Results 41 to 50 of about 785,515 (75)

FOURIER-TYPE TRANSFORMS ON REARRANGEMENT-INVARIANT QUASI-BANACH FUNCTION SPACES

open access: yes, 2018
We establish the mapping properties of Fourier-type transforms on rearrangement-invariant quasi-Banach function spaces. In particular, we have the mapping properties of the Laplace transform, the Hankel transforms, the Kontorovich-Lebedev transform and ...
KWOK-PUN HO
core   +1 more source

Opuscula Mathematica

open access: yes, 2011
In this paper we introduce a radial version of the Kontorovich-Lebedev transform in the unit ball.
Âkuboviĉ, Semën B., Vieira, Nelson
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Certain identities, connection and explicit formulas for the Bernoulli and Euler numbers and the Riemann zeta-values

open access: yes, 2015
Various new identities, recurrence relations, integral representations, connection and explicit formulas are established for the Bernoulli and Euler numbers and the values of Riemann's zeta function (s).
Yakubovich, SB
core   +1 more source

Integral Transforms Of Hypergeometric Functions

open access: yes, 2003
These notes give a short introduction to the theory of integral transforms in Lebesgue spaces, which are associated with hypergeometric functions as their kernels. We deal with a class of the so-called Kontorovich-Lebedev type integral transforms.
Semyon B. Yakubovich
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Kontorovich-Lebedev Integrals in Electromagnetic Scattering and Radiation Problems

open access: yes, 2007
The paper explains the Kontorovich-Lebedev (KL) integral convergence issues from the viewpoint of the KL integral transformation and presents a version of the KL method which is particularly well suited for solving problems of radiation and scattering of
Osipov, Andrey
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Order Decay of the KL Transform with Residue-Based Resonance Extraction in Hybrid-Vehicle Logistics

open access: yes
The Kontorovich–Lebedev (KL) transform is defined by integration against the Macdonald function of purely imaginary order. This paper establishes the fundamental uniform estimates that characterize its natural domain the weighted Lebesgue space and ...
V. A. Sharma
core   +1 more source

Diffraction of the plane electromagnetic wave on the structure incorporating two coaxial unclosed cones

open access: yes, 2007
The paper is developed to the investigation of plane wave diffraction on the 3D composite unclosed conical structure consisting of two cones with longitudinal slots.
Ruzhytskya, S. V.   +3 more
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Electromagnetic excitation of PEC slotted cones by elementary radial dipoles – a semi-inversion analysis

open access: yes, 2008
This paper presents a novel method that is based on the use of the Kontorovich-Lebedev integral transform and the semi-inversion technique, developed for building the efficient and accurate numerical solutions to the boundary-value problems of ...
Semenova, E. K., Doroshenko, V. A.
core  

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