TWO SPECIAL CASES OF TWO-DIMENSIONAL INTEGRAL G-TRANSFORMATION IN THE WEIGHTED SPACES OF SUMMABLE FUNCTIONS
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Abstract
Two-dimensional integral transformations with special functions of the same type in kernels are considered. Using the Mellin transformation technique, it is shown that they are special cases of a two-dimensional G-transformation. Based on the theory of the G-transformation, the properties of the considered integral transformations in the weighted spaces of integrable functions in the domain 
are investigated. The results obtained generalize the data obtained for the corresponding one-dimensional analogues.
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References
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