Certain problems in Fourier Analysis

Seminar
Speaker
Prof. R. Trigub, Donetsk National University, Ukraine
Date
01/12/2014 - 14:00Add to Calendar 2014-12-01 14:00:00 2014-12-01 14:00:00 Certain problems in Fourier Analysis The following problems (or a part of them) will be discussed. 1. Generalization of the Abel-Poisson summation method.  2. Generalization of the Riemann-Lebesgue lemma. 3. Strengthening of the Hardy-McGehee-Pigno-Smith inequality. 4. Generalization of the Euler-Maclaurin formula. 5. Absolute convergence of grouped Fourier series. 6. Comparison of linear differential operators with constant coefficients. 7. Positive definite functions and splines. 8. Strong converse theorems in approximation theory. Bernstein-Stechkin polynomials. אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Abstract

The following problems (or a part of them) will be discussed.
1. Generalization of the Abel-Poisson summation method. 
2. Generalization of the Riemann-Lebesgue lemma.
3. Strengthening of the Hardy-McGehee-Pigno-Smith inequality.
4. Generalization of the Euler-Maclaurin formula.
5. Absolute convergence of grouped Fourier series.
6. Comparison of linear differential operators with constant coefficients.
7. Positive definite functions and splines.
8. Strong converse theorems in approximation theory. Bernstein-Stechkin polynomials.

תאריך עדכון אחרון : 24/11/2014