We derive analytic covariance matrices for the $N$-Point Correlation Functions (NPCFs) of galaxies in Gaussian limit. Our results are given arbitrary $N$ and projected onto isotropic basis functions Cahn & Slepian (2020), recently shown to facilitate efficient NPCF estimation. A numerical implementation 4PCF is compared sample obtained from a set lognormal simulations, Quijote dark matter halo ...

This paper begins with a review of some classical work of Landau, Slepian, Pollak and Widom concerning essentially timeand bandlimited signals and ends reviewing some recent work of Candès, Romberg and Tao that places specific but probabilistic limitations on essential timeand bandlimiting for finite signals and their discrete Fourier transforms. In between we outline some conceptual bridges fr...