Show that \(\delta ( \alpha x ) = \frac { 1 } { \alpha } \delta ( x )\) , and more generally, \(\delta ( f ( x ) ) = \sum _ { i } { \frac { \delta ( x - x _ { i } ) } { | f ^ { \prime } ( x _ { i } ) | } }\) where \(x _ { i }\) are the root of f , i.e. \(f ( x _ { i } ) = 0\)
Composition of the Dirac delta with a function
P-TRIV-DE33
- Area
- Prelim
- Status
- draft