Algebraic genericity and the differentiability of the convolution
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Publication:1734619
DOI10.1016/j.jat.2019.01.002zbMath1417.42009OpenAlexW2912012841WikidataQ128549762 ScholiaQ128549762MaRDI QIDQ1734619
Pablo Jiménez-Rodríguez, Gustavo A. Muñoz-Fernández, Eva Sáez-Maestro, Juan B. Seoane-Sepúlveda
Publication date: 27 March 2019
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2019.01.002
Convolution, factorization for one variable harmonic analysis (42A85) Vector spaces, linear dependence, rank, lineability (15A03) Differentiability questions for infinite-dimensional manifolds (58B10)
Related Items (4)
Algebraic genericity and special properties within sequence spaces and series ⋮ The convolution square of a differentiable function need not be differentiable ⋮ Unnamed Item ⋮ Non-differentiability of the convolution of differentiable real functions
Cites Work
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- Locally recurrent functions, density topologies and algebraic genericity
- Banach-Steinhaus theory revisited: lineability and spaceability
- The convolution of two differentiable functions on the circle need not be differentiable
- On functions that are almost continuous and perfectly everywhere surjective but not Jones. Lineability and additivity
- A note on latticeability and algebrability
- Generalized universal series
- Algebras of measurable extendable functions of maximal cardinality
- Convolution functions that are nowhere differentiable
- Lineability of non-differentiable Pettis primitives
- Spaceability and strong divergence of the Shannon sampling series and applications
- Lineability within probability theory settings
- Basic sequences and spaceability in \(\ell_p\) spaces
- Lineability criteria, with applications
- Bounded linear non-absolutely summing operators
- Linear subsets of nonlinear sets in topological vector spaces
- Lineability
- Cardinal coefficients related to surjectivity, Darboux, and Sierpiński-Zygmund maps
- Differentiability versus continuity: Restriction and extension theorems and monstrous examples
- Lineability and spaceability of sets of functions on $\mathbb {R}$
- Self-similar functions, fractals and algebraic genericity
- Some results and open questions on spaceability in function spaces
- Sur le produit de composition de deux fonctions continues
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