Muminov, Mukhiddin I. and Murid, Ali Hassan Mohamed (2018) Boundary value formula for the Cauchy integral on elliptic curve. Journal of Pseudo-Differential Operators and Applications, 9 (4). pp. 837-851. ISSN 1662-9981
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Official URL: http://dx.doi.org/10.1007/s11868-017-0212-1
Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | boundary value, Cauchy integral, hilbert transform |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 85484 |
| Deposited By: | Yanti Mohd Shah |
| Deposited On: | 30 Jun 2020 08:45 |
| Last Modified: | 30 Jun 2020 08:45 |
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