Publications
The Kontorovich-Lebedev transform and its convolution. S\=urikaisekikenky\=usho Kōky\=uroku. 1994:84-119.Edit
Integral transformation associated with the Macdonald type kernels. East-West J. Math.. 2000;2:73-84.Edit
On the Watson $L_2$-theory for index transforms II. Integral Transforms Spec. Funct.. 2010;21:663-673.
A remark on the inversion formula for Wimp's integral transformation with respect to the index. Differentsial\cprime nye Uravneniya. 1985;21:1097-1098, 1104.
A double index transform with a product of Macdonald's functions revisited. Opuscula Math.. 2009;29:313-329.
The Plancherel and Hausdorff-Young type theorems for an index transformation. Z. Anal. Anwend.. 2006;25:193-204.
On the Mehler-Fock transform in $L_p$-space. Math. Nachr.. 1997;185:261-277.Edit
Asymptotic and summation formulas related to the Lebedev integrals. Integral Transforms Spec. Funct.. 2008;19:293-304.
Convolution Hilbert spaces associated with the Kontorovich-Lebedev transformation. Thai J. Math.. 2003;1:9-16.
Integral equations and convolutions associated with transformations of Kontorovich-Lebedev type. Differentsial\cprime nye Uravneniya. 1993;29:1272-1284, 1288.Edit
On some new properties of the Kontorovich-Lebedev like integral transforms. Rev. Técn. Fac. Ingr. Univ. Zulia. 1995;18:291-299.
Closed-form evaluation of two-dimensional static lattice sums. Proc. R. Soc. A. 2016;472: 20160510.Edit
The generalizations of integral analog of the Leibniz rule on the $G$-convolutions. Extracta Math.. 1991;6:119-122.Edit
On the index integral transformation with Nicholson's function as the kernel. J. Math. Anal. Appl.. 2002;269:689-701.
A class of index integral transforms. Rev. Técn. Fac. Ingr. Univ. Zulia. 1987;10:105-118.Edit
[2005-23] On the testing-function spaces for distributions associated with the Kontorovich-Lebedev transform .
On the Plancherel theorem for the Olevskii transform. Acta Math. Vietnam.. 2006;31:249-260.
A class of index transforms with general kernels. Math. Nachr.. 1999;200:165-182.Edit
[2010-19] A general class of Voronoi’s and Koshliakov-Ramanujan’s summation formulas involving d_k(n) .
New index transforms with the product of Bessel functions. Integral Transforms and Spec. Functions. 2015;26(12):939-955.
Harmonic analysis of the Lebedev-Stieltjes integrals. Asian-Eur. J. Math.. 2009;2:307-320.