Abstract
Prolate Spheroidal Wave Functions (PSWFs) are a well-studied subject with applications in signal processing, wave propagation, antenna theory, etc. Originally introduced in the context of separation of variables for certain partial differential equations, PSWFs became an important tool for the analysis of band-limited functions after the famous series of articles by Slepian et al. The popularity of PSWFs seems likely to increase in the near future, as band-limited functions become a numerical (as well as an analytical) tool.
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Communicated by Henry J. Landau.
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Xiao, H., Rokhlin, V. High-Frequency Asymptotic Expansions for Certain Prolate Spheroidal Wave Functions. J. Fourier Anal. Appl. 9, 575–596 (2003). https://doi.org/10.1007/s00041-003-0906-z
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DOI: https://doi.org/10.1007/s00041-003-0906-z