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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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.