TY  - BOOK
AU  - Bieliavsky,Pierre
AU  - Gayral,Victor
TI  - Deformation quantization for actions of Kahlerian lie groups
T2  - Memoirs of the American Mathematical Society
SN  - 9781470414917 (alk. paper)
U1  - 510 23
PY  - 2015///
CY  - Providence :    
PB  - American Mathematical Society
KW  - Lie groups
KW  - Kahlerian structures
N1  - Includes bibliographical references; 1. Introduction --
2. Oscillatory integrals --
3. Tempered pairs for Kählerian Lie groups --
4. Non-formal star-products --
5. Deformation of Fréchet algebras --
6. Quantization of polarized symplectic symmetric spaces --
7. Quantization of Kählerian Lie groups --
8. Deformation of C*-algebras --
Bibliography
N2  - In this memoir, the authors prove both analogous statements for general negatively curved Kahlerian groups. The construction relies on the one hand on combining a non-Abelian version of oscillatory integral on tempered Lie groups with geom,etrical objects coming from invariant WKB-quantization of solvable symplectic symmetric spaces, and, on the second hand, in establishing a non-Abelian version of the Calderon-Vaillancourt Theorem. In particular, the authors give an oscillating kernel formula for WKB-star products on symplectic symmetric spaces that fiber over an exponential Lie group
ER  -