Error Estimates for Multiquadric Interpolation. - Martin D. Buhmann; Nira Dyn (Curves and Surfaces, 1991)

Pre-Wavelets on Scattered Knots and from Radial Function Spaces: A Review. - Martin D. Buhmann (IMA Conference on the Mathematics of Surfaces, 1994)

Approximation theory and optimization - tributes to M. J. D. Powell. - Martin D. Buhmann; Arieh Iserles (Cambridge University Press, 1997)

Box Spline Prewavelets of Small Support. - Martin D. Buhmann; Oleg Davydov; Tim N. T. Goodman (J. Approx. Theory, 2001)

A new class of radial basis functions with compact support. - Martin D. Buhmann (Math. Comput., 2001)

Cubic Spline Prewavelets on the Four-Directional Mesh. - Martin D. Buhmann; Oleg Davydov; Tim N. T. Goodman (Found. Comput. Math., 2003)

Semi-infinite cardinal interpolation with multiquadrics and beyond. - Martin D. Buhmann (Adv. Comput. Math., 2006)

Half-plane approximation with radial functions. - Martin D. Buhmann (Comput. Math. Appl., 2006)

Preface. - Martin D. Buhmann; Juan Manuel Peña 001 (J. Approx. Theory, 2006)

Radial Basis Functions - Theory and Implementations. - Martin D. Buhmann (Cambridge University Press, 2009)

Preface. - Martin D. Buhmann; Kurt Jetter (J. Approx. Theory, 2010)

Radial basis function. - Martin D. Buhmann (Scholarpedia, 2010)

Radial Basis Function Networks. - Martin D. Buhmann (Encyclopedia of Machine Learning, 2010)

Pointwise approximation with quasi-interpolation by radial basis functions. - Martin D. Buhmann; Feng Dai (J. Approx. Theory, 2015)

Error bounds for multiquadrics without added constants. - Martin D. Buhmann; Oleg Davydov (J. Approx. Theory, 2017)

Radial Basis Function Networks. - Martin D. Buhmann (Encyclopedia of Machine Learning and Data Mining, 2017)

Preface. - Elena E. Berdysheva; Martin D. Buhmann; Oleg Davydov (J. Approx. Theory, 2019)

Michael J.D. Powell's work in approximation theory and optimisation. - Martin D. Buhmann (J. Approx. Theory, 2019)

Discretization on high-dimensional domains. - Martin D. Buhmann; Feng Dai; Yeli Niu (CoRR, 2020)

Multiply monotone functions for radial basis function interpolation: Extensions and new kernels. - Martin D. Buhmann; Janin Jäger (J. Approx. Theory, 2020)

Pólya-type criteria for conditional strict positive definiteness of functions on spheres. - Martin D. Buhmann; Janin Jäger (J. Approx. Theory, 2020)

Implementing and modifying Broyden class updates for large scale optimization. - Martin D. Buhmann; Dirk Siegel (Comput. Optim. Appl., 2021)

Strict positive definiteness of convolutional and axially symmetric kernels on d-dimensional spheres. - Martin D. Buhmann; Janin Jäger (CoRR, 2021)

Positive definite functions on a regular domain. - Martin D. Buhmann; Yuan Xu (CoRR, 2022)

High Accuracy Quasi-Interpolation using a new class of generalized Multiquadrics. - Mathis Ortmann; Martin D. Buhmann (CoRR, 2023)

On Quasi-Interpolation and their associated shift-invariant space using a new class of generalized Thin Plate Splines and Inverse Multiquadrics. - Mathis Ortmann; Martin D. Buhmann (CoRR, 2024)

Compression using Quasi-Interpolation. - Martin D. Buhmann; Feng Dai (CoRR, 2024)

New methods for quasi-interpolation approximations: Resolution of odd-degree singularities. - Martin D. Buhmann; Janin Jäger; Joaquín Jódar; Miguel Luis Rodríguez (Math. Comput. Simul., 2024)

Hyperbolic trigonometric functions as approximation kernels and their properties I: generalised Fourier transforms. - Martin D. Buhmann; Joaquín Jódar; Miguel Luis Rodríguez (CoRR, 2025)