2025
- Approximation with fractal radial basis functions. Journal of Computational and Applied Mathematics 454, 2025, 116200 mehr… Volltext ( DOI )
2024
- An integral RB operator. Journal of Fixed Point Theory and Applications 26 (4), 2024 mehr… Volltext ( DOI )
- Shape preserving fractal multiquadric quasi-interpolation. Computational and Applied Mathematics 43 (5), 2024 mehr… Volltext ( DOI )
- Fractal Multiquadric Interpolation Functions. SIAM Journal on Numerical Analysis 62 (5), 2024, 2349-2369 mehr… Volltext ( DOI )
- Fractal interpolation over curves. Contemporary Mathematics 797, 2024, 61--73 mehr… Volltext ( DOI )
- Complex Box Splines. Constructive Approximation, 2024 mehr… Volltext ( DOI )
2023
- Systems of left translates and oblique duals on the Heisenberg group. Constructive Mathematical Analysis, 2023, 222-236 mehr… Volltext ( DOI )
- Multivariate Zipper Fractal Functions. Numerical Functional Analysis and Optimization, 2023, 1-32 mehr… Volltext ( DOI )
- Fractal hypersurfaces, affine Weyl groups, and wavelet sets. The Journal of Analysis, 2023 mehr… Volltext ( DOI )
2022
- Twisted B-splines in the complex plane. Applied and Computational Harmonic Analysis 56, 2022, 250-282 mehr… Volltext ( DOI )
- Approximation by Quantum Meyer-König-Zeller Fractal Functions. Fractal and Fractional 6 (12), 2022, 704 mehr… Volltext ( DOI )
- Fractal interpolation over nonlinear partitions. Chaos, Solitons & Fractals 162, 2022, 112503 mehr… Volltext ( DOI )
- Fractal interpolation: From global to local, to non-stationary and quaternionic. In: Frontiers of Fractal Analysis: Recent Advances and Challenges. CRS Press, 2022 mehr…
- Dimension preserving approximation. Aequationes mathematicae 96 (6), 2022, 1233-1247 mehr… Volltext ( DOI )
2021
- Interpolation and Sampling with Exponential Splines of Real Order. Results in Mathematics 76 (3), 2021 mehr… Volltext ( DOI )
2020
- On the mathematical validity of the Higuchi method. Physica D: Nonlinear Phenomena 402, 2020, 132265 mehr… Volltext ( DOI )
- Splines and fractional differential operators. International Journal of Wavelets, Multiresolution and Information Processing 20 (03), 2020 mehr… Volltext ( DOI )
2019
- Local Average Sampling and Reconstruction with Fundamental Splines of Fractional Order. Numerical Functional Analysis and Optimization 40 (10), 2019, 1215-1229 mehr… Volltext ( DOI )
- Attractors of trees of maps and of sequences of maps between spaces with applications to subdivision. Journal of Fixed Point Theory and Applications 22 (1), 2019 mehr… Volltext ( DOI )
- Quaternionic Fundamental Cardinal Splines: Interpolation and Sampling. Complex Analysis and Operator Theory 13 (7), 2019, 3373-3403 mehr… Volltext ( DOI )
- Non-Stationary Fractal Interpolation. Mathematics 7 (8), 2019, 666 mehr… Volltext ( DOI )
- Non-Stationary Fractal Interpolation. Mathematics 7 (8), 2019, 666 mehr… Volltext ( DOI )
- Fractal Convolution: A New Operation Between Functions. Fractional Calculus and Applied Analysis 22 (3), 2019, 619-643 mehr… Volltext ( DOI )
- On some generalizations of B-splines. Monografías Matemáticas García de Galdeano (42), 2019, 203--217 mehr…
2018
- Local Fractal Interpolation on Unbounded Domains. Proceedings of the Edinburgh Mathematical Society 61 (1), 2018, 151-167 mehr… Volltext ( DOI )
2017
- Quaternionic B-splines. Journal of Approximation Theory 224, 2017, 43-65 mehr… Volltext ( DOI )
- Fractional cone and hex splines. Rocky Mountain Journal of Mathematics 47 (5), 2017 mehr… Volltext ( DOI )
- Fractional and complex pseudo-splines and the construction of Parseval frames. Applied Mathematics and Computation 314, 2017, 12-24 mehr… Volltext ( DOI )
- Signal analysis based on complex wavelet signs. Applied and Computational Harmonic Analysis 42 (2), 2017, 199-223 mehr… Volltext ( DOI )
2016
- A new method to measure complexity in binary or weighted networks and applications to functional connectivity in the human brain. BMC Bioinformatics 17 (1), 2016 mehr… Volltext ( DOI )
- On local fractal functions in Besov and Triebel–Lizorkin spaces. Journal of Mathematical Analysis and Applications 436 (1), 2016, 393-407 mehr… Volltext ( DOI )
- Multigrid Convergence for the MDCA Curvature Estimator. Journal of Mathematical Imaging and Vision 57 (3), 2016, 423-438 mehr… Volltext ( DOI )
2015
- Bilinear fractal interpolation and box dimension. Journal of Approximation Theory 192, 2015, 362-378 mehr… Volltext ( DOI )
- DIRECTIONAL TIME–FREQUENCY ANALYSIS VIA CONTINUOUS FRAMES. Bulletin of the Australian Mathematical Society 92 (2), 2015, 268-281 mehr… Volltext ( DOI )
- On the Invalidity of Fourier Series Expansions of Fractional Order. Fractional Calculus and Applied Analysis 18 (6), 2015, 1507-1517 mehr… Volltext ( DOI )
2014
- Exponential splines of complex order. Contemporary Mathematics (626), 2014, 87--105 mehr… Volltext ( DOI )
2013
- Complex B-splines and Hurwitz zeta functions. LMS Journal of Computation and Mathematics 16, 2013, 61-77 mehr… Volltext ( DOI )
2012
- Periodic Splines of Complex Order. Numerical Functional Analysis and Optimization 33 (7-9), 2012, 989-1004 mehr… Volltext ( DOI )
- Moments of complex B-splines. Commun. Math. Anal. (12(2)), 2012, 58--70 mehr…
2011
- Splines of complex order: Fourier, filter, and fractional derivatives. Sampling Theory in Signal and Image Analysis (10(1--2)), 2011, 89--109 mehr…
- Short Communication: Multivariate Interpolation with Fundamental Splines of Fractional Order. Proc. Appl. Math. Mech. (11), 2011, 857--858 mehr…
- Exponential B-splines and the partition of unity property. Advances in Computational Mathematics 37 (3), 2011, 301-318 mehr… Volltext ( DOI )
2010
- Isotropic wavelet frames based on the Riesz transform. IEEE Transactions on Image Processing 19(3), 2010, 653--667 mehr…
- Steerable Wavelet Frames Based on the Riesz Transform. IEEE Transactions on Image Processing 19 (3), 2010, 653-667 mehr… Volltext ( DOI )
- Multivariate complex B-splines and Dirichlet averages. Journal of Approximation Theory 162 (2), 2010, 252-269 mehr… Volltext ( DOI )
- Multivariate complex B-splines and Dirichlet averages. Journal of Approximation Theory 162 (2), 2010, 252-269 mehr… Volltext ( DOI )
2009
- Three-Way Tiling Sets in Two Dimensions. Acta Applicandae Mathematicae 108 (3), 2009, 529-546 mehr… Volltext ( DOI )
2008
- Some remarks about the connection between fractional divided differences, fractional B-splines, and the Hermite-Genocchi formula. International Journal of Wavelets, Multiresolution and Information Processing 6(2), 2008, 279--290 mehr…
- Coxeter groups and wavelets sets. Contemp. Math. 451, 2008, 187--218 mehr…
- Statistical Encounters with Complex B-Splines. Constructive Approximation 29 (3), 2008, 325-344 mehr… Volltext ( DOI )
1998
1997
- Fractal functions and their applications. Chaos, Solitons, and Fractals (8(2)), 1997, 171--190 mehr…
1996
- On the support properties of scaling vectors. Appl. Comp. Harmon. Anal. (3), 1996, 229--238 mehr…
- Construction of orthogonal wavelets using fractal interpolation functions. SIAM J. Math. Anal. (27(4)), 1996, 1158--1192 mehr…
- A Characterization of solutions to a radially perturbed Laplace equation in the unit $n$-ball. J. Math. Anal. and Appl. (199), 1996, 728--747 mehr…
1994
- Characterization of all solutions to a perturbed Laplace equation II. Rocky Mountain J. Math. (24(2)), 1994, 549--562 mehr…
- Fractal surfaces, multiresolution analyses, and wavelet transforms. NATO ASI Series F (106), 1994, 275--290 mehr…
- Fractal functions and wavelets expansions based on several scaling functions. J. Approx. Th (78(3)), 1994, 373--401 mehr…
- An application of Coxeter groups to the construction of wavelet bases in $\mathbb{R}^n$. Lecture Notes in Pure and Applied Mathematics: Fourier Analysis - Analytic and Geometric Theory, 1994, 187--196 mehr…
1993
- Fractal interpolation functions from $\mathbb{R}^n$ to $\mathbb{R}^m$ and their projections. Zeitschrift für Analysis u. i. Anwend. (12), 1993, 535--548 mehr…
- Smooth interpolating curves and surfaces generated by iterated function systems. Zeitschrift für Analysis u. i. Anwend. (12), 1993, 201--210 mehr…
1992
- The exact Hausdorff dimension for a class of fractal functions. J. Math. Anal. and Appl. (168), 1992, 171--183 mehr…
1991
- Vector-valued fractal interpolation functions and their box dimension. Aequationes Mathematicae (42), 1991, 1--22 mehr…
1990
- Fractal surfaces. J. Math. Anal. and Appl. (151(1)), 1990, 275--290 mehr…
1989
1987
1986
- The capacity for a class of fractal functions. Commun. Math. Phys. (105), 1986, 455--460 mehr…