ACTA issues

Pairs of dual wavelet frames on local fields

M. Younus Bhat

Acta Sci. Math. (Szeged) 85:1-2(2019), 271-289

Abstract. In this paper an algorithm based on polyphase matrices for constructing a pair of orthogonal wavelet frames is suggested, and a general form for all orthogonal tight wavelet frames on local fields of positive characteristic is described. Moreover, an investigation regarding their properties by means of the Fourier transform is carried out.

DOI: 10.14232/actasm-018-785-4

AMS Subject Classification (1991): 42C40; 42C15. 43A70, 11S85

Keyword(s): wavelet frame, orthogonality, framelet symbol, polyphase matrix, extension principle, Fourier transform, local field

Received April 9, 2018. (Registered under 35/2018.)