On the nonhomogeneous wavelet bi-frames for reducing subspaces of Hs(K)

Mohammad Younus Bhat

Abstract


Ahmad and Shiekh in Filomat 34: 6(2020), 2091-2099 have constructed dual wavelet frames in Sobolev spaces on local fields of positive characteristic. We continued the study and provided the characterization of nonhomogeneous wavelet bi-frames. First of all we introduce the reducing subspaces of Sobolev spaces over local fields of prime characteristics and then provide the way to characterize the nonhomogeneous wavelet bi-frames over such fields. Our results are better than those established by Ahmad and Shiekh.


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References


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DOI: https://doi.org/10.52846/ami.v49i2.1615