Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers
Cedric / Kriegler Arhancet
Résumé
The theory described in this book has at its foundation one of the great discoveries in analysis of the twentieth century: the continuity of the Hilbert and Riesz transforms on L p . In the works of Lust-Piquard (1998) and Junge, Mei and Parcet (2018), it became apparent that these L p operations can be formulated on L p spaces associated with groups. Continuing these lines of research, the book provides a self-contained introduction to the requisite noncommutative background.
Covering an active and exciting topic which has numerous connections with recent developments in noncommutative harmonic analysis, the book will be of interest both to experts in no-commutative L p spaces and analysts interested in the construction of Riesz transforms and Hodge-Dirac operators.
Cedric Arhancet is a French mathematician working in the preparatory cycle for engineering schools at Lycee Laperouse (France). He works in several areas of functional analysis including noncommutative L p -spaces, Fourier multipliers, semigroups of operators and noncommutative geometry. More recently, he has connected his research to Quantum Information Theory.
Christoph Kriegler is a German-French mathematician working at Universit Clermont Auvergne, France. His research interests lie in harmonic and functional analysis. In particular, he works on functional calculus for sectorial operators, and spectral multipliers in connection with geometry of Banach spaces on the one hand, and on the other hand on noncommutative L p espaces and operator spaces.
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | Cedric / Kriegler Arhancet |
| Parution | 05/05/2022 |
| Nb. de pages | 280 |
| EAN13 | 9783030990107 |
Avantages Eyrolles.com
Consultez aussi
- Les meilleures ventes en Graphisme & Photo
- Les meilleures ventes en Informatique
- Les meilleures ventes en Construction
- Les meilleures ventes en Entreprise & Droit
- Les meilleures ventes en Sciences
- Les meilleures ventes en Littérature
- Les meilleures ventes en Arts & Loisirs
- Les meilleures ventes en Vie pratique
- Les meilleures ventes en Voyage et Tourisme
- Les meilleures ventes en BD et Jeunesse
