تقرير
The Fourier transform in Lebesgue spaces
| العنوان: | The Fourier transform in Lebesgue spaces |
|---|---|
| المؤلفون: | Talvila, Erik |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, Primary 42A38, 46F10 (Primary) 26A42, 46B04 (Secondary) 26A42, 46B04 |
| الوصف: | For each $f\in L^p({\mathbb R)}$ ($1\leq p<\infty$) it is shown that the Fourier transform is the distributional derivative of a H\"older continuous function. For each $p$ a norm is defined so that the space Fourier transforms is isometrically isomorphic to $L^p({\mathbb R)}$. There is an exchange theorem and inversion in norm. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2309.01699 |
| رقم الأكسشن: | edsarx.2309.01699 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |