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.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Published: |
Birkhauser Verlag AG
2018
|
| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/85484/ http://dx.doi.org/10.1007/s11868-017-0212-1 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|