US-France Cooperative Research: Polynomials with Concen- tration at Low Degrees and Applications

该奖项将支持计算领域的合作研究 Richard Varga博士和Per Enflo博士，肯特 州立大学和伯纳德·博扎米教授， 数学微积分，巴黎第七大学，法国。 一个重要的新概念已被引入最近博士。 Beauzamy和Enflo关于多项式的浓度。 数学的许多领域都涉及估算 多项式，这些估计涉及的程度， 多项式 例如，在谐波分析中， 数论和近似理论。 这个项目的目的 是获得多项式的类似估计，现在取决于 只有这些多项式的浓度，而不是他们的 ℃下 这项工作的一个应用将是扩展 函数论中的詹森公式。 该项目将有利于 从巴拿赫研究者的互补专业知识中 空间和数值分析，以及特定的理论 法国集团的实力。

This award will support collaborative research in computational mathematics between Dr. Richard Varga, and Dr. Per Enflo, Kent State University and Professor Bernard Beauzamy, Institute for Mathematical Calculus, University of Paris 7, France. An important new concept has been introduced recently by Drs. Beauzamy and Enflo concerning the concentration of a polynomial. There are many areas of mathematics which involve estimating polynomials, with these estimates involving the degree of the polynomial. This occurs, for example, in harmonic analysis, number theory and approximation theory. The aim of this project is to obtain similar estimates of polynomials, which now depend only on the concentration of these polynomials and not their degree. An application of this work would be to the extension of Jensen's formula in function theory. The project will benefit from the complementary expertise of the investigators in Banach spaces and numerical analysis, as well as the particular theoretical strength of the French group.