Characterization of nonhomogeneous dual wavelet frames in Sobolev spaces

Jianping Zhang, Qiang-Qiang Chang · ScienceAsia · 2021

In recent years, wavelets and wavelet frames have been extensively investigated by many researchers due to their great design freedom and the potential applications in many fields.In this work, we address nonhomogeneous wavelet frames in Sobolev spaces setting, a characterization of nonhomogeneous dual wavelet frames in (H s ( d ), H -s ( d )) is obtained, which generalizes the results of Proposition 2.3 in [Appl Comput Harmon Anal 36 (2014):51-62].

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