Jacobi Matrices and the Moment Problem

- 1. Introduction. - 2. Some Aspects of the Spectral Theory of Unbounded Operators. - 3. Jacobi Matrices and the Classical Moment Problem. - 4. The Strong Moment Problem. - 5. Block Jacobi Type Matrices in the Complex Moment Problem. - 6. Unitary Block Jacobi Type Matrices and the Trigonometric Moment Problem. - 7. Block Jacobi Type Matrices and the Complex Moment Problem in the Exponential Form. - 8. Block Jacobi Type Matrices and the Two Dimensional Real Moment Problem. - 9. Applications of the Spectral Theory of Jacobi Matrices and Their Generalizations to the Integration of Nonlinear Equations.