Localized tight frames on spheres Academic Article

abstract

• In this paper we wish to present a new class of tight frames on the sphere. These frames have excellent pointwise localization and approximation properties. These properties are based on pointwise localization of kernels arising in the spectral calculus for certain self-adjoint operators, and on a positive-weight quadrature formula for the sphere that the authors have recently developed. Improved bounds on the weights in this formula are another by-product of our analysis. 2006 Society for Industrial and Applied Mathematics.

authors

• Narcowich, Francis
• Ward, Joseph

published proceedings

• SIAM JOURNAL ON MATHEMATICAL ANALYSIS

author list (cited authors)

• Narcowich, F. J., Petrushev, P., & Ward, J. D.

citation count

• 212

complete list of authors

• Narcowich, FJ||Petrushev, P||Ward, JD

publication date

• January 2006

publisher

• Society for Industrial & Applied Mathematics (SIAM)  Publisher

published in

• SIAM Journal on Mathematical Analysis  Journal

keywords

• LOCALIZATION
• N-sphere
• Tight Frames

Digital Object Identifier (DOI)

• 10.1137/040614359

start page

• 574

end page

• 594

volume

• 38

issue

• 2

URL

• http://dx.doi.org/10.1137/040614359