Publications
[2013-13] On the square of Stieltjes's transform and its convolution with applications to singular integral equations .Edit
A radial version of the Kontorovich-Lebedev transform in the unit ball. Opuscula Math.. 2011;31:137-146.Edit
[2004-3] Theorems of the Hausdorff-Young and Riesz-Kolmogorov type for the Kontorovich-Lebedev transform and .
On a testing-function space for distributions associated with the Kontorovich-Lebedev transform. Collect. Math.. 2006;57:279-293.
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.
Uncertainty principles for the Kontorovich-Lebedev transform. Math. Model. Anal.. 2008;13:289-302.
Index transforms associated with generalized hypergeometric functions. Math. Methods Appl. Sci.. 2004;27:35-46.
On the construction of integral transformations by the composition method. Izv. Vyssh. Uchebn. Zaved. Mat.. 1993:71-79 (1994).
On the general index transforms in $L_p$-space. S\=urikaisekikenky\=usho Kōky\=uroku. 1995:60-71.Edit
Index transforms with the squares of Bessel functions. Integral Transforms Spec. Funct.. 2016;27(12):981-994.
[2010-3] An index integral and convolution operator related to the Kontorovich-Lebedev and Mehler-Fock transf .
The Plancherel, Titchmarsh and convolution theorems for the half-Hartley transform. Integral Transforms Spec. Funct.. 2014;25:836-848.
On some Rajchman measures and equivalent Salem's problem. Commun. Math. Anal.. 2013;14:28-41.
Index transforms associated with Bessel and Lommel functions. Z. Anal. Anwendungen. 2002;21:627-638.
[2008-7] Convolution operators related to Fourier cosine and Kontorovich-Lebedev Transformations .Edit
On the Weber integral equation and solution to the Weber–Titchmarsh problem. Journal of Mathematical Analysis and Applications. 2018;460(1):400-410.
A general class of Voronoi's and Koshliakov-Ramanujan's summation formulas involving $d_k(n)$. Integral Transforms Spec. Funct.. 2011;22:801-821.
On the index-convolution Kontorovich-Lebedev transform. Integral Transform. Spec. Funct.. 1994;2:77-80.
On Lebedev type integral transformations associated with modified Bessel functions. Nieuw Arch. Wisk. (4). 1999;17:219-227.
Certain identities, connection and explicit formulas for the Bernoulli and Euler numbers and the Riemann zeta-values. Analysis (Berlin). 2015;35:59-71.
On the Watson $L_2$-theory for index transforms I. Integral Transforms Spec. Funct.. 2010;21:381-397.