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Young Women in Harmonic Analysis and PDE
December 2-4, 2016
María Guadalupe Morales Macías (Universidad Nacional Autónoma de México, Facultad de Estudios Superiores Cuautitlán)
An extension of some properties for the Fourier Transform operator on $L^{p}(\mathbb{R})$ spaces
In this work the Fourier Transform is studied using the Henstock-Kurzweil integral on $\mathbb{R}$. We obtain that the classical Fourier Transform $\mathcal{F}_{p}: L^{p}(\mathbb{R})\rightarrow L^{q}(\mathbb{R})$, $1/p+1/q=1$ and $1 < p \leq 2$, is represented by the integral on a subspace of $L^{p}(\mathbb{R})$, which strictly contains $L^{1}(\mathbb{R})\cap L^{p}(\mathbb{R})$. Moreover, for any function $f$ in that subspace, $\mathcal{F}_{ p} (f)$ obeys a generalized Riemann-Lebesgue Lemma.
News
Jessica Fintzen wins Cole Prize
Dr. Regula Krapf receives university teaching award
Prof. Catharina Stroppel joined the North Rhine-Westphalia Academy for Sciences and Arts
Prof. Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019
Prof. Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023
Grants for Mathematics students from Ukraine
Prof. Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society
Prof. Peter Scholze elected as Foreign Member of the Royal Society