69 search results - page 1 / 14 » Polynomial frames on the sphere |
ADCM
2000
13 years 4 months ago
2000
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 local...
NA
2007
13 years 4 months ago
2007
In 2000, Reimer proved that a positive weight quadrature rule on the unit sphere Sd ⊂ Rd+1 has the property of quadrature regularity. Hesse and Sloan used a related property, ca...
ADCM
2008
13 years 5 months ago
2008
In this paper we analyse a hybrid approximation of functions on the sphere S2 R3 by radial basis functions combined with polynomials, with the radial basis functions assumed to be...
FOCM
2007
13 years 5 months ago
2007
Abstract. We consider the problem of efficient integration of an n-variate polynomial with respect to the Gaussian measure in Rn and related problems of complex integration and opt...
SIAMNUM
2010
12 years 11 months ago
2010
A set XN of N points on the unit sphere is a spherical t-design if the average value of any polynomial of degree at most t over XN is equal to the average value of the polynomial o...