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Synopsisusing results of BUGGLE and TIWARI, PANDEY on the AlEHLER-FOCK-transforin in certain spaces of generalizcd functions we introduce a convolution structure for these spaces, such that a convolution theorem of the ~IEHLER-FocH-transform can he proved.

Integral transforms (Hf )involving Fox's H-functions as kernels are studied in the spaces L ν,r of functions f such thatMapping properties such as the boundedness, the representation and the range of the transforms H are given.

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