For now I have to calculate the product of two spin-weighted spherical harmonics: $ _{s}Y_{lm}\ \times\ _{s}Y_{lm}^{*}$ What’s the result of this product? Maybe it is a spin-weighted 0 spherical harmonics with some coefficients?
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1The result is a real-valued function of $ \theta$ only, which you could get from this formula. – G. Smith May 27 '21 at 17:55
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Can you provide a definition? Do the two functions have the same argument? – ZeroTheHero May 27 '21 at 18:26