Results 11 to 20 of about 785,515 (75)
Kontorovich-Lebedev-Fourier space for de Sitter correlators
Journal of High Energy PhysicsIn this work, we build a novel frequency-momentum space for (d + 1)-dimensional de Sitter (dS) correlators from first principles. This construction follows directly from the decomposition into unitary irreducible representations (UIRs) of the spacetime ...
Nathan Belrhali +3 more
doaj +4 more sources
IET Microwaves, Antennas &Propagation, Volume 15, Issue 10, Page 1360-1379, 12 August 2021., 2021 Abstract An initial‐boundary value problem for the transient electromagnetic field in the presence of a complicated‐shape scatterer is studied. The considered biconical zero‐thickness and perfectly conducting surface with periodic longitudinal slots has many special cases, each of which is of separate practical interest.
Volodymyr O. Doroshenko +1 more
wiley +1 more source
Journal of Mathematics, Volume 2015, Issue 1, 2015., 2015 We study the asymptotic behavior of the free partition function in the t → 0+ limit for a diffusion process which consists of d‐independent, one‐dimensional, symmetric, 2s‐stable processes in a hyperrectangular cavity K⊂Rd with an absorbing boundary.
Agapitos N. Hatzinikitas, Alfred Peris
wiley +1 more source
Mathematical Problems in Engineering, Volume 2010, Issue 1, 2010., 2010 The polyconvolution with the weight function γ of three functions f, g, and h for the integral transforms Fourier sine (Fs), Fourier cosine (Fc), and Kontorovich‐Lebedev (Kiy), which is denoted by ∗γ(f,g,h)(x), has been constructed. This polyconvolution satisfies the following factorization property Fc(∗γ(f,g,h))(y)=sin y(Fsf)(y)·(Fcg)(y)·(Kiyh)(y ...
Nguyen Xuan Thao, Slimane Adjerid
wiley +1 more source
Central factorials under the Kontorovich–Lebedev transform of polynomials
, 2013 In this paper, we show that slight modifications of the Kontorovich–Lebedev (KL) transform lead to an automorphism of the vector space of polynomials.
Yakubovich, S. +3 more
core +1 more source
The Kontorovich-Lebedev transform as a map between d-orthogonal polynomials
, 2013 A slight modification of the Kontorovich–Lebedev transform is an auto-morphism on the vector space of polynomials. The action of this inline image-transform over certain polynomial sequences will be under discussion, and a special attention will be given
Yakubovich, S., Loureiro, Ana F.
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On the theory of the Kontorovich-Lebedev transformation on distributions
, 1994 A new proof of the representation theorem for the Kontorovich-Lebedev transformation on distributions is given.
Brian Fisher, Semen B. Yakubovich
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Finite hybrid integral transformation of the Bessel–Furier (Kontorovich–Lebedev) on the polar axis segment [PDF]
, 2011 Запроваджено інтегральне перетворення, породжене на сегменті полярної осі з двома точками спряження гібридним диференціальним оператором Бесселя–Фур’є (Конторовича–Лєбєдєва).Introduced integral transformation, generated by the segment polar axis of ...
Lenyuk, M. +3 more
core +1 more source
Operational calculi for kontorovich-lebedev and mehler-fock transforms on distributions with compact support [PDF]
, 1998 Operational calculi are analized for Kontorovich-Lebedev and Mehler-Fock transforms on distributions with compact ...
Negrín, E. R., González, B. J.
core
On the use of Kontorovich-Lebedev transform in electromagnetic diffraction by an impedance cone
, 2012 We consider the boundary-value problem for the Helmholtz equation connected with an infinite circular cone with an impedance boundary on its face. The scheme of solution includes applying the Kontorovich-Lebedev (KL) transform to reduce the problem to ...
Kamel, Aladin Hassan +5 more
core +1 more source