Sobolev type spaces in quantum calculus |
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| Authors: | Akram Nemri Belgacem Selmi |
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| Institution: | a Faculté des Sciences de Tunis, 1060 Tunis, Tunisia
b Faculté des Sciences de Bizerte, Département de Mathématiques, 7021 Zarzouna, Tunisia |
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| Abstract: | In this paper q-Sobolev type spaces are defined on Rq by using the q-cosine Fourier transform and its inverse. In particular, embedding results for these spaces are established. Next we define the q-cosine potential and study some of its properties. |
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| Keywords: | Quantum calculus q-Distributions q-Sobolev spaces q-Cosine |
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