THE object of this work is to provide a text-book on the elements of the theory of spherical harmonics with applications to mathematical physics so far as this can be done without employing contour ...

THE need for a treatise on harmonic analysis, more particularly on spherical harmonics, has been recognised for a long time by mathematicians who teach the subject or who find it necessary to use ...

Scientists are beginning to read Earth in a different way, not from orbit, but from the surface of the moon. A recent study,“Spherical Harmonic Finger.

Abstract In this short note, we build upon recent results from our earlier paper to present a precise expression for the asymptotic variance of the Euler-Poincaré characteristic for the excursion sets ...

This is a preview. Log in through your library . Publisher Information The Royal Society is a self-governing Fellowship of many of the world's most distinguished scientists drawn from all areas of ...