Harmonic Analysis Associated with the Heckman-Opdam-Jacobi Operator on R^(d+1)  

作　　者：Fida Bahba Rabiaa Ghabi 

机构地区：[1]Universite de Monastir,Faculte des Sciences,Monastir 5019,Tunisia

出　　处：《Analysis in Theory and Applications》2022年第4期417-438,共22页分析理论与应用（英文刊）

摘　　要：In this paper we consider the Heckman-Opdam-Jacobi operatorΔ_(H J)on R^(d+1).We define the Heckman-Opdam-Jacobi intertwining operator V_(H J),which turns out to be the transmutation operator betweenΔ_(H J)and the LaplacianΔ_(d+1).Next we construct^(t)V_(H J)the dual of this intertwining operator.We exploit these operators to develop a new harmonic analysis corresponding toΔ_(H J).

关 键 词：Heckman-Opdam-Jacobi operator generalized intertwining operator and its dual generalized Fourier transform generalized translation operators. 

分 类 号：O174[理学—数学]