Wavelets in Sobolev space over local fields of positive characteristics. (English) Zbl 1392.42033
Summary: The Sobolev space over local fields \(H^s(\mathbb K)\) is defined. A multiresolution analysis for the Sobolev space is developed. Orthonormal wavelets with respect to these spaces are constructed and an example is also presented.
MSC:
| 42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
| 46E35 | Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems |
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