Boundary value formula for the Cauchy integral on elliptic curve
In this paper we consider a Cauchy integral on elliptic curve Γ parameterized by equation η(t) = acos t+ ibsin t, a, b> 0. We drive a formula for the boundary values of the Cauchy integral when integral function is Hölder continuous on Γ. Hence we extend Hilbert transform to elliptic curves.
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Main Authors: | , |
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Format: | Article |
Published: |
Birkhauser Verlag AG
2018
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Subjects: | |
Online Access: | http://eprints.utm.my/id/eprint/85484/ http://dx.doi.org/10.1007/s11868-017-0212-1 |
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Institution: | Universiti Teknologi Malaysia |