## Abstract We consider the problem of finding __u__ β __L__ ^2^(__I__ ), __I__ = (0, 1), satisfying β«~__I__~ __u__ (__x__ )__x__ d__x__ = __ΞΌ__ ~__k__~ , where __k__ = 0, 1, 2, β¦, (__Ξ±__ ~__k__~ ) is a sequence of distinct real numbers greater than β1/2, and **__ΞΌ__** = (__ΞΌ__ ~__kl__~ ) is a g
Solution of the Hausdorff moment problem by the use of Pollaczek polynomials
β Scribed by G.A Viano
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 648 KB
- Volume
- 156
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
By using the theory of the principal function of a hyponormal operator with rank-one self-commutator, one classifies some extremal points of the solutions of the truncated L-problem of moments in two real variables. These extremal elements, called degenerated solutions of the L-problem, are proved t