Publications
Found 248 results
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[2010-3] An index integral and convolution operator related to the Kontorovich-Lebedev and Mehler-Fock transf .
[2010-2] Index integral representations for connection between cartesian, cylindrical and spheroidal sytems .Edit
[2010-11] Multidimensional Kontorovich-Lebedev transforms .
Properties of index transforms in modeling of nanostructures and plasmonic systems. J. Math. Phys.. 2010;51:023518, 30.Edit
[2010-22] On a Riemann-Liouville fractional analog of the Laplace operator with positive energy .Edit
On the Watson $L_2$-theory for index transforms I. Integral Transforms Spec. Funct.. 2010;21:381-397.
On the Watson $L_2$-theory for index transforms II. Integral Transforms Spec. Funct.. 2010;21:663-673.
[2011-15] A convolution operator related to the generalized Mehler-Fock and Kontorovich-Lebedev transforms .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.
A general class of Voronoi's and Koshliakov-Ramanujan's summation formulas involving $d_k(n)$. Integral Transforms Spec. Funct.. 2011;22:801-821.
The heat kernel and Heisenberg inequalities related to the Kontorovich-Lebedev transform. Commun. Pure Appl. Anal.. 2011;10:745-760.
Index integral representations for connection between Cartesian, cylindrical, and spheroidal systems. Integral Transforms Spec. Funct.. 2011;22:549-560.Edit
Multidimensional Kontorovich-Lebedev transforms. Integral Transforms Spec. Funct.. 2011;22:123-141.
A radial version of the Kontorovich-Lebedev transform in the unit ball. Opuscula Math.. 2011;31:137-146.Edit