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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2013, Volume 9, Number 4, Pages 594–603 (Mi jmag581)  
Integral Transforms with Non-separated Variables and Discontinuous Coefficients

O. E. Yaremko

Penza State University, 37, Lermontov Str., Penza 440038, Russia
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Abstract: 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.
Key words and phrases: integral transforms, non-separated variables, coupling conditions.
Received: 21.03.2012
Revised: 21.01.2013
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Document Type: Article
MSC: 65R10
Language: English
Citation: O. E. Yaremko, “Integral Transforms with Non-separated Variables and Discontinuous Coefficients”, Zh. Mat. Fiz. Anal. Geom., 9:4 (2013), 594–603
Citation in format AMSBIB
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\by O.~E.~Yaremko
\paper Integral Transforms with Non-separated Variables and Discontinuous Coefficients
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2013
\vol 9
\issue 4
\pages 594--603
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3155026}
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