Asymptotic Uncorrelation for Mexican Needlets

Details Asymptotic Uncorrelation for Mexican Needlets Asymptotic Uncorrelation for Mexican Needlets

2008-06-18

arxiv.org/abs/0806.3009v3

Mathematics

Functional Analysis

13 pages

Scientific paper

We recall Mexican needlets from [5]. We derive an estimate for certain types of Legendre series, which we apply to the statistical properties of Mexican needlets. More precisely, we shall show that, under isotropy and Gaussianity assumptions, the Mexican needlet coefficients of a random field on the sphere are asymptotically uncorrelated, as the frequency parameter goes to infinity. This property is important in the analysis of cosmic microwave background radiation.

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