Publications
[2014-25] On the generalized Lebedev index transform .
[2004-36] Lp-Boundedness of the general index transforms .
[2011-1] The use of Kontorovich-Lebedev's transform in an analysis of regularized Schrodinger equation .Edit
The Kontorovich-Lebedev type transforms and their convolutions. In: Complex analysis and generalized functions (Varna, 1991). Publ. House Bulgar. Acad. Sci., Sofia; 1993. 3. p. 348-360p.
The heat kernel and Heisenberg inequalities related to the Kontorovich-Lebedev transform. Commun. Pure Appl. Anal.. 2011;10:745-760.
Integral and series transformations via Ramanujan's identities and Salem's type equivalences to the Riemann hypothesis. Integral Transforms Spec. Funct.. 2014;25:255-271.
A distribution associated with the Kontorovich-Lebedev transform. Opuscula Math.. 2006;26:161-172.
On the half-Hartley transform, its iteration and compositions with Fourier transforms. J. Integral Equations Appl. . 2014;26(4):581-608.
[2009-24] On the Watson L2-theory for index transforms .
Index transforms with Weber-type kernels . Integral Transforms and Special Functions. 2018;29(3):171-188.
[2008-1] A class of integral equations and index transformations related to the modified and incomplete Besse .
A class of integral equations and index transformations related to the modified and incomplete Bessel functions. J. Integral Equations Appl.. 2010;22:141-164.
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.
Composition theorems of Plancherel type for index transformations. Dokl. Akad. Nauk Belarusi. 1994;38:29-32, 122 (1995).
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 theory of the Kontorovich-Lebedev transformation on distributions. Proc. Amer. Math. Soc.. 1994;122:773-777.Edit
Closed-form evaluation of two-dimensional static lattice sums. Proc. R. Soc. A. 2016;472: 20160510.Edit
A constructive method for constructing integral convolutions. Dokl. Akad. Nauk BSSR. 1990;34:588-591, 666.