Publications
[2007-16] On a progress in the Kontorovich-Lebedev transform theory and related integral operators .
A class of index transforms with general kernels. Math. Nachr.. 1999;200:165-182.Edit
On the Plancherel theorem for the Olevskii transform. Acta Math. Vietnam.. 2006;31:249-260.
On the curious series related to the elliptic integrals. The Ramanujan Journal. 2018;45(3):797-815.
Index transforms World Scientific Publishing Co., Inc., River Edge, NJ 1996.
On a class of integral convolutions. Vests\=ı Akad. Navuk Belarus\=ı Ser. F\=ız. Mat. Navuk. 1992:27-33, 124.
[2004-36] Lp-Boundedness of the general index transforms .
Harmonic analysis of the Lebedev-Stieltjes integrals. Asian-Eur. J. Math.. 2009;2:307-320.
Analog of the Hausdorff-Young theorem for the Lebedev integral. Integral Transforms Spec. Funct.. 2005;16:597-607.
On the integral transformation associated with the product of gamma-functions. Port. Math. (N.S.). 2003;60:337-351.
Closed-form evaluation of two-dimensional static lattice sums. Proc. R. Soc. A. 2016;472: 20160510.Edit
Some asymptotic expansions of special functions by their indices. Fukuoka Univ. Sci. Rep.. 1995;25:23-32.Edit
An index integral and convolution operator related to the Kontorovich-Lebedev and Mehler-Fock transforms. Complex Anal. Oper. Theory. 2012;6:947-970.
[2010-19] A general class of Voronoi’s and Koshliakov-Ramanujan’s summation formulas involving d_k(n) .
[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
A radial version of the Kontorovich-Lebedev transform in the unit ball. Opuscula Math.. 2011;31:137-146.Edit
Index integral transformations of Titchmarsh type. J. Comput. Appl. Math.. 1997;85:169-179.
Lebedev type índex transforms with the squares of the associated Legendre functions. Acta Math., Hungar. . 2017;153(1):57-74.
On a testing-function space for distributions associated with the Kontorovich-Lebedev transform. Collect. Math.. 2006;57:279-293.
A Voronoi-type summation formula involving $\sigma_{\rm i\tau(n)$ and index transforms. Integral Transforms Spec. Funct.. 2013;24:98-110.