论文标题

对通勤操作员“奇迹”和乐队限制的解释

An explanation of the commuting operator "miracle" in time and band limiting

论文作者

Bernard, Pierre-Antoine, Crampe, Nicolas, Vinet, Luc

论文摘要

时间和限制操作员表示为在球形波方程中产生的汇合HEUN操作员的功能。当带宽参数较小或大时,可获得显式公式,并且恢复了完整的傅立叶变换的结果。

Time and band limiting operators are expressed as functions of the confluent Heun operator arising in the spheroidal wave equation. Explicit formulas are obtained when the bandwidth parameter is either small or large and results on the complete Fourier transform are recovered.

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