Characterization of wavelets and MRA wavelets on local fields of positive characteristic

• Autores: Biswaranjan Behera, Qaiser Jahan
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 66, Fasc. 1, 2015, págs. 33-53
• Idioma: inglés
• DOI: 10.1007/s13348-014-0116-9
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• Resumen

  • We provide a characterization of wavelets on local fields of positive characteristic based on results on affine and quasi-affine frames. This result generalizes the characterization of wavelets on Euclidean spaces by means of two basic equations. We also give another characterization of wavelets. Further, all wavelets which are associated with a multiresolution analysis on such a local field are also characterized.