Nævdal

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
529 KB
Volume
258
Category
Article
ISSN
0024-3795

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✦ Synopsis

The trigonometric moment problem asks if there exists a positive finite Borel measure on the unit circle whose first n trigonometric moments take some specified values. This paper treats the case when only some of the first n trigonometric moments are specified. A solution of the problem is found when two of the moments are specified and they are real. If the moments are complex numbers, some partial results are obtained. In the case when all the n first moments except the n -lth are specified, a complete solution of the problem is presented.

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