Geometric and Harmonic Analysis on Homogeneous Spaces and Applications

This book collects a series of important works on noncommutative harmonic analysis on homogeneous spaces and related topics. All the authors participated in the 6th Tunisian-Japanese conference "Geometric and Harmonic Analysis on homogeneous spaces and Applications" held at Djerba Island in Tunisia during the period of December 16-19, 2019. The aim of this conference and the five preceding Tunisian-Japanese meetings was to keep up with the active development of representation theory interrelated with various other mathematical fields, such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations, and mathematical physics. The present volume is dedicated to the memory of Takaaki Nomura, who organized the series of Tunisian-Japanese conferences with great effort and enthusiasm. The book is a valuable resource for researchers and students working in various areas of analysis, geometry, and algebra in connection with representation theory.

Peer-reviewed and High-level research contributions Faces topics such as commutative harmonic analysis (Fourier analysis on Euclidean spaces), analysis on homogeneous spaces, uncertainty principles and geometric Analysis and some of their interactions with operator algebras Dedicated to the memory of Takaaki Nomura

Autorentext
Ali Baklouti is a Full Professor of Mathematics at the University of Sfax, Tunisia. He received his Ph.D. in Mathematics from the University of Metz (France) in 1995. He was elected as Vice-President of the University of Sfax since December 2020 and as the President of the Tunisian Mathematical Society for two consecutive terms (April 2016-March 2019 and April 2019-March 2022), and he has been the Deputy Director of the Mediterranean Institute of Mathematical Sciences since January 2012. He was also nominated as a member of the Tunisian Academy of Sciences, Letters and Arts: Beit Elhikma in December 2016. He published over 80 papers in peer-reviewed international journals and proceedings, as well as many book chapters. He is Co-Editor-in-Chief of the Tunisian Journal of Mathematics and Advances in Pure and Applied Mathematics.Hideyuki Ishi is a Full Professor of Mathematics at Osaka City University. He received his doctoral degree from Kyoto University in 2000 under the direction of Takaaki Nomura. He was a research director at JST PRESTO from 2016 to 2020. He is working on representation theory of Lie groups, analysis of several complex variables, mathematical statistics, and information geometry. He has published 38 original papers in peer-reviewed journals and proceedings. He has organized several domestic and international academic meetings and has delivered a number of invited talks.

Inhalt
1 A. Baklouti and H. Ishi, Takaaki Nomura, A prominent figure for the Tunisian-Japanese Cooperation.- 2 K. Arashi, Coherent state representations of the holomorphic automorphism group of the tube domain over the dual of the Vinberg cone.- 3 Daniel de la Concepción and A. Makhlouf, Variety of Hom-Sabinin algebras and related algebra subclasses.- 4 J. Faraut, Eigenvalues of positive pseudo-Hermitien matrices.- 5 H. Hamrouni and Z. Jlali, On the subgroup lattices of Lie groups with finitely many connected components.- 6 J. Inoue, Semi-invariant vectors associated with holomorphically induced representations of exponential Lie groups.- 7 T. Kawasoe, Singular integral operators of convolution type on Jacobi hypergroup.- 8 K. Koufany and H. Ishi, The compression semigroup of the dual Vinberg cone.- 9 D. Manchon and H. Z. Munthe-Kaas, The universal pre-Lie-Rinehart algebras of aromatic trees.- 10 R. Matsunawa and H. Takemura, Variants of confluent $q$-hypergeometric equations.- 11 S. Mustapha, Property (RD) for algebraic groups]{Rapid decay property for algebraic $p$-adic groups.- 12 H. Nakashima, Rings of invariant differential operators on homogeneous cones and Capelli-type identities.- 13 N. Shemino and N. Tani, An extension of Pizzetti's formula associated with the Dunkl operators.- 14 Y. Tanaka, On double coset decompositions of real reductive groups for reductive absolutely spherical subgroups.