### Table of Contents

# Maurice de Gosson

## Biography

I am an Austrian mathematician and mathematical physicist. I work at the University of Vienna.

I was born in Berlin but I grew up mainly in France. I am married with Charlyne since 1970 (we met in Nice in 1969) and we have four children; Serge, Corinne, Samantha, and Sven. My mother was from Helsinki in Finland and my father from Vienna; he left Austria a few days before the Anschluss. My parents met in France while studying French at the University; they married after the war in the lovely city of Saint Tropez on the French Riviera. I grew up in Berlin, and at the age of 6 I moved to France, first to Nice and then to Paris. I got my “Baccalauréat” at the Lycée de Saint Cloud near Paris. I then went back to Nice to study mathematics. I got my PhD at the University of Nice in 1978 under the supervision of Jacques Chazarain. In 1992 I obtained a “Habilitation à Diriger des Recherches en Mathématiques Pures” at the University of Paris 6 under the mentorship of Jean Leray, who was to become a friend. See the genealogy project http://genealogy.math.ndsu.nodak.edu/html/id.phtml?id=38471

Broadly speaking my research interests lie in Analysis, Geometry, and their applications to mathematical physics. A more precise and technical definition of me as a mathematician would be “works in symplectic harmonic analysis”.

Some of my hobbies: epistemological and ontological questions in quantum mechanics. Dining out and enjoying good company.

## Wigner-specific research

(selection)

### Books

- Maurice de Gosson, The Wigner Transform, Advanced Textbooks in Mathematics (World Scientific, 2017)

### Journal Articles

- Nuno Costa Dias, Maurice de Gosson, and João Nuno Prata, Maximal covariance group of Wigner transforms and pseudo-differential operators, Proc. Amer. Math. Soc.
**142**, 3183 (2014) - Nuno Costa Dias, Maurice de Gosson, and João Nuno Prata, Metaplectic formulation of the Wigner transform and applications, Rev. Math. Phys.
**25**, 1343010 (2013) - Nuno Costa Dias, Maurice de Gosson, Franz Luef, and João Nuno Prata, Quantum Mechanics in Phase Space: The Schrodinger and the Moyal Representations, J. Pseudodiff. Oper. Appl.
**3**, 367 (2012) - Maurice de Gosson and Serge M. de Gosson, Weak values of a quantum observable and the cross-Wigner distribution, Phys. Lett. A
**376**, 293 (2012) - Nuno Costa Dias, Maurice de Gosson, Franz Luef, and João Nuno Prata, A Pseudo-Differential Calculus on Non-Standard Symplectic Space; Spectral and Regularity Results in Modulation Spaces, J. Math. Pur. Appl.
**96**, 423 (2011) - Maurice de Gosson, A transformation property of the Wigner distribution under Hamiltonian symplectomorphisms, J. Pseudo-Differ. Oper. Appl.
**2**, 91 (2011) - Nuno Costa Dias, Maurice de Gosson, Franz Luef, and João Nuno Prata, A Deformation Quantization Theory for Noncommutative Quantum Mechanics, J. Math. Phys.
**51**, 072101 (2010) - Maurice de Gosson, Cellules quantiques symplectiques et fonctions de Husimi-Wigner, Bull. Sci. Math.
**129**, 211 (2005)

## Affiliation(s)

- Senior Researcher, Department of Mathematics, University of Vienna, Austria