目次

1. Introduction.- 2. Metric Spaces.- 3. The Lebesgue Integral and Lp Spaces.- 4. Continuous Linear Operators and Functionals.- 5.  Distributions, Sobolev Spaces.- 6. Hilbert Spaces.- 7. Adjoint, Symmetric and Self-adjoint Linear Operators.- 8. Eigenvalues and Eigenvectors.-  9. Semigroups of Linear Operators.- 10. Solving Linear Evolution Equations by the Fourier Method.- 11. Integral Equations.- 12. Answers to Exercises.- Bibliography.