Ball prolate spheroidal wave functions in arbitrary dimensions

• المؤلفون الرئيسيون: Zhang, Jing, Li, Huiyuan, Wang, Li-Lian, Zhang, Zhimin
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2020
• الموضوعات: Science::Mathematics; Generalized Prolate Spheroidal Wave Functions; Arbitrary Unit Ball
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/142377
• المؤسسة: 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...