Mexican hat wavelet transform of distributions |
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| Authors: | R S Pathak |
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| Institution: | DST Centre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University, Varanasi, India |
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| Abstract: | Theory of Weierstrass transform is exploited to derive many interesting new properties of the Mexican hat wavelet transform. A real inversion formula in the differential operator form for the Mexican hat wavelet transform is established. Mexican hat wavelet transform of distributions is defined and its properties are studied. An approximation property of the distributional wavelet transform is investigated which is supported by a nice example. |
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| Keywords: | Distribution space wavelet transform Mexican hat wavelet Weierstrass transform |
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