# $L_{2}$ Function

Definition 1:

`L^2`

functionsA complex valued function $f$ is in the class $L_{2}([a,b]])$ if $∫_{a}∣f(x)∣_{2}dx$ exists and is finite.

$f$ is in the class $L_{2}$ if $∫_{−∞}∣f(x)∣_{2}dx$ exists and is finite.

Definition 1:

`L^2`

functionsA complex valued function $f$ is in the class $L_{2}([a,b]])$ if $∫_{a}∣f(x)∣_{2}dx$ exists and is finite.

$f$ is in the class $L_{2}$ if $∫_{−∞}∣f(x)∣_{2}dx$ exists and is finite.