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### Session S05 - Advances on Spaces of Non-absolutely Integrable Functions and Related Applications

Monday, July 12, 16:05 ~ 16:35 UTC-3

## Fourier Analysis within a frame of the generalized integral

This talk is devoted to present new fundamental properties of the Fourier transform de ned over spaces of non-absolutely integrable functions. For example, we consider functions in classical subspaces, as non-absolutely integrable functions in $L^p(\mathbb{R})$, to obtain e.g. continuity, differentiability, and asymptotic behavior of the Fourier transform of such functions.