Geodesic
Integral Transforms with Non-separated Variables and Discontinuous Coefficients
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2013), pp. 594-603

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Multidimensional integral transforms with non-separated variables for discontinuous coefficients problems are constructed in the case where the coefficient discontinuities are on the parallel hyperplanes. Explicit kernel formulas for ideal coupling conditions are obtained. The basic integral transform identity is proved. 
@article{JMAG_2013_9_a7,
     author = {O. E. Yaremko},
     title = {Integral {Transforms} with {Non-separated} {Variables} and {Discontinuous} {Coefficients}},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {594--603},
     publisher = {mathdoc},
     volume = {9},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2013_9_a7/}
}
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O. E. Yaremko. Integral Transforms with Non-separated Variables and Discontinuous Coefficients. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2013), pp. 594-603. http://geodesic.mathdoc.fr/item/JMAG_2013_9_a7/