On non-compactly supported \(p\)-adic wavelets (Q302081)

It is known that any orthogonal wavelet basis in the space \(L^2(\mathbb{Q}_p)\) consisting of test functions is a modification of the \(p\)-adic Haar basis (see [the author and \textit{M. Skopina}, ibid. 424, No. 2, 952--965 (2015; Zbl 1304.42087)]). The author gives an explicit construction of a non-compactly supported orthogonal \(p\)-adic wavelet basis which is essentially different from the Haar basis (cf. [\textit{S. F. Lukomskii} and \textit{G. S. Berdnikov}, Int. J. Wavelets Multiresolut. Inf. Process. 13, No. 5, Article ID 1550037, 23 p. (2015; Zbl 1329.42037)]).