Cowling–Price Theorem and Characterization of Heat Kernel on Symmetric Spaces

Proceedings Mathematical Sciences

Rudra P Sarkar²  Swagato K Ray¹ 

[1] Department of Mathematics, Indian Institute of Technology, Kanpur 0 0, India$$;Stat-Math Division, Indian Statistical Institute, 0 B.T. Road, Kolkata 00 0, India$$

关键词: Hardy's theorem;    spherical harmonics;    symmetric space;    Jacobi function;    heat kernel.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We extend the uncertainty principle, the Cowling–Price theorem, on non-compact Riemannian symmetric spaces 𝑋. We establish a characterization of the heat kernel of the Laplace–Beltrami operator on 𝑋 from integral estimates of the Cowling–Price type.

【 授权许可】

Unknown