On p-adic tight wavelet frames

نویسندگان

چکیده

We propose a simple method to constructing step mask and corresponding wavelet functions that generate tight frames on the field Qp of p-adic numbers. To construct this we use three new ideas. First, consider only an additive group Qp. Second, special tree. Thirdly, do not principle unitary extension, Pontryagin's duality instead. Using method, obtain all refinable functions.

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2023

ISSN: ['0022-247X', '1096-0813']

DOI: https://doi.org/10.1016/j.jmaa.2023.127372