Fourier Analysis

Introduction.

1. Fourier Coefficients and Fourier Series.

2. Fourier Series and Boundary Value Problems.

3. L² Spaces: Optimal Contexts for Fourier Series.

4. Sturm-Liouville Problems.

5. A Splat and a Spike.

6. Fourier Transforms and Fourier Integrals.

7. Special Topics and Applications.

8. Local Frequency Analysis and Wavelets.

Appendix.

References.

Index.