Suboscillations with arbitrary shape
classification
🧮 math-ph
math.MP
keywords
arbitrarybandpassfunctionssuboscillationsaccuracyanalyticapproximatearbitrarily
read the original abstract
We report a method for constructing bandpass functions that approximate a given analytic function with arbitrary accuracy over a finite interval. A corollary is that bandpass functions can be obtained that oscillate arbitrarily slower than their minimum frequency component, a counter-intuitive phenomenon known as suboscillations.
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