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math-ph2017
Suboscillations with arbitrary shape
Ioannis Chremmos, Yujie Chen, George Fikioris
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 funct…
math-ph2015
Superoscillations with arbitrary polynomial shape
Ioannis Chremmos, George Fikioris
We present a method for constructing superoscillatory functions the superoscillatory part of which approximates a given polynomial with arbitrarily small error in a fixed interval.…