Reproducing kernel Hilbert spaces and fractal interpolation

DOI10.1016/j.cam.2011.02.003zbMath1226.65009OpenAlexW2096684167MaRDI QIDQ534226

P. Bouboulis, M. Mavroforakis

Publication date: 17 May 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.02.003

zbMATH Keywords

reproducing kernel Hilbert spacefractal interpolation

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Approximation by other special function classes (41A30)

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Cites Work

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• The calculus of fractal interpolation functions
• Fractal functions and interpolation
• Recurrent iterated function systems
• Multiresolution analyses based on fractal functions
• Generalization of Hermite functions by fractal interpolation
• Construction of recurrent bivariate fractal interpolation surfaces and computation of their box-counting dimension
• A general construction of fractal interpolation functions on grids of ⁿ
• Iterated function systems and the global construction of fractals
• Construction of orthogonal multi-wavelets using generalized-affine fractal interpolation functions
• Generalized Cubic Spline Fractal Interpolation Functions
• RKHS approach to detection and estimation problems--I: Deterministic signals in Gaussian noise
• An RKHS approach to detection and estimation problems-- III: Generalized innovations representations and a likelihood-ratio formula
• Some relations among RKHS norms, Fredholm equations, and innovations representations
• Theory of Reproducing Kernels

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