Riesz MRA of dyadic dilations and the corresponding Riesz wavelet on LCA groups
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KünyeKumar, R., Satyapriya & Singh, M. (2023). Riesz MRA of dyadic dilations and the corresponding Riesz wavelet on LCA groups. TWMS Journal Of Applied And Engineering Mathematics, 13(1), 189-201.
We have explored the concept of Riesz multiresolution analysis (Riesz MRA) on a locally compact Abelian group G, and have done a detailed study of the methods of construction of a Riesz wavelet from the given Riesz MRA. For simplicity, we have assumed the order of dilations to be two, i.e. we have worked with dyadic dilations. We have proved that precisely one function is required to construct a Riesz wavelet basis for the space L²(G).
KaynakTWMS Journal Of Applied And Engineering Mathematics
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