By relaxing the requirements for a sequence of functions to be a delta sequence, a space of Boehmians on the torus is constructed and studied. The space contains the space of distributions as well as the space of hyperfunctions on the torus. The Fourier transform is a continuous mapping from onto a subspace of Schwartz distributions. The range of the Fourier transform is characterized. A necessary and sufficient condition for a sequence of Boehmians to converge is that the corresponding sequence of Fourier transforms converges in .
An extension of certain integral transform to a space of Boehmians, Journal of the Association of Arab Universities for Basic and Applied Sciences, 2015, 17, 36
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On the Generalized Krätzel Transform and Its Extension to Bohemian Spaces, Abstract and Applied Analysis, 2013, 2013, 1
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Stockwell transform for Boehmians, Integral Transforms and Special Functions, 2013, 24, 4, 251
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