Publications
A class of index transforms generated by the Mellin and Laplace operators. J. Math. Anal. Appl.. 2013;403:333-343.
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.
The Kontorovich-Lebedev transform and its convolution. S\=urikaisekikenky\=usho Kōky\=uroku. 1994:84-119.Edit
[2007-16] On a progress in the Kontorovich-Lebedev transform theory and related integral operators .
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.
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.
[2011-15] A convolution operator related to the generalized Mehler-Fock and Kontorovich-Lebedev transforms .Edit
Lebedev type índex transforms with the squares of the associated Legendre functions. Acta Math., Hungar. . 2017;153(1):57-74.
[2014-25] On the generalized Lebedev index transform .
Integral equations and convolutions associated with transformations of Kontorovich-Lebedev type. Differentsial\cprime nye Uravneniya. 1993;29:1272-1284, 1288.Edit
A constructive method for constructing integral convolutions. Dokl. Akad. Nauk BSSR. 1990;34:588-591, 666.
Index transforms with the squares of Bessel functions. Integral Transforms Spec. Funct.. 2016;27(12):981-994.
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
A real inversion formula for the bilateral Laplace transform. Izv. Nats. Akad. Nauk Armenii Mat.. 2005;40:67-79.
Eddy viscisity of three dimensional flow. Journal of Fluid Mechanics. 1995;288:249-264.Edit