Definition:Orthonormal Functions

Definition

Let $S = \set {f_1, f_2, \ldots}$ be a set of real functions that are integrable over the closed real interval $\closedint a b$.

Let $S$ be a set of orthogonal functions which are also normal functions.

Then $S$ is a set of orthonormal functions.

Also see

• Results about orthonormal functions can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): orthogonal functions
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): orthonormal functions
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): orthogonal functions
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): orthonormal functions