BIB-VERSION:: CS-TR-v2.0
ID:: ncstrl.dartmouthcs//TR89-141
ENTRY:: January 20, 1995
ORGANIZATION:: Dartmouth College, Computer Science
TITLE:: Asymptotically Fast Algorithms for Spherical and Related Transforms
TYPE:: Technical Report (paper)
REVISION:: 1
AUTHOR:: Driscoll, James R.
AUTHOR:: Healy, Dennis M.
CONTACT:: <Dennis.M.Healy@Dartmouth.edu>
NOTE:: The 'January' in DATE is an arbitrary placeholder.
DATE:: January 1989
RETRIEVAL:: For a paper copy, email <reports@cs.dartmouth.edu>
RETRIEVAL:: For a paper copy, write to
       Technical Report Librarian
       Department of Computer Science
       Dartmouth College
       6211 Sudikoff Laboratory
       Hanover, NH 03755-3510
       USA
RETRIEVAL:: PDF at http://www.cs.dartmouth.edu/reports/TR89-141.pdf
ABSTRACT::
	This paper considers the problem of computing the harmonic
expansion of functions defined on the sphere.  We begin by proving
convolution theorems that relate the convolution of two functions on
the sphere to a "multiplication" in the sprectral domain, as well as
the multiplication of two functions on the sphere to a "convolution"
in the spectral domain.  These convolution theorems are then used to
develop a sampling theorem on the sphere.
END:: ncstrl.dartmouthcs//TR89-141