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 ...
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 ...
IN a recent paper, entitled “Notes on Spherical Harmonics” (Proceedings of the Edinburgh Mathematical Society, vol. xxxii., 1914), Dr. John Dougall wrongly claims as new the expansion which he has ...