Geodesic
A Fourier-Type Transform on the Semiaxis with an Arbitrary Phase
Matematičeskie zametki, Tome 107 (2020) no. 2, pp. 256-275

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Integral equations on the semiaxis with kernels having the form of a linear combination of the Fourier sine and cosine transforms with arbitrary variable complex coefficients are considered. For the case in which the coefficients depend on only one variable, exact solutions are presented. Various generalizations and applications to integral equations are given.
Keywords: integral equations, integral transforms, Fourier transforms, Riemann problem
Mots-clés : Carleman problem. 
@article{MZM_2020_107_2_a8,
     author = {V. \`E. Petrov},
     title = {A {Fourier-Type} {Transform} on the {Semiaxis} with an {Arbitrary} {Phase}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {256--275},
     publisher = {mathdoc},
     volume = {107},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_107_2_a8/}
}
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V. È. Petrov. A Fourier-Type Transform on the Semiaxis with an Arbitrary Phase. Matematičeskie zametki, Tome 107 (2020) no. 2, pp. 256-275. http://geodesic.mathdoc.fr/item/MZM_2020_107_2_a8/