Publications
[2011-1] The use of Kontorovich-Lebedev's transform in an analysis of regularized Schrodinger equation .Edit
A Voronoi-type summation formula involving $\sigma_{\rm i\tau(n)$ and index transforms. Integral Transforms Spec. Funct.. 2013;24:98-110.
The heat kernel and Heisenberg inequalities related to the Kontorovich-Lebedev transform. Commun. Pure Appl. Anal.. 2011;10:745-760.
A class of integral equations and index transformations related to the modified and incomplete Bessel functions. J. Integral Equations Appl.. 2010;22:141-164.
A distribution associated with the Kontorovich-Lebedev transform. Opuscula Math.. 2006;26:161-172.
On the Mehler-Fock index transform in $L_p$-space. S\=urikaisekikenky\=usho Kōky\=uroku. 1994:130-144.Edit
New inversion, convolution and Titchmarsh's theorems for the half-Hilbert transform. Integral Transforms Spec. Funct.. 2014;25:955-968.
Beurling's theorems and inversion formulas for certain index transforms. Opuscula Math.. 2009;29:93-110.
On a new index transformation related to the product of Macdonald functions. Rad. Mat.. 2004;13:63-85.
[2008-27] A class of polynomials and discrete transformationsassociated with the Kontorovich- Lebedev operator .
About a new class of integral transforms in Hilbert space. Math. Balkanica (N.S.). 1995;9:179-191.
Some classes of discrete transforms that are generated by matrix linear operators. Vests\=ı Akad. Navuk Belarus\=ı Ser. F\=ız. Mat. Navuk. 1992:20-25, 123.
On the Weber integral equation and solution to the Weber–Titchmarsh problem. Journal of Mathematical Analysis and Applications. 2018;460(1):400-410.
On a new approach to convolution constructions. Internat. J. Math. Math. Sci.. 1993;16:435-448.Edit
A constructive method for constructing integral convolutions. Dokl. Akad. Nauk BSSR. 1990;34:588-591, 666.
On the new approach to the constructions of the index transforms. Dissertationes Math. (Rozprawy Mat.). 1995;340:321-335.
The Titchmarsh integral transformation by the index of a Bessel function. J. Comput. Appl. Math.. 2000;118:353-361.
An analog of Morgan's theorem for the Kontorovich-Lebedev transform. Adv. Pure Appl. Math.. 2010;1:159-162.Edit