Bases In Some Spaces Of Whitney Functions
| Autor: | Zeliha Ural, Alexander Goncharov |
|---|---|
| Přispěvatelé: | Goncharov, Alexander, Ural, Zeliha |
| Rok vydání: | 2018 |
| Předmět: |
Polynomial
Pure mathematics Control and Optimization Algebra and Number Theory 28A80 Basis (linear algebra) 010102 general mathematics Construct (python library) Extension (predicate logic) Extension problem Space (mathematics) 01 natural sciences extension problem topological bases Operator (computer programming) Whitney spaces Topological bases 0103 physical sciences 010307 mathematical physics 0101 mathematics 46A35 46E10 Analysis Mathematics |
| Zdroj: | Annals of Functional Analysis Ann. Funct. Anal. 9, no. 1 (2018), 56-71 |
| Popis: | We construct topological bases in spaces of Whitney functions on Cantor sets, which were introduced by the first author. By means of suitable individual extensions of basis elements, we construct a linear continuous exten- sion operator, when it exists for the corresponding space. In general, elements of the basis are restrictions of polynomials to certain subsets. In the case of small sets, we can present strict polynomial bases as well. |
| Databáze: | OpenAIRE |
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