Construction of Non-Uniform Parseval Wavelet Frames for L2 (R) via UEP
| Autor: | Hari Krishan Malhotra, Lalit Kumar Vashisht |
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| Rok vydání: | 2019 |
| Předmět: |
Mathematics::Functional Analysis
Pure mathematics Group (mathematics) 010102 general mathematics Frame (networking) Mathematics::Classical Analysis and ODEs Oblique case 010103 numerical & computational mathematics Translation (geometry) 01 natural sciences Unitary state Parseval's theorem Wavelet Standard probability space 0101 mathematics Mathematics |
| Zdroj: | 2019 13th International conference on Sampling Theory and Applications (SampTA). |
| Popis: | We study the construction of non-uniform Parseval wavelet frames for the Lebesgue space L2 (R), where the related translation set is not necessary a group. The unitary extension principle (UEP) and generalized (or oblique) extension principle (OEP) for the construction of multi-generated non-uniform Parseval wavelet frames for L2 (R) are discussed. Some examples are also given to illustrate our results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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