ACTA issues

Nonstationary multiresolution analysis on local fields of prime characteristic

M. Younus Bhat

Acta Sci. Math. (Szeged) 86:1-2(2020), 303-320

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.)