A tale of two Hardy spaces

Seminar
Speaker
Prof. E. Liflyand Bar-Ilan University
Date
23/11/2015 - 18:20 - 14:00Add to Calendar 2015-11-23 14:00:00 2015-11-23 18:20:00 A tale of two Hardy spaces New relations between the Fourier transform of a function of bounded variation and the Hilbert transform of its derivative are revealed. The main result is an asymptotic formula for the {\bf cosine} Fourier transform. Such relations have previously been known only for the sine Fourier transform. Interrelations of various function spaces are studied in this context, first of all of two types of Hardy spaces. The obtained results are used for proving completely new results on the integrability of trigonometric series. 2nd floor Colloquium Room, Building 216 אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
2nd floor Colloquium Room, Building 216
Abstract

New relations between the Fourier transform of a function of bounded
variation and the Hilbert transform of its derivative are revealed.
The main result is an asymptotic formula for the {\bf cosine} Fourier
transform. Such relations have previously been known only for the sine
Fourier transform. Interrelations of various function spaces are studied
in this context, first of all of two types of Hardy spaces. The obtained
results are used for proving completely new results on the integrability
of trigonometric series.

Last Updated Date : 22/11/2015