Characterization of Nonhomogeneous Wavelet Bi-frames for Reducing Subspaces of Sobolev Spaces over Local Fields of Prime Characteristics

Abstract

In this paper, we provide 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 characterize the nonhomogeneous wavelet bi frames over such fields.

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