by Neil E. Cotter

Research Assistant Professor

Last Updated: 9/15/10

 

 

Function Spaces

Linear spaces (pdf)

Basis functions

Definition (pdf)

Complete sets (pdf)

Inner products (pdf)

Orthogonality (pdf)

Definition (pdf)

Definition cont. (pdf)

Orthonormal bases (pdf)

Orthogonal functions

Coefficients from inner products (pdf)

Example

†Sinusoids

Legendre Polynomials

Hermite Polynomials

†Bessel Functions

†Haar Functions

Walsh Functions

Linear transforms (pdf)

†Example 1