Analysis of Profile Functions for General Linear Regularization Methods. - Bernd Hofmann 001; Peter Mathé (SIAM J. Numer. Anal., 2007)

Direct and inverse results in variable Hilbert scales. - Peter Mathé; Bernd Hofmann 001 (J. Approx. Theory, 2008)

Regularization Methods in Banach Spaces. - Thomas Schuster; Barbara Kaltenbacher; Bernd Hofmann 001; Kamil S. Kazimierski (de Gruyter, 2012)

The index function and Tikhonov regularization for ill-posed problems. - Jin Cheng 003; Bernd Hofmann 001; Shuai Lu (J. Comput. Appl. Math., 2014)

On ℓ1-Regularization in Light of Nashed's Ill-Posedness Concept. - Jens Flemming; Bernd Hofmann 001; Ivan Veselic (Comput. Methods Appl. Math., 2015)

Regularization Methods for Ill-Posed Problems. - Jin Cheng 003; Bernd Hofmann 001 (Handbook of Mathematical Methods in Imaging, 2015)

Optimal rates for Lavrentiev regularization with adjoint source conditions. - Robert Plato; Peter Mathé; Bernd Hofmann 001 (Math. Comput., 2018)

Convergence results and low order rates for nonlinear Tikhonov regularization with oversmoothing penalty term. - Bernd Hofmann 001; Robert Plato (CoRR, 2019)

A Regularized Variational Inequality Approach for Nonlinear Monotone Ill-Posed Equations. - Robert Plato; Bernd Hofmann 001 (J. Optim. Theory Appl., 2019)

Nonlinear Tikhonov regularization in Hilbert scales with oversmoothing penalty: inspecting balancing principles. - Bernd Hofmann 001; Christopher Hofmann; Peter Mathé; Robert Plato (CoRR, 2020)

The Hausdorff Moment Problem in the light of ill-posedness of type I. - Daniel Gerth; Bernd Hofmann 001; Christopher Hofmann; Stefan Kindermann 001 (CoRR, 2021)

The degree of ill-posedness of composite linear ill-posed problems with focus on the impact of the non-compact Hausdorff moment operator. - Bernd Hofmann 001; Peter Mathé (CoRR, 2021)

Variational regularization with oversmoothing penalty term in Banach spaces. - Robert Plato; Bernd Hofmann 001 (CoRR, 2022)

Open questions asked to analysis and numerics concerning the Hausdorff moment problem. - Daniel Gerth; Bernd Hofmann 001 (CoRR, 2022)

New results for variational regularization with oversmoothing penalty term in Banach spaces. - Bernd Hofmann 001; Chantal Klinkhammer; Robert Plato (CoRR, 2023)

Comparing the ill-posedness for linear operators in Hilbert spaces. - Peter Mathé; Bernd Hofmann 001 (CoRR, 2024)

Tractability of linear ill-posed problems in Hilbert space. - Peter Mathé; Bernd Hofmann 001 (J. Complex., 2024)