| Publication | Date of Publication | Type |
|---|
| Tractability of approximation by general shallow networks | 2023-08-06 | Paper |
| Local approximation of operators | 2023-03-09 | Paper |
| Numerical solutions to an inverse problem for a non-linear Helmholtz equation | 2023-02-02 | Paper |
| Local approximation of operators | 2022-02-13 | Paper |
| A direct approach for function approximation on data defined manifolds | 2021-12-07 | Paper |
| A low discrepancy sequence on graphs | 2021-09-14 | Paper |
| Cautious active clustering | 2021-06-29 | Paper |
| Data Based Construction of Kernels for Classification | 2020-08-27 | Paper |
| Function approximation by deep networks | 2020-06-26 | Paper |
| An analysis of training and generalization errors in shallow and deep networks | 2020-06-05 | Paper |
| Super-resolution meets machine learning: approximation of measures | 2019-11-21 | Paper |
| Function approximation with zonal function networks with activation functions analogous to the rectified linear unit functions | 2019-03-27 | Paper |
| A unified method for super-resolution recovery and real exponential-sum separation | 2019-01-25 | Paper |
| Approximate Quadrature Measures on Data-Defined Spaces | 2019-01-22 | Paper |
| Stable soft extrapolation of entire functions | 2019-01-14 | Paper |
| Minimum Sobolev norm interpolation of scattered derivative data | 2018-09-20 | Paper |
| A Fourier-invariant method for locating point-masses and computing their attributes | 2018-07-30 | Paper |
| A unified framework for harmonic analysis of functions on directed graphs and changing data | 2018-04-12 | Paper |
| Representation of functions on big data associated with directed graphs | 2017-10-10 | Paper |
| Localized Summability Kernels for Jacobi Expansions | 2017-08-18 | Paper |
| Local Approximation Using Hermite Functions | 2017-08-18 | Paper |
| A minimum Sobolev norm technique for the numerical discretization of PDEs | 2016-12-20 | Paper |
| Deep vs. shallow networks: An approximation theory perspective | 2016-11-30 | Paper |
| Data-driven atomic decomposition via frequency extraction of intrinsic mode functions | 2016-05-18 | Paper |
| Filtered Legendre expansion method for numerical differentiation at the boundary point with application to blood glucose predictions | 2016-04-27 | Paper |
| Signal decomposition and analysis via extraction of frequencies | 2015-12-22 | Paper |
| In memoriam: Hubert A. Berens (1936--2015) | 2015-08-17 | Paper |
| Representation of functions on big data: graphs and trees | 2015-05-04 | Paper |
| Minimum Sobolev norm interpolation with trigonometric polynomials on the torus | 2014-10-23 | Paper |
| Smooth function extension based on high dimensional unstructured data | 2014-09-10 | Paper |
| Applications of classical approximation theory to periodic basis function networks and computational harmonic analysis | 2014-01-31 | Paper |
| Higher order numerical discretizations for exterior and biharmonic type PDEs | 2012-09-06 | Paper |
| On the problem of parameter estimation in exponential sums | 2012-06-26 | Paper |
| Wiener type theorems for Jacobi series with nonnegative coefficients | 2012-04-13 | Paper |
| Marcinkiewicz-Zygmund measures on manifolds | 2011-11-21 | Paper |
| A generalized diffusion frame for parsimonious representation of functions on data defined manifolds | 2011-07-26 | Paper |
| A construction of linear bounded interpolatory operators on the torus | 2010-11-24 | Paper |
| A quadrature formula for diffusion polynomials corresponding to a generalized heat kernel | 2010-10-04 | Paper |
| $L^p$ Bernstein estimates and approximation by spherical basis functions | 2010-08-30 | Paper |
| Eignets for function approximation on manifolds | 2010-07-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3567753 | 2010-06-17 | Paper |
| Localized Linear Polynomial Operators and Quadrature Formulas on the Sphere | 2010-03-24 | Paper |
| MRA contextual-recovery extension of smooth functions on manifolds | 2009-12-15 | Paper |
| On a filter for exponentially localized kernels based on Jacobi polynomials | 2009-12-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3633864 | 2009-06-23 | Paper |
| Polynomial operators for spectral approximation of piecewise analytic functions | 2009-01-08 | Paper |
| Quadrature in Besov spaces on the Euclidean sphere | 2008-01-09 | Paper |
| Matrix-free Interpolation on the Sphere | 2007-06-26 | Paper |
| On the tractability of multivariate integration and approximation by neural networks | 2007-04-30 | Paper |
| Quadrature-free quasi-interpolation on the sphere | 2007-03-16 | Paper |
| Weighted quadrature formulas and approximation by zonal function networks on the sphere | 2006-07-12 | Paper |
| Polynomial operators and local approximation of solutions of pseudo-differential equations on the sphere | 2006-05-26 | Paper |
| On local smoothness classes of periodic functions | 2006-03-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5316359 | 2005-09-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5465291 | 2005-08-22 | Paper |
| On the representation of smooth functions on the sphere using finitely many bits | 2005-06-13 | Paper |
| Polynomial operators and local smoothness classes on the unit interval | 2005-02-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3154839 | 2005-01-14 | Paper |
| Local quadrature formulas on the sphere | 2004-11-23 | Paper |
| When is approximation by Gaussian networks necessarily a linear process? | 2004-11-18 | Paper |
| A tribute to Géza Freud | 2004-06-15 | Paper |
| On the representation of band-dominant functions on the sphere using finitely many bits | 2004-05-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4423826 | 2004-02-04 | Paper |
| A local discrepancy theorem | 2003-06-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4421610 | 2003-01-01 | Paper |
| On the representation of band limited functions using finitely many bits | 2002-09-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2781637 | 2002-09-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2737662 | 2002-08-14 | Paper |
| Approximation with interpolatory constraints | 2002-03-19 | Paper |
| Quasi-interpolation in shift invariant spaces | 2002-03-13 | Paper |
| Polynomial frames on the sphere | 2001-06-19 | Paper |
| Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature | 2001-05-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4513993 | 2001-05-10 | Paper |
| Approximation properties of zonal function networks using scattered data on the sphere | 2000-07-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4490265 | 2000-07-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4938063 | 2000-04-25 | Paper |
| On the detection of singularities of a periodic function | 2000-03-21 | Paper |
| Some discrepancy theorems in the theory of weighted polynomial approximation | 1999-07-27 | Paper |
| Bounded quasi-interpolatory polynomial operators | 1999-02-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4400672 | 1998-11-17 | Paper |
| Degree of approximation by neural and translation networks with a single hidden layer | 1998-04-20 | Paper |
| Neural Networks for Functional Approximation and System Identification | 1997-03-06 | Paper |
| Limitations of the approximation capabilities of neural networks with one hidden layer | 1996-10-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4868351 | 1996-06-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4857769 | 1995-12-06 | Paper |
| A discrepancy theorem concerning polynomials of best approximation in \(L^ p_ w [-1, 1\)] | 1995-11-22 | Paper |
| Approximation properties of a multilayered feedforward artificial neural network | 1995-10-30 | Paper |
| Dimension-independent bounds on the degree of approximation by neural networks | 1995-10-22 | Paper |
| Weighted Polynomial Approximation of Entire Functions on Unbounded Subsets of the Complex Plane | 1995-03-02 | Paper |
| Neural Networks for Localized Approximation | 1994-12-20 | Paper |
| A general discrepancy theorem | 1994-04-24 | Paper |
| On trigonometric wavelets | 1994-01-26 | Paper |
| Hermite interpolation at the zeros of certain Freud-type orthogonal polynomials | 1993-04-01 | Paper |
| On Multivariate Robust Stability | 1993-01-17 | Paper |
| Approximation by superposition of sigmoidal and radial basis functions | 1993-01-17 | Paper |
| Finite-infinite-range inequalities in the complex plane | 1992-06-28 | Paper |
| Weighted analogues of capacity, transfinite diameter, and Chebyshev constant | 1992-06-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3973504 | 1992-06-26 | Paper |
| Weighted polynomials, radial basis functions and potentials on locally compact spaces | 1992-06-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3973503 | 1992-06-26 | Paper |
| Mean Convergence of Expansions in Freud-Type Orthogonal Polynomials | 1992-06-25 | Paper |
| The distribution of zeros of asymptotically extremal polynomials | 1992-06-25 | Paper |
| The convergence of Fourier series and a K-functional | 1991-01-01 | Paper |
| A general study of maximal robust stability regions | 1991-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5758627 | 1990-01-01 | Paper |
| Bounds for certain Freud-type orthogonal polynomials | 1990-01-01 | Paper |
| Approximation in certain intermediate spaces | 1990-01-01 | Paper |
| On the distribution of zeros of polynomials orthogonal on the unit circle | 1990-01-01 | Paper |
| The rate of convergence of expansions in Freud polynomials | 1988-01-01 | Paper |
| A proof of Freud's conjecture for exponential weights | 1988-01-01 | Paper |
| A Quantitative Dirichlet–Jordan Type Theorem for Orthogonal Polynomial Expansions | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3793139 | 1988-01-01 | Paper |
| Where Does the L p -Norm of a Weighted Polynomial Live? | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3803598 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4725087 | 1986-01-01 | Paper |
| Weighted polynomial approximation | 1986-01-01 | Paper |
| Freud’s conjecture for exponential weights | 1986-01-01 | Paper |
| Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials) | 1985-01-01 | Paper |
| A trace theorem for caloric functions | 1985-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3700196 | 1985-01-01 | Paper |
| On the domain of convergence of series in polynomials orthogonal with respect to general weight functions on the whole real line | 1984-01-01 | Paper |
| Extensions of the Dirichlet-Jordan criterion to a general class of orthogonal polynomial expansions | 1984-01-01 | Paper |
| Extremal Problems for Polynomials with Exponential Weights | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3338725 | 1984-01-01 | Paper |
| Weighted polynomials on finite and infinite intervals: a unified approach | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3679678 | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4751143 | 1983-01-01 | Paper |
| On a problem of G. Freud | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3693982 | 1983-01-01 | Paper |
| Weighted polynomial approximation of entire functions. I | 1982-01-01 | Paper |
| Comonotone approximation by splines of piecewise monotone functions | 1982-01-01 | Paper |
| The Rate of Monotone Spline Approximation in the $L_p $-Norm | 1982-01-01 | Paper |
| Weighted polynomial approximation of entire functions. II | 1981-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3663768 | 1980-01-01 | Paper |
