Mixed needlets

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:375

Article

Geller, Daryl¹  Marinucci, Domenico² 

[1] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA

[2] Univ Roma Tor Vergata, Dept Math, I-00173 Rome, Italy

关键词: Spherical harmonics;    Line bundles;    Spin needlets;    Mixed needlets;    Besov spaces;    Cosmic microwave background radiation;    Polarization;    Weak gravitational lensing;   

DOI  :  10.1016/j.jmaa.2010.09.046

来源: Elsevier

【 摘 要 】

The construction of needlet-type wavelets on sections of the spin line bundles over the sphere has been recently addressed in Geller and Marinucci (2008) 1141, and Geller et al. (2008, 2009) [12,13]. Here we focus on an alternative proposal for needlets on this spin line bundle, in which needlet coefficients arise from the usual, rather than the spin, spherical harmonics, as in the previous constructions. We label this system mixed needlets and investigate in full their properties, including localization, the exact tight frame characterization, reconstruction formula, decomposition of functional spaces, and asymptotic uncorrelation in the stochastic case. We outline astrophysical applications. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free