A Fractal Operator on Some Standard Spaces of Functions

DOI10.1017/S0013091516000316zbMath1408.28018arXiv1505.05066OpenAlexW2963161024MaRDI QIDQ5357217

Puthan Veedu Viswanathan, M. A. Navascués

Publication date: 14 September 2017

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.05066

zbMATH Keywords

Schauder basisfunction spacesfractal functionfractal operator

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Fractals (28A80) Real-valued functions on manifolds (58C05)

Related Items (12)

Concerning the vector-valued fractal interpolation functions on the Sierpiński gasket ⋮ Certain analytic formulas linked to locally fractional differential and integral operators ⋮ Non-stationary \(\alpha \)-fractal functions and their dimensions in various function spaces ⋮ Some elementary properties of Bernstein-Kantorovich operators on mixed norm Lebesgue spaces and their implications in fractal approximation ⋮ Parameter Identification for a Class of Bivariate Fractal Interpolation Functions and Constrained Approximation ⋮ Convolved fractal bases and frames ⋮ Perturbation of linear operators on Banach spaces: some applications to Schauder bases and frames ⋮ Some properties of the fractal convolution of functions ⋮ Bases of Banach and Hilbert spaces transformed by linear operators ⋮ Multivariate fractal interpolation functions: some approximation aspects and an associated fractal interpolation operator ⋮ More general fractal functions on the sphere ⋮ Fractal Sobolev systems of functions associated with orthonormal systems of functions

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