Publications

• Veronique Fischer and Michael Ruzhansky.
  Quantization on nilpotent Lie groups.
  Progress in Mathematics 314, Birkhäuser (557 pages).
  In open access.
  Winner of the Ferran Sunyer i Balaguer Prize in 2014.

• Veronique Fischer, David Rottensteiner and Michael Ruzhansky.
  Heisenberg-modulation spaces at the crossroads of coorbit theory and decomposition space theory.     
  To appear in Journal of Lie Theory.
  Arxiv 1812.07876. 

• Veronique Fischer and Francesca Tripaldi. 

An alternative construction to the Rumin complex on homogeneous nilpotent Lie groups.
Advances in Mathematics, 429 (2023), Paper No. 109192 (39 pages).

Arxiv 2208.11118.

• Clotilde Fermanian-Kammerer, Veronique Fischer and Steven Flynn. 

Some remarks on semi-classical analysis on two-step nilmanifolds. 

Proceedings of IQM22, Milano, Italy. 

Arxiv 2112.11509 

• Clotilde Fermanian-Kammerer, Veronique Fischer and Steven Flynn.
  Geometric invariance of the semi-classical calculus on nilpotent graded Lie groups. 

Journal of Geometric Analysis, 33 (2023), No 4, Paper No 127 (35 pages).
In open access.

• Veronique Fischer.
  Asymptotics and zeta functions on nilmanifolds.
  Journal des Mathématiques Pures et Appliquées, 160 (2022), pp. 1-28 (28 pages).
  Arxiv 2112.01246. 

• Clotilde Fermanian-Kammerer and Veronique Fischer.
  Quantum evolution and sub-Laplacian operators on groups of Heisenberg type.
  Journal of Spectral Theory, 11 (2021), pp 1313-1367 (54 pages).
  Arxiv 1910.14486. 

• Veronique Fischer, Michael Ruzhansky and Chiara Taranto.
  Subelliptic Gevrey spaces.
  Mathematische Nachrichten, 294 (2021), No 2, pp 265-285 (20 pages).
  Arxiv 1805.08667. 

• Veronique Fischer.
  Differential structure on the dual of a compact Lie group.
  Journal of Functional Analysis, 279, No 3, 15 August 2020, 108555 (53 pages).
  Arxiv 1610.06348.

• Veronique Fischer and Michael Ruzhansky.
  Fourier multipliers on graded Lie groups.
  Colloquium Mathematicum, 165 (2021), No 1, pp 1-30 (30 pages).
  Arxiv 1411.6950.

• Veronique Fischer.
  Real trace expansions.
  Documenta Mathematica, 24 (2019) pp 2159-2202 (43 pages).
  In open access.

• Clotilde Fermanian-Kammerer and Veronique Fischer.
  Defect measures on graded Lie groups.
  Annali della Scuola Normale Superiore di Pisa, 21 (2020), No 5, 207-291 (84 pages).
  Arxiv 1707.04002

• Clotilde Fermanian-Kammerer and Veronique Fischer.
  Semi-classical analysis on H-type groups.
  Science China Mathematics, 62 (2019), pp 1057-1086 (29 pages).
  In open access. 

• Veronique Fischer.
  Local and global symbols on compact Lie groups.
  Journal of Pseudo-Differential Operators and Applications, 11 (2020), pp 229-265 (36 pages). 
  In open access. 

• Veronique Fischer, Fulvio Ricci, and Oksana Yakimova.
  Nilpotent Gelfand pairs and Schwartz extensions of spherical transforms via quotient pairs.
  Journal of Functional Analysis, 274 (2018), No 4, pp 1076-1128 (52 pages).
  Arxiv 1706.01390. 

• Veronique Fischer and Michael Ruzhansky.
  Sobolev spaces on graded groups.
  Annales de l'Institut Fourier, 67 (2017), No 4, pp 1671-1723 (52 pages).
  In open access.

• Veronique Fischer.
  Intrinsic pseudo-differential calculus on compact Lie groups.
  Journal of Functional Anaysis, 268 (2015), No 11, pp 3404-3477 (75 pages). 
  Arxiv 1410.1444. 

• Veronique Fischer and Genkai Zhang.
  Principal representations of SO_o (n, n + 1).
  Monatshefte für Mathematik, 176 (2015), No 1, pp 87-105 (18 pages).
  Arxiv 1108.3338. 

• Veronique Fischer.
  The Heisenberg oscillator.
  Bulletin of Mathematical Sciences, 2 (2012), No 1, pp 181-191 (10 pages).
  In open access. 

• Veronique Fischer, Fulvio Ricci, and Oksana Yakimova.
  Nilpotent Gelfand pairs and spherical transforms of Schwartz functions. II. Taylor expansion on singular sets.
  In Lie Groups: Structure, Actions, and Representations, Progress in Mathematics 306, pp 81-112, Birkhäuser, 2013.
  Arxiv 1008.4699

• Veronique Fischer, Fulvio Ricci, and Oksana Yakimova.
  Nilpotent Gelfand pairs and spherical transforms of Schwartz functions. I. Rank-one action on the centre.
  Mathematische Zeitschrifte, 271 (2012), No 1-2, pp 221-255 (34 pages).
  Arxiv 1002.3630. 

• Veronique Fischer and Fulvio Ricci.
  Gelfand transforms of SO(3)-invariant Schwartz functions on the free group N_{3,2}.
  Annales de l'Institut Fourier, 59 (2009), No 6, pp 2143-2168 (45 pages).
  In open access. 

• Veronique Fischer.
  The bounded spherical functions on the free two-step nilpotent Lie group.
  Journal of Lie Theory, 16 (2006), No 2, pp 351-370 (29 pages).
  In open access. 

• Veronique Fischer.
  The spherical maximal function on the free two-step nilpotent Lie group.
  Mathematica Scandinavica, 99 (2006), No 1, pp 99-118 (19 pages).
  In open access. 

• Veronique Fischer.    

Quantum Limit for Sub-Elliptic Operators. 

In the Oberwolfach report for Hypoelliptic Operators in Geometry, 21-26 May 2023.

• Veronique Fischer.
  Towards semi-classical analysis for sub-elliptic operators.
  Bruno Pini Mathematical Analysis Seminar, 12 (2021), pp 31-52.
  In open access.

• Veronique Fischer and Michael Ruzhansky.
  A pseudo-differential calculus on the Heisenberg group.
  Comptes Rendus Mathématiques de l'Académie des Sciences de Paris, 352 (2014), No 3, pp 197-204.
  Arxiv 1209.2621

• Veronique Fischer and Michael Ruzhansky.
  Pseudo-differential operators on nilpotent Lie groups.
  In Fourier Analysis: Pseudo-differential Operators, Time-Frequency Analysis and Partial Differential Equations, Trends in Mathematics, pp 107-132, Birkhäuser, 2014.
  Arxiv 1209.2621 

• Veronique Fischer and Michael Ruzhansky.
  Lower bounds for operators on graded Lie groups.
  Comptes Rendus Mathématiques de l'Académie des Sciences de Paris, 351 (2013), No 1-2, pp 13-18.
  Arxiv 1301.0642.

• Veronique Fischer and Francesca Tripaldi.
  Subcomplexes on filtered manifolds.
  Arxiv 2312.02342

• Lino Benedetto, Clotilde Fermanian-Kammerer and Veronique Fischer.
  Quantization on Groups and Garding inequality.
  Arxiv 2307.15352

• Veronique Fischer.
  Semiclassical analysis on compact nilmanifolds.
  Arxiv 2101.07027. 

• Veronique Fischer, Fulvio Ricci and Oksana Yakimova.
  Nilpotent Gelfand pairs and spherical transforms of Schwartz functions III.
  Arxiv 1210.7962.

Etude de deux classes de groupes nilpotents de pas deux. 2004, Université d'Orsay Paris-Sud XI.

Arxiv 0810.4173