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math.FA2023
Quantization on Groups and Garding inequality
Lino Benedetto, Clotilde Fermanian Kammerer, Véronique Fischer
In this paper, we introduce Wick's quantization on groups and discuss its links with Kohn-Nirenberg's. By quantization, we mean an operation that associates an operator to a symbol…
math.AP2023
Asymptotic initial value representation of the solutions of semi-classical systems presenting smooth codimension one crossings
Clotilde Fermanian Kammerer, Caroline Lasser, Didier Robert
This paper is devoted to the construction of approximations of the propagator associated with a semi-classical matrix-valued Schrödinger operator with symbol presenting smooth eige…