A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces

Abstract

Abstract In recent years, nonhomogeneous wavelet frames have attracted some mathematicians’ interest. This paper investigates such problems in a Sobolev space setting. A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces pairs is obtained.

Keywords

• Bessel sequence
• frame
• nonhomogeneous wavelet dual frame
• Sobolev spaces