Some Localization Properties of the Lp Continuous Wavelet Transform |
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Authors: | Juan Miguel Medina Bruno Cernuschi-Frías |
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Institution: | Universidad de Buenos Aires, Facultad de Ingeniería, Buenos Aires, Argentina and Inst. Argentino de Matemática, “A. P. Calderón”-CONICET, Buenos Aires, Argentina |
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Abstract: | We shall prove some simultaneous localization or concentration inequalities for the continuous wavelet transform. We will also show that simultaneous localization in the scale-time(space) is impossible, in the sense that the scale sections of the support of wavelet transform of a nonnull Lp-function can not have finite Lebesgue measure. Finally, some properties of the support of continuous wavelet transform of band-limited functions are studied. |
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Keywords: | Continuous wavelet transform uncertainty principles Lp spaces |
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