Tail behavior of Mexican needlets

DOI10.1016/j.jmaa.2016.10.046zbMath1353.42033arXiv1307.4553OpenAlexW2963113250MaRDI QIDQ342900

Claudio Durastanti

Publication date: 18 November 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.4553

zbMATH Keywords

waveletssphereconcentration propertiesMexican needletsspatial localization

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (4)

Adaptive Density Estimation on the Circle by Nearly Tight Frames ⋮ Nonparametric needlet estimation for partial derivatives of a probability density function on the d -torus ⋮ Flexible-bandwidth needlets ⋮ Quantitative central limit theorems for Mexican needlet coefficients on circular Poisson fields

Uses Software

• Healpix

Cites Work

• Unnamed Item
• Unnamed Item
• Concentration inequalities and confidence bands for needlet density estimators on compact homogeneous manifolds
• On the limiting behaviour of needlets polyspectra
• Mixed needlets
• Spin wavelets on the sphere
• On the dependence structure of wavelet coefficients for spherical random fields
• Nearly tight frames and space-frequency analysis on compact manifolds
• Decomposition of Besov and Triebel-Lizorkin spaces on the sphere
• Asymptotic uncorrelation for Mexican needlets
• Orthogonal and nonorthogonal multiresolution analysis, scale discrete and exact fully discrete wavelet transform on the sphere
• Wavelets on the two-sphere and other conic sections
• Frames and coorbit theory on homogeneous spaces with a special guidance on the sphere
• Poisson wavelets on the sphere
• Complex data processing: Fast wavelet analysis on the sphere
• Cosmological applications of a wavelet analysis on the sphere
• Continuous wavelets on compact manifolds
• Localisation of directional scale-discretised wavelets on the sphere
• Localized polynomial frames on the ball
• High-Frequency Tail Index Estimation by Nearly Tight Frames
• Random Fields on the Sphere
• Localized Tight Frames on Spheres
• Besov spaces and frames on compact manifolds
• Optimal Filters on the Sphere

This page was built for publication: Tail behavior of Mexican needlets