Geodesic
Application of the Quasiasymptotic boundedness of distributions of Wavelet transform
Publications de l'Institut Mathématique, _N_S_86 (2009) no. 100, p. 115

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We analyze the boundedness of the wavelet transform ${\mathcal W}_g f$of the quasiasymptotically bounded distribution $f$.Assuming that the distribution $f\in\mathcal{S}'(\mathbb R)$is quasiasymptotically or $r$-quasiasymptotically bounded at a point or at infinityrelated to a continuous and positive function,we obtain results for the localization of its wavelet transform.
DOI : 10.2298/PIM0900115S
Classification : 46F12 42C40
Keywords: Wavelet transform, tempered distributions, quasiasymptotic boundedness 
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     author = {Katerina Saneva},
     title = {Application of the {Quasiasymptotic} boundedness of distributions of {Wavelet} transform},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {115 },
     publisher = {mathdoc},
     volume = {_N_S_86},
     number = {100},
     year = {2009},
     doi = {10.2298/PIM0900115S},
     zbl = {1265.46059},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0900115S/}
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Katerina Saneva. Application of the Quasiasymptotic boundedness of distributions of Wavelet transform. Publications de l'Institut Mathématique, _N_S_86 (2009) no. 100, p. 115 . doi: 10.2298/PIM0900115S

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