moment problem in a sentence

Examples

1. The Stieltjes moment problem, Vorobyev moment problem, and the Hausdorff moment problem are similar but replace the real line by [ 0, + \ infty ) ( Stieltjes and Vorobyev; but Vorobyev formulates the problem in the terms of matrix theory ), or a bounded interval ( Hausdorff ).
2. The Stieltjes moment problem, Vorobyev moment problem, and the Hausdorff moment problem are similar but replace the real line by [ 0, + \ infty ) ( Stieltjes and Vorobyev; but Vorobyev formulates the problem in the terms of matrix theory ), or a bounded interval ( Hausdorff ).
3. The Stieltjes moment problem, Vorobyev moment problem, and the Hausdorff moment problem are similar but replace the real line by [ 0, + \ infty ) ( Stieltjes and Vorobyev; but Vorobyev formulates the problem in the terms of matrix theory ), or a bounded interval ( Hausdorff ).
4. The essential difference between this and other well-known moment problems is that this is on a bounded interval, whereas in the Stieltjes moment problem one considers a half-line [ 0,  " ), and in the Hamburger moment problem one considers the whole line (  "  ",  " ).
5. The essential difference between this and other well-known moment problems is that this is on a bounded interval, whereas in the Stieltjes moment problem one considers a half-line [ 0,  " ), and in the Hamburger moment problem one considers the whole line (  "  ",  " ).
6. The essential difference between this and other well-known moment problems is that this is on a bounded interval, whereas in the Stieltjes moment problem one considers a half-line [ 0,  " ), and in the Hamburger moment problem one considers the whole line (  "  ",  " ).
7. The essential difference between this and other well-known moment problems is that this is on a half-line [ 0, & infin; ), whereas in the Hausdorff moment problem one considers a bounded interval [ 0, 1 ], and in the Hamburger moment problem one considers the whole line ( & minus; & infin;, & infin; ).
8. The essential difference between this and other well-known moment problems is that this is on a half-line [ 0, & infin; ), whereas in the Hausdorff moment problem one considers a bounded interval [ 0, 1 ], and in the Hamburger moment problem one considers the whole line ( & minus; & infin;, & infin; ).
9. The essential difference between this and other well-known moment problems is that this is on a half-line [ 0, & infin; ), whereas in the Hausdorff moment problem one considers a bounded interval [ 0, 1 ], and in the Hamburger moment problem one considers the whole line ( & minus; & infin;, & infin; ).
10. There are three named classical moment problems : the Hamburger moment problem in which the support of & mu; is allowed to be the whole real line; the Stieltjes moment problem, for [ 0, + & infin; ); and the Hausdorff moment problem for a bounded interval, which without loss of generality may be taken as [ 0, 1 ].