𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the degree of continuity and smoothness of sine and cosine Fourier transforms of Lebesgue integrable functions

✍ Scribed by Ferenc Móricz

Publisher
Akadmiai Kiad
Year
2011
Tongue
English
Weight
441 KB
Volume
134
Category
Article
ISSN
1588-2632

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the convergence of Fourier series of
On the convergence of Fourier series of computable Lebesgue integrable functions
✍ Philippe Moser 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 130 KB

This paper studies how well computable functions can be approximated by their Fourier series. To this end, we equip the space of L p -computable functions (computable Lebesgue integrable functions) with a size notion, by introducing L p -computable Baire categories. We show that L p -computable Bair

Rearrangements of Functions on a Locally
Rearrangements of Functions on a Locally Compact Abelian Group and Integrability of the Fourier Transform
✍ A. Gulisashvili 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 524 KB

We find in this paper the equimeasurable hulls and kernels of some function classes on a locally compact abelian group. These classes consist of all functions for which the Fourier transform belongs to a given Lorentz space on the dual group. Different special cases of the problems considered in thi