SKEDSOFT

Maths For Engineers - 2

Parsevals Identities:

By the Convolution Theorem for,

Replacing g (x) by g ( -x), The Fourier transform g^ (ξ) is replaced by g^ (ξ). hence

This is Plancgerels's identity. We f = g we obtain Parsevals's identity,

Examples:

1. Let f (x) =

2.