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Abstract. The concepts of multiresolution analysis (MRA) and wavelet have been generalized to a local field $K$ of positive characteristic by using a prime element $\mathfrak p$ of such a field. A MRA is a sequence of closed subspaces of $L^2(K)$ satisfying certain properties. In this paper, we are interested in a nonstationary MRA and related wavelets on local fields of positive characteristic.
DOI: 10.14232/actasm-019-118-9
AMS Subject Classification
(1991): 42C40, 42C15, 43A70, 11S85
Keyword(s):
wavelet,
nonstationary,
multiresolution analysis,
local field,
Fourier transform
received 18.6.2019, revised 30.7.2019, accepted 31.7.2019. (Registered under 618/2019.)
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