A characterization of multi-wavelet dual frames in Sobolev spaces. (English) Zbl 1436.42039
Summary: For the past few years, wavelet and multi-wavelet frames have attracted interest from researchers. In this paper, we address some of these problems in the setting of the Sobolev space, and characterize multi-wavelet dual frames in these spaces by using a pair of equations.
MSC:
| 42C15 | General harmonic expansions, frames |
| 42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
| 46E35 | Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems |
Keywords:
multi-wavelet framesReferences:
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