Article
Hausdorff and Box dimensions of continuous functions and lineability
Author/s | Bonilla Ramírez, Antonio Lorenzo
Muñoz Fernández, Gustavo Adolfo Prado Bassas, José Antonio Seoane Sepúlveda, Juan Benigno |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2019-05 |
Deposit Date | 2019-05-14 |
Published in |
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Abstract | Given s ∈ (1, 2], we study (among other questions) the algebraic genericity of the set of continuous functions f : [0, 1] → R whose graph has Hausdorff (or Box) dimension exactly s. |
Project ID. | MTM2016-75963-P
FQM-127 P08-FQM03543 MTM2015-65242-C2-1-P MTM2015-65825-P |
Citation | Bonilla Ramírez, A.L., Muñoz Fernández, G.A., Prado Bassas, J.A. y Seoane Sepúlveda, J.B. (2019). Hausdorff and Box dimensions of continuous functions and lineability. Linear and Multilinear Algebra, 1-14. |
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