Publications
An analog of Morgan's theorem for the Kontorovich-Lebedev transform. Adv. Pure Appl. Math.. 2010;1:159-162.Edit
The Titchmarsh integral transformation by the index of a Bessel function. J. Comput. Appl. Math.. 2000;118:353-361.
[2005-23] On the testing-function spaces for distributions associated with the Kontorovich-Lebedev transform .
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) .
Some asymptotic expansions of special functions by their indices. Fukuoka Univ. Sci. Rep.. 1995;25:23-32.Edit
Boundedness and inversion properties of certain convolution transforms. J. Korean Math. Soc.. 2003;40:999-1014.
[2011-1] The use of Kontorovich-Lebedev's transform in an analysis of regularized Schrodinger equation .Edit
On the class of Lebedev-Skalskaya type index transforms. Fukuoka Univ. Sci. Rep.. 1994;24:67-81.Edit
On the Lebedev-Skal\cprime skaya transform. Vests\=ı Akad. Navuk Belarus\=ı Ser. F\=ız. Mat. Navuk. 1995:28-35, 124.Edit
Integral convolutions for $H$-transformations. Izv. Vyssh. Uchebn. Zaved. Mat.. 1991:72-79.Edit
The Fourier-Stieltjes transform of Minkowski's $?(x)$ function and an affirmative answer to Salem's problem. C. R. Math. Acad. Sci. Paris. 2011;349:633-636.
On the convolution for the Kontorovich-Lebedev transformation and its applications to integral equations. Dokl. Akad. Nauk BSSR. 1987;31:101-103, 188.
[2009-24] On the Watson L2-theory for index transforms .
[2008-1] A class of integral equations and index transformations related to the modified and incomplete Besse .
Convolutions related to the Fourier and Kontorovich-Lebedev transforms revisited. Integral Transforms Spec. Funct.. 2010;21:259-276.Edit
$L_2$-boundedness of the gamma-product transform. Liet. Mat. Rink.. 2006;46:285-297.
A Voronoi-type summation formula involving $\sigma_{\rm i\tau(n)$ and index transforms. Integral Transforms Spec. Funct.. 2013;24:98-110.
[2004-36] Lp-Boundedness of the general index transforms .
On the non-convolution transformation with the Macdonald type kernel function. Fract. Calc. Appl. Anal.. 1998;1:297-309.Edit