Publications
On the Watson $L_2$-theory for index transforms I. Integral Transforms Spec. Funct.. 2010;21:381-397.
A class of polynomials and discrete transformations associated with the Kontorovich-Lebedev operators. Integral Transforms Spec. Funct.. 2009;20:551-567.
$L_P$-boundedness of general index transforms. Liet. Mat. Rink.. 2005;45:127-147.
The Kontorovich-Lebedev transform and its convolution. S\=urikaisekikenky\=usho Kōky\=uroku. 1994:84-119.Edit
On convolution integral equations associated with the Kontorovich-Lebedev transform. In: Boundary value problems, special functions and fractional calculus (Russian) (Minsk, 1996). Belorus. Gos. Univ., Minsk; 1996. 3. p. 391-400p. Edit
Some generalizations of the Laplace convolution. Mat. Fiz. Neline\uın. Mekh.. 1992:8-12.
On the Weber integral equation and solution to the Weber–Titchmarsh problem. Journal of Mathematical Analysis and Applications. 2018;460(1):400-410.
[2010-3] An index integral and convolution operator related to the Kontorovich-Lebedev and Mehler-Fock transf .
Integral transformations by the index of Lommel's function. Period. Math. Hungar.. 2003;46:223-233.
Fundamental solutions of the fractional two-parameter telegraph equation. Integral Transforms Spec. Funct.. 2012;23:509-519.Edit
[2008-7] Convolution operators related to Fourier cosine and Kontorovich-Lebedev Transformations .Edit
Integral equations and convolutions associated with transformations of Kontorovich-Lebedev type. Differentsial\cprime nye Uravneniya. 1993;29:1272-1284, 1288.Edit
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.
[2004-36] Lp-Boundedness of the general index transforms .
On a progress in the Kontorovich-Lebedev transform theory and related integral operators. Integral Transforms Spec. Funct.. 2008;19:509-534.
On the least values of $L_p$-norms for the Kontorovich-Lebedev transform and its convolution. J. Approx. Theory. 2004;131:231-242.
[2010-19] A general class of Voronoi’s and Koshliakov-Ramanujan’s summation formulas involving d_k(n) .
On the $L_p$-theorems for index transforms. S\=urikaisekikenky\=usho Kōky\=uroku. 1995:72-83.Edit
Closed-form evaluation of two-dimensional static lattice sums. Proc. R. Soc. A. 2016;472: 20160510.Edit