On the Equisummability of Hermite and Fourier Expansions

Proceedings Mathematical Sciences

E K Narayanan²  S Thangavelu¹ 

[1] $$;Statistics and Mathematics Division, Indian Statistical Institute, th Mile, Mysore Road, Bangalore 0 0, India$$

关键词: Hermite functions;    special Hermite expansions;    equisummability.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We prove an equisummability result for the Fourier expansions and Hermite expansions as well as special Hermite expansions. We also prove the uniform boundedness of the Bochner-Riesz means associated to the Hermite expansions for polyradial functions.

【 授权许可】

Unknown