Orthogonal Rational Functions

List of symbols Introduction 1. Preliminaries 2. The fundamental spaces 3. The kernel functions 4. Recurrence and second kind functions 5. Para-orthogonality and quadrature 6. Interpolation 7. Density of the rational functions 8. Favard theorems 9. Convergence 10. Moment problems 11. The boundary case 12. Some applications Conclusion Bibliography Index.