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On the iterated Stieltjes transform and its convolution with applications to singular integral equations

Title
On the iterated Stieltjes transform and its convolution with applications to singular integral equations
Type
Article in International Scientific Journal
Year
2014
Authors
Yakubovich, S
(Author)
FCUP
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Martins, M
(Author)
Other
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Journal
Vol. 25
Pages: 398-411
ISSN: 1065-2469
Publisher: Taylor & Francis
Other information
Authenticus ID: P-009-5YS
Abstract (EN): We consider mapping properties of the iterated Stieltjes transform, establishing its new relations with the iterated Hilbert transform (a singular integral) on the half-axis and proving the corresponding convolution and Titchmarsh's type theorems. Moreover, the obtained convolution method is applied to solve a new class of singular integral equations.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 14
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