Non oscillatory functions and a fourier inversion theorem for functions of very moderate decrease

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.

Authors

Publication Details

Journal
Engineering and Applied Science Letters
Published
2024-12-31
DOI
https://doi.org/10.30538/psrp-easl2024.0104
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
0.00
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article

Non oscillatory functions and a fourier inversion theorem for functions of very moderate decrease

Tristram de Piro
Engineering and Applied Science Letters
Differential Equations and Boundary Problems
article

Non oscillatory functions and a fourier inversion theorem for functions of very moderate decrease

Tristram de Piro
article en

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.

Engineering and Applied Science LettersVol. 7(3)
Openalex Percentile: Top 56%
Differential Equations and Boundary Problems
DOIOpen Access PDFOpenAlex
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Non oscillatory functions and a fourier inversion theorem for functions of very moderate decrease — Tristram de Piro · Engineering and Applied Science Letters (2024) | TGRS Research Map | TGRS