Full Description
This book presents a number of important contributions focusing on harmonic analysis and representation theory of Lie groups. All were originally presented at the 5th Tunisian-Japanese conference "Geometric and Harmonic Analysis on Homogeneous Spaces and Applications", which was held at Mahdia in Tunisia from 17 to 21 December 2017 and was dedicated to the memory of the brilliant Tunisian mathematician Majdi Ben Halima. The peer-reviewed contributions selected for publication have been modified and are, without exception, of a standard equivalent to that in leading mathematical periodicals. Highlighting the close links between group representation theory and harmonic analysis on homogeneous spaces and numerous mathematical areas, such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations and mathematical physics, the book is intended for researchers and students working in the area of commutative and non-commutative harmonic analysis as well as group representations.
Contents
A. Baklouti, H. Fujiwara and J. Ludwig, Monomial representations of discrete type of an exponential solvable Lie group.- H. Hamrouni and F. Sadki, Self-Chabauty-isolated locally compact groups.- B. Hurle and A. Makhlouf, Quantization of color Lie bialgebras.- E. Kurniadi and H. Ishi, Harmonic analysis for 4-dimensional real Frobenius Lie algebras.- J. Inoue, An example of holomorphically induced representations of exponential solvable Lie groups.- H. Oda and N. Shimeno, Spherical functions for small K-types.- A. Sasaki, A Cartan decomposition for non-symmetric reductive spherical pairs of rank-one type and its application to visible actions.- G. Sevestre and T. Wurzbacher, Lagrangian submanifolds of standard multisymplectic manifolds.- A. Baklouti, S. Dhieb and D. Manchon, The Poisson characteristic variety of unitary irreducible representations of exponential Lie groups.
