Publications
A class of integral equations and index transformations related to the modified and incomplete Bessel functions. J. Integral Equations Appl.. 2010;22:141-164.
The hypergeometric approach to integral transforms and convolutions. Vol 287 Kluwer Academic Publishers Group, Dordrecht 1994.Edit
A distribution associated with the Kontorovich-Lebedev transform. Opuscula Math.. 2006;26:161-172.
[2008-7] Convolution operators related to Fourier cosine and Kontorovich-Lebedev Transformations .Edit
Beurling's theorems and inversion formulas for certain index transforms. Opuscula Math.. 2009;29:93-110.
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.
On a new index transformation related to the product of Macdonald functions. Rad. Mat.. 2004;13:63-85.
[2005-23] On the testing-function spaces for distributions associated with the Kontorovich-Lebedev transform .
About a new class of integral transforms in Hilbert space. Math. Balkanica (N.S.). 1995;9:179-191.
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.
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.
A constructive method for constructing integral convolutions. Dokl. Akad. Nauk BSSR. 1990;34:588-591, 666.
On the Weber integral equation and solution to the Weber–Titchmarsh problem. Journal of Mathematical Analysis and Applications. 2018;460(1):400-410.
On the generalized Lebedev index transform. J. Math. Anal. Appl.. 2015;429(1):184-203.
An analog of Morgan's theorem for the Kontorovich-Lebedev transform. Adv. Pure Appl. Math.. 2010;1:159-162.Edit
Composition theorems of Plancherel type for index transformations. Dokl. Akad. Nauk Belarusi. 1994;38:29-32, 122 (1995).
The Titchmarsh integral transformation by the index of a Bessel function. J. Comput. Appl. Math.. 2000;118:353-361.
On the theory of the Kontorovich-Lebedev transformation on distributions. Proc. Amer. Math. Soc.. 1994;122:773-777.Edit
A real inversion formula for the bilateral Laplace transform. Izv. Nats. Akad. Nauk Armenii Mat.. 2005;40:67-79.
[2010-19] A general class of Voronoi’s and Koshliakov-Ramanujan’s summation formulas involving d_k(n) .
[2004-36] Lp-Boundedness of the general index transforms .
Boundedness and inversion properties of certain convolution transforms. J. Korean Math. Soc.. 2003;40:999-1014.