Geodesic
Factorization of integral transformations of convolution type
Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Tome 21 (1983), pp. 3-41.

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We give a survey and recount methods of representing integral transforms of convolution type as compositions of other integral transforms, in particular direct and inverse Laplace transforms. Tables of representations are given for a wide class of integral transforms. 
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     author = {Yu. A. Brychkov and H.-J. Glaeske and O. I. Marichev},
     title = {Factorization of integral transformations of convolution type},
     journal = {Itogi nauki i tehniki. Seri\^a, Matemati\v{c}eskij analiz},
     pages = {3--41},
     publisher = {mathdoc},
     volume = {21},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTM_1983_21_a0/}
}
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Yu. A. Brychkov; H.-J. Glaeske; O. I. Marichev. Factorization of integral transformations of convolution type. Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Tome 21 (1983), pp. 3-41. http://geodesic.mathdoc.fr/item/INTM_1983_21_a0/