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: | Muminov, Mukhiddin I., Murid, Ali Hassan Mohamed |
---|---|
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!
|
Similar Items
-
Cauchy integral formula
by: Azram, Mohammad, et al.
Published: (2013) -
Cauchy integral formula
by: Azram, Mohammad, et al.
Published: (2013) -
A boundary integral equation related to the Ahlfors map
by: A. Wahid, Nur H. A., et al.
Published: (2021) -
Boundary integral equation approach for conformal mapping, complex boundary value problems, and reproducing kernels.
by: Murid, Ali Hassan Mohamed, et al.
Published: (2003) -
On eigenfunctions of the integral operator with Neumann kernel
by: Muminov, Mukhiddin I.
Published: (2017)