Abstract
In this paper we consider a Cauchy integral on elliptic curve $$\Gamma $$ parameterized by equation $$\eta (t)=a \cos t+ib \sin t, a,b>0$$ . We drive a formula for the boundary values of the Cauchy integral when integral function is Holder continuous on $$\Gamma $$ . Hence we extend Hilbert transform to elliptic curves.
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