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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
Books
The Wigner Transform, Advanced Textbooks in Mathematics, World Scientific, p. 252, (2017). ISBN: 978-1-78634-308-6 (hardcover), ISBN: 978-1-78634-309-3 (softcover)
Journal Articles
Metaplectic Formulation of the Wigner Transform and Applications, Rev. Math. Phys. 25(10), 1343010, (2013) [with N. Dias and J. Prata]
Maximal covariance group of Wigner transforms and pseudo-differential operators, Proc. Amer. Math. Soc. 142(9), 3183-3192 (2014) [with N. Dias and J. Prata]
Weak values of a quantum observable and the cross-Wigner distribution, Phys. Lett. A 376(4), 293-296 (2012) [with S. de Gosson]
On the Transformation Properties of the Wigner Function Under Hamiltonian Symplectomorphisms. J. Pseudo-Differ. Oper. Appl. 2(1) (2011)
Cellules quantiques symplectiques et fonctions de Husimi-Wigner, Bull. Sci. Math. 129 (2005)
Affiliation(s)
- Senior Researcher, Department of Mathematics, University of Vienna, Austria