Fourier Series and Eigenvalue Problems

The following sections are included:

• Even, Odd, and Periodic Functions

  • Even and Odd Functions

  • Periodic Functions

• Fourier Series

  • Fourier Series

  • Fourier Sine and Cosine Series

• Fourier Convergence Theorems

  • Mean-square Convergence

  • Pointwise Convergence

  • Uniform Convergence

• Derivatives of Fourier Series

• Eigenvalue Problems

  • The Sturm-Liouville Problems

  • Proofs