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Ball prolate spheroidal wave functions in arbitrary dimensions
Affiliation:1. School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan 430079, China;2. State Key Laboratory of Computer Science/Laboratory of Parallel Computing, Institute of Software, Chinese Academy of Sciences, Beijing 100190, China;3. Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 637371, Singapore;4. Beijing Computational Science Research Center, Beijing 100193, China;5. Department of Mathematics, Wayne State University, MI 48202, USA;1. Department of Mathematics, Simon Fraser University, Burnaby, BC, Canada;2. Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ, USA;1. Department of Mathematics, University of Colorado, Colorado Springs, 1420 Austin Bluffs Pkwy, Colorado Springs, CO 80918, USA;2. Department of Mathematics, Concordia College, 901 8th Str. S, Moorhead, MN 56562, USA;3. Physics Department, University of Rome “La Sapienza”, p. Aldo Moro, I-00185 Roma, Italy;4. Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Italy;1. Laboratory of Parallel Computing, Institute of Software, Chinese Academy of Sciences, Beijing 100190, People''s Republic of China;2. University of Chinese Academy of Sciences, Beijing 100190, People''s Republic of China;3. State Key Laboratory of Computer Science/Laboratory of Parallel Computing, Institute of Software, Chinese Academy of Sciences, Beijing 100190, People''s Republic of China;1. Research School of Engineering, College of Engineering and Computer Science, The Australian National University, Canberra, Australia;2. Mullard Space Science Laboratory, University College London, Surrey RH5 6NT, UK
Abstract:
Keywords:Generalized prolate spheroidal wave functions  Arbitrary unit ball  Sturm–Liouville differential equation  Finite Fourier transform  Bouwkamp spectral-algorithm
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