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 ...

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 ...

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.

A new study published in Nature Communications shows, for the first time, how heat moves—or rather, doesn't—between materials in a high-energy-density plasma state. The work is expected to ...

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 ...

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 ...

The course provides an introduction to the theoretical basis for linear partial differential equations, focusing on elliptic equations and eigenvalue problems. The techniques and methods developed are ...