Publications
[2011-15] A convolution operator related to the generalized Mehler-Fock and Kontorovich-Lebedev transforms .Edit
On a progress in the Kontorovich-Lebedev transform theory and related integral operators. Integral Transforms Spec. Funct.. 2008;19:509-534.
On the least values of $L_p$-norms for the Kontorovich-Lebedev transform and its convolution. J. Approx. Theory. 2004;131:231-242.
Corrigendum to the note ``The Fourier-Stieltjes transform of Minkowski's $?(x)$ function and an affirmative answer to Salem's problem'' [C. R. Acad. Sci. Paris, Ser. I 349 (11–12) (2011) 633–636] [\refcno 2817381]. C. R. Math. Acad. Sci. Paris. 2012;350:147.
[2010-3] An index integral and convolution operator related to the Kontorovich-Lebedev and Mehler-Fock transf .
Index transforms associated with products of Whittaker's functions. J. Comput. Appl. Math.. 2002;148:419-427.
New summation and transformation formulas of the Poisson, Müntz, Möbius and Voronoi type. Integral Transforms Spec. Functions. 2015;26(10):768-795.
[2008-7] Convolution operators related to Fourier cosine and Kontorovich-Lebedev Transformations .Edit
$L_2$-interpretation of the Kontorovich-Lebedev integrals. Int. J. Pure Appl. Math.. 2008;42:99-110.
Some asymptotic expansions of special functions by their indices. Fukuoka Univ. Sci. Rep.. 1995;25:23-32.Edit
Index transforms with Weber-type kernels . Integral Transforms and Special Functions. 2018;29(3):171-188.
On Parseval equalities and boundedness properties for Kontorovich-Lebedev type operators. Novi Sad J. Math.. 1999;29:185-205.Edit
Convolution operators related to the Fourier cosine and Kontorovich-Lebedev transformations. Results Math.. 2009;55:175-197.Edit
The Kontorovich-Lebedev transformation on Sobolev type spaces. Sarajevo J. Math.. 2005;1(14):211-234.
On the class of Lebedev-Skalskaya type index transforms. Fukuoka Univ. Sci. Rep.. 1994;24:67-81.Edit
A new Kontorovich-Lebedev-like transformation. Commun. Math. Anal.. 2012;13:86-99.
Integral convolutions of Laplace type for $G$-transforms. Vests\=ı Akad. Navuk BSSR Ser. F\=ız.-Mat. Navuk. 1991:11-16, 123.
New index transforms of the Lebedev–Skalskaya type. Integral Transforms and Special Functions. 2016;27(2):137-152.
On the Kontorovich-Lebedev transformation. J. Integral Equations Appl.. 2003;15:95-112.
The heat kernel and Heisenberg inequalities related to the Kontorovich-Lebedev transform. Commun. Pure Appl. Anal.. 2011;10:745-760.
A Voronoi-type summation formula involving $\sigma_{\rm i\tau(n)$ and index transforms. Integral Transforms Spec. Funct.. 2013;24:98-110.