# On Fourier multipliers and comparison of differential operators

Seminar
Speaker
Prof. R. Trigub, Donetsk National University, Ukraine
Date
29/10/2012 - 14:00Add to Calendar 2012-10-29 14:00:00 2012-10-29 14:00:00 On Fourier multipliers and comparison of differential operators The talk consists of two parts. 1) Fourier multipliers and absolute convergence of Fourier integrals. Based on the paper by Liflyand-Samko-Trigub "The Winer algebra of absolutely convergent Fourier integrals: an overview", Analysis and Math. Physics 2(2012), 1-68. 2) Comparison of linear differential operators with constant coefficients by their norms in  $L_p,$ $1\le p\le \infty$. In particular, three criteria of comparison are obtained for functions on the circle, on the axis, and on the half-axis, as well as one sharp inequality. אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Abstract

The talk consists of two parts.

1) Fourier multipliers and absolute convergence of Fourier integrals.
Based on the paper by Liflyand-Samko-Trigub "The Winer
algebra of absolutely convergent Fourier integrals: an overview",
Analysis and Math. Physics 2(2012), 1-68.

2) Comparison of linear differential operators with constant coefficients
by their norms in  $L_p,$ $1\le p\le \infty$. In particular, three criteria
of comparison are obtained for functions on the circle, on the axis, and on
the half-axis, as well as one sharp inequality.

תאריך עדכון אחרון : 22/10/2012