Construction of Banach frames and atomic decompositions of anisotropic Besov spaces
| Autor: | Dimitri Bytchenkoff |
|---|---|
| Přispěvatelé: | Institut für Mathematik [Berlin], Technische Universität Berlin (TU), Laboratoire Énergies et Mécanique Théorique et Appliquée (LEMTA ), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
42B35
46E35 42C15 42C40 Pure mathematics Mathematics::Functional Analysis Applied Mathematics 010102 general mathematics [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA] 01 natural sciences Functional Analysis (math.FA) Mathematics - Functional Analysis Matrix (mathematics) 0103 physical sciences FOS: Mathematics 010307 mathematical physics Decomposition method (constraint satisfaction) 0101 mathematics Anisotropy Expansive ComputingMilieux_MISCELLANEOUS Mathematics |
| Zdroj: | Annali di Matematica Pura ed Applicata Annali di Matematica Pura ed Applicata, Springer Verlag, In press, ⟨10.1007/s10231-020-01040-y⟩ |
| ISSN: | 0373-3114 1618-1891 |
| DOI: | 10.1007/s10231-020-01040-y⟩ |
| Popis: | We construct generalised shift-invariant systems of functions of several real variables for anisotropic Besov spaces that can be generated by the decomposition method using any given expansive matrix and establish the conditions on those systems under which they will constitute Banach frames or sets of atoms for the anisotropic homo- or inhomogeneous Besov spaces. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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