Non Oscillatory Functions and A Fourier Inversion Theorem for Some Functions of Very Moderate Decrease

2023/01/17 by de Piro, Tristram
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Logic (math.LO) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2301.07106

Abstract

We consider non oscillatory functions and prove an everywhere Fourier Inversion Theorem for functions of very moderate decrease. The proofs rely on some ideas in nonstandard analysis.

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