Polynomial frames on the sphere

We introduce a class of polynomial frames suitable for analyzing data on the surface of the unit sphere of a Euclidean space. Our frames consist of polynomials, but are well localized, and are stable with respect to all the Lp norms. The frames belonging to higher and higher scale wavelet spaces have more and more vanishing moments. 1 The research of this author was supported, in part, by grant DMS-9971846 from the National Science Foundation. Research of these authors was sponsored by the Air Force Office of Scientific Research, Air Force Materiel Command, USAF, under grant number F49620-98-1-0204. The U.S. Government is authorized to reproduce and distribute reprints for Governmental purposes notwithstanding any copyright notation thereon. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the Air Force Office of Scientific Research or t...

• Type: Journal
• Year: 2000
• Where: ADCM
• Authors: Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Jürgen Prestin, Joseph D. Ward
• Keywords: ADCM 2000, Air Force, Air Force Materiel Command, Air Force Office