The authors extend a reduced bipolar-harmonic basis to derive analytic angular-correlation functions for hemispherical asymmetry (two functions) and elliptical beams (three functions), but without testing them against observed CMB maps.
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abstract
SI Toolbox is a package for estimating the isotropy violation in the CMB sky. It can be used for estimating the BipoSH coefficients, Dipole modulation, and Doppler boost parameters etc. Different Fortran subroutines, provided with this package, can help the users to develop their independent Fortran codes. This document is an overview of the SI Toolbox installation guide, standalone facilities, and Fortran subroutines. The SI Toolbox package can be downloaded from https://github.com/SIToolBox/SIToolBox.
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Statistical Isotropy Violations in CMB Temperature Anisotropy: Analysis Using Minimal Bipolar Spherical Harmonics
The authors extend a reduced bipolar-harmonic basis to derive analytic angular-correlation functions for hemispherical asymmetry (two functions) and elliptical beams (three functions), but without testing them against observed CMB maps.