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Full Description
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.
Contents
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.
