38 citations · 140 across the 60 of their papers we have counts for
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math.CA2013
New inversion, convolution and Titchmarsh's theorems for the half-Hilbert transform
Semyon Yakubovich
While exploiting the generalized Parseval equality for the Mellin transform, we derive the reciprocal inverse operator in the weighted L_2-space related to the Hilbert transform on…
math.CA2013
On the iterated Stieltjes transform and its convolution with applications to singular integral equations
S. Yakubovich, M. Martins
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 pr…
math.CA2013
Polynomial problems of the Casas-Alvero type
Semyon Yakubovich
We establish necessary and sufficient conditions for an arbitrary polynomial of degree , especially with only real roots, to be trivial, i.e. to have the form a(x-b)^n. To do th…