Spherical Harmonics and Approximations on the Unit Sphere: An Introduction

An easily accessible introduction to the theory of spherical harmonics in an arbitrary dimension A summarizing account of classical and recent results on some aspects of function approximations by spherical polynomials and numerical integration over the unit sphere Useful for graduate students and researchers interested in solving problems over the sphere Good for a graduate level topic course on spherical harmonics and approximations over the sphere Includes supplementary material: sn.pub/extras