Ball prolate spheroidal wave functions in arbitrary dimensions

• Main Authors: Zhang, Jing, Li, Huiyuan, Wang, Li-Lian, Zhang, Zhimin
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2020
• Subjects: Science::Mathematics; Generalized Prolate Spheroidal Wave Functions; Arbitrary Unit Ball
• Online Access: https://hdl.handle.net/10356/142377
• Institution: Nanyang Technological University

In this paper, we introduce the prolate spheroidal wave functions (PSWFs) of real order α>−1 on the unit ball in arbitrary dimension, termed as ball PSWFs. They are eigenfunctions of both an integral operator, and a Sturm–Liouville differential operator. Different from existing works on multi-dim...