Explicit formula for MRA-wavelets on local fields

Abstract

We provide an explicit formula for the wavelets associated with a multiresolution analysis of \(L^2(K)\), where K is a local field of positive characteristic. We also give several examples to illustrate this result.

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Correspondence to Biswaranjan Behera.

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Communicated by Ferenc Weisz.

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Behera, B. Explicit formula for MRA-wavelets on local fields. Adv. Oper. Theory 6, 55 (2021). https://doi.org/10.1007/s43036-021-00152-3

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Keywords

  • Local field
  • MRA-wavelet
  • p-Adic field
  • p-Series field

Mathematics Subject Classification

  • 43A70
  • 42C15
  • 42C40