Type of Document	Dissertation
Author	Li, Xiaoguang
URN	etd-10202005-102835
Title	Moment sequences and their applications
Degree	PhD
Department	Mathematics
Advisory Committee	Advisor Name Title No Advisors Found
Keywords	Moment problems - Mathematics Functionals
Date of Defense	1994-07-05
Availability	restricted
Abstract In this dissertation, we first present a unified treatment of compact moment problems, both the truncated and full moment cases. Second, we define the lower and upper functions V±(𝓍₁,... 𝓍n) on the convex hull of the curve In = {(t,.·.,tn): t 𝜖 [0,1] } for each positive integer n. Explicit formulas of these functions are derived and applied to the study of the subnormal completion problem in operator theory. Last, we show that certain power functions are the building blocks of completely positive functions; by our definition, these functions are the continuous functions on the interval [0, 1] that map each Hausdorff moment sequence of a probability measure into another one.
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