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Process."],"published-print":{"date-parts":[[2022,1]]},"abstract":"<jats:p> In wavelet analysis, refinable functions are the bases of extension principles for constructing (weak) dual wavelet frames for [Formula: see text] and its reducing subspaces. This paper addresses refinable function-based dual wavelet frames construction in Walsh reducing subspaces of [Formula: see text]. We obtain a Walsh\u2013Fourier transform domain characterization for weak [Formula: see text]-adic nonhomogeneous dual wavelet frames; and present a mixed oblique extension principle for constructing weak [Formula: see text]-adic nonhomogeneous dual wavelet frames in Walsh reducing subspaces of [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s0219691321500405","type":"journal-article","created":{"date-parts":[[2021,9,12]],"date-time":"2021-09-12T05:29:37Z","timestamp":1631424577000},"source":"Crossref","is-referenced-by-count":6,"title":["Weak nonhomogeneous wavelet dual frames for Walsh reducing subspace of L2(\u211d+)"],"prefix":"10.1142","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5248-5271","authenticated-orcid":false,"given":"Yan","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Mathematics and Information Science, North Minzu University, Yinchuan 750021, P. R. 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