The Laplace Beltrami operator on the sphere \(\mathbb{S}^{d}_R\) is called spherical Laplacian. It is denoted by \(\Delta_{\mathbb{S}^d_R}\).

Links Link to heading

• Laplace-Beltrami

Spectral Properties Link to heading

• self-adjoint + non-negative spectrum
• eigenfunctions of \(\Delta_{\mathbb{S}^d_R}\)