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BANACH SPACE VALUED POTENTIAL TRANSFORM

Keywords: function , Banach space , Potential transform , testing function spaces.

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Abstract:

This paper studies different testing function spaces of Gelfand-Shilov type for the Banach space valued generalized Potential transform. The topological properties of these spaces are discussed. Different operators and their continuity is also discussed. The Analyticity theorem and Inversion theorem for Banach space valued distributional Potential Transform are also proved.

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