Theorem 12.4.11 (Plancherel).label The Fourier Transform extends uniquely to a unitary isomorphism of $L^{2}$ onto itself, i.e. for $f\in L^{2}$
\begin{align*}(\norm{f}{2})^{2}=(\norm{\ha{f}}{2})^{2}\end{align*}
Theorem 12.4.11 (Plancherel).label The Fourier Transform extends uniquely to a unitary isomorphism of $L^{2}$ onto itself, i.e. for $f\in L^{2}$
Post a Comment