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The symmetric strong moment problem

✍ Scribed by A.K. Common; J.H. McCabe


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
562 KB
Volume
67
Category
Article
ISSN
0377-0427

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The strong Hamburger moment problem for a bi-infinite sequence c : n s 0, " n 4 Ε½ . 1, " 2, . . . can be described as follows: 1 Find conditions for the existence of a Ε½ . Ε½ . Ο± n Ε½ . Ε½ . positive measure on yΟ±, Ο± such that c s H t d t for all n. 2 When n yΟ± Ε½ . there is a solution, find conditions

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The symmetric moment problem is to find a possibly unique, positive symmetric measure that will produce a given sequence of moments {M n }. Let us assume that the (Hankel) condition for existence of a solution is satisfied, and let Οƒ n be the unique measure, supported on n points, whose first 2n mom