Department of Physics and Mathematics, Princeton University, Jadwin Hall, P.O. Box 708, Princeton, New Jersey 08544–0708, USA Work supported in part by NSF Grant PHY-9214654.

Department of Mathematics, Sproul Hall, University of California, Riverside, CA 92521–0135, USA Research partially supported by a grant from the National Science Foundation under contract DMS-9207098 ...

Abstract: In this paper, polar and spherical Fourier analysis are defined as the decomposition of a function in terms of eigenfunctions of the Laplacian with the eigenfunctions being separable in the ...

Abstract: The eigenfunctions and eigenvalues of a certain integral equation are of importance in the Karhunen-Loéve expansion of second-order stationary random functions. In this note the asymptotic ...

Abundant, low-cost, clean energy—the envisioned result if scientists and engineers can successfully produce a reliable method of generating and sustaining fusion energy—has taken one step ...