Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers / Lecture Notes in Mathematics Bd.2304 (PDF)
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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 Lp. In the works of Lust-Piquard (1998) and Junge, Mei and Parcet (2018), it became apparent that these Lp operations can be formulated on Lp 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 Lp spaces and analysts interested in the construction of Riesz transforms and Hodge-Dirac operators.
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 Lp espaces and operator spaces.
- Autoren: Cédric Arhancet , Christoph Kriegler
- 2022, 1st ed. 2022, 280 Seiten, Englisch
- Verlag: Springer International Publishing
- ISBN-10: 3030990117
- ISBN-13: 9783030990114
- Erscheinungsdatum: 05.05.2022
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