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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: Muminov, Mukhiddin I., Murid, Ali Hassan Mohamed
Format: Article
Published: Birkhauser Verlag AG 2018
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/85484/
http://dx.doi.org/10.1007/s11868-017-0212-1
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spelling my.utm.854842020-06-30T08:45:58Z http://eprints.utm.my/id/eprint/85484/ Boundary value formula for the Cauchy integral on elliptic curve Muminov, Mukhiddin I. Murid, Ali Hassan Mohamed QA Mathematics 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. Birkhauser Verlag AG 2018-12-01 Article PeerReviewed 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 http://dx.doi.org/10.1007/s11868-017-0212-1 DOI:10.1007/s11868-017-0212-1
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Muminov, Mukhiddin I.
Murid, Ali Hassan Mohamed
Boundary value formula for the Cauchy integral on elliptic curve
description 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.
format Article
author Muminov, Mukhiddin I.
Murid, Ali Hassan Mohamed
author_facet Muminov, Mukhiddin I.
Murid, Ali Hassan Mohamed
author_sort Muminov, Mukhiddin I.
title Boundary value formula for the Cauchy integral on elliptic curve
title_short Boundary value formula for the Cauchy integral on elliptic curve
title_full Boundary value formula for the Cauchy integral on elliptic curve
title_fullStr Boundary value formula for the Cauchy integral on elliptic curve
title_full_unstemmed Boundary value formula for the Cauchy integral on elliptic curve
title_sort boundary value formula for the cauchy integral on elliptic curve
publisher Birkhauser Verlag AG
publishDate 2018
url http://eprints.utm.my/id/eprint/85484/
http://dx.doi.org/10.1007/s11868-017-0212-1
_version_ 1672610540728352768
score 13.18916

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