Frame Wavelets of Local Fields with No Dual Wavelet Frames

Article Type

Research Article

Publication Title

Complex Analysis and Operator Theory

Abstract

We construct an example of a frame wavelet in a local field of positive characteristic which has no dual frame wavelet. Further, we show that the corresponding space of negative dilates is shift-invariant.

DOI

https://10.1007/s11785-023-01328-w

Publication Date

3-1-2023

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