Over the course of a scientific career spanning more than fifty years, Alex Grossmann (1930-2019) made many important contributions to a wide range of areas including, among others, mathematics, numerical analysis, physics, genetics, and biology. His lasting influence can be seen not only in his research and numerous publications, but also through the relationships he cultivated with his collaborators and students. This edited volume features chapters written by some of these colleagues, as well as researchers whom Grossmann's work and way of thinking has impacted in a decisive way. Reflecting the diversity of his interests and their interdisciplinary nature, these chapters explore a variety of current topics in quantum mechanics, elementary particles, and theoretical physics; wavelets and mathematical analysis; and genomics and biology. A scientific biography of Grossmann, along with a more personal biography written by his son, serve as an introduction. Also included are the introduction to his PhD thesis and an unpublished paper coauthored by him. Researchers working in any of the fields listed above will find this volume to be an insightful and informative work.

Klappentext

Alex Grossmann (1930-2019) carried out pioneering work on wavelet analysis with Jean Morlet, demonstrating its applicability to signal processing. Grossmann subsequently made significant contributions to mathematics, physics, computer science, and biology. This contributed volume features chapters written by collaborators of Grossmann and researchers whom he influenced in a decisive way. Just as Grossmann's work spanned numerous subjects, so do the chapters here, with a focus on theoretical physics, wavelets and mathematical analysis, and theoretical biology and genetics. Serving as an introduction to the volume are a scientific biography of Grossmann, as well as a more personal biography written by his son. Readers from any of the fields on which Grossmann had an impact will find this an insightful and informative work.

Inhalt

Thiery, A Scientific Biography of Alex Grossmann.- Grossmann, A Personal Look at his Life and Legacy.- Alaifari, Ill-Posed Problems: From Linear to Non-Linear and Beyond.- Maurer, Concentration Inequalities.- De Vito, Rosasco, Rudi, Regularization and Large Scale Machine Learning.- Bartolucci, De Mari, Monti, Unitarization of the Radon Transform on Symmetric Spaces.- Salzo, Villa, Proximal Gradient Methods for Machine Learning and Imaging.