Publications
[2013-13] On the square of Stieltjes's transform and its convolution with applications to singular integral equations .Edit
New index transforms of the Lebedev–Skalskaya type. Integral Transforms and Special Functions. 2016;27(2):137-152.
Multidimensional Kontorovich-Lebedev transforms. Integral Transforms Spec. Funct.. 2011;22:123-141.
A general approach to the theory of integral transforms with respect to an index. Izv. Vyssh. Uchebn. Zaved. Mat.. 1986:77-79, 84.
Eigenfunctions and fundamental solutions of the fractional two-parameter Laplacian. Int. J. Math. Math. Sci.. 2010:Art. ID 541934, 18.
Certain isometries related to the bilateral Laplace transform. Math. Model. Anal.. 2006;11:331-346.
Operational properties of convolution for the Kontorovich-Lebedev transformation. Dokl. Akad. Nauk Belarusi. 1994;38:19-23, 122-123.Edit
[2009-24] On the Watson L2-theory for index transforms .
On the Mehler-Fock integral transform in $L_p$-spaces. Extracta Math.. 1993;8:162-164.
On a progress in the Kontorovich-Lebedev transform theory and related integral operators. Integral Transforms Spec. Funct.. 2008;19:509-534.
[2008-1] A class of integral equations and index transformations related to the modified and incomplete Besse .
On the least values of $L_p$-norms for the Kontorovich-Lebedev transform and its convolution. J. Approx. Theory. 2004;131:231-242.
On the iterated Stieltjes transform and its convolution with applications to singular integral equations. Integral Transforms Spec. Funct.. 2014;25:398-411.Edit
On the $L_p$-theorems for index transforms. S\=urikaisekikenky\=usho Kōky\=uroku. 1995:72-83.Edit
On the generalized Dixon integral equation. Intern. Journ. of Math. And Comput.. 2017;28(1):25-32.
On the half-Hartley transform, its iteration and compositions with Fourier transforms. J. Integral Equations Appl. . 2014;26(4):581-608.
[2004-36] Lp-Boundedness of the general index transforms .
Index transforms associated with products of Whittaker's functions. J. Comput. Appl. Math.. 2002;148:419-427.
On some properties of the Abel-Goncharov polynomials and the Casas-Alvero problem. Integral Transforms and Special Functions. 2016;27(8):599-610.
A class of index transforms generated by the Mellin and Laplace operators. J. Math. Anal. Appl.. 2013;403:333-343.