The Fourier transform from \(\mathcal{F}\colon L^1(\mathbb{R}^d)\to C_0(\mathbb{R}^d)\) is a bounded operator satisfying \(\lVert \mathcal{F}\rVert\le (2\pi)^{-d/2}\).
The Fourier transform from \(\mathcal{F}\colon L^1(\mathbb{R}^d)\to C_0(\mathbb{R}^d)\) is a bounded operator satisfying \(\lVert \mathcal{F}\rVert\le (2\pi)^{-d/2}\).