A brief historical perspective of the Wiener-Hopf technique
A brief historical perspective of the Wiener-Hopf technique
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DOI：
10.1007/s10665-007-9195-x
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发表时间：
2007-12-01
影响因子：
1.3
通讯作者：
Abrahams, I. David
中科院分区：
文献类型：
--
作者：
Lawrie, Jane B.;Abrahams, I. David
自20世纪世纪两位最重要的数学家合作寻找一个具有半无限卷积型积分算子的特殊方程的精确解以来，已有75年多的历史。该方法的优雅和分析的复杂性，现在被称为维纳-霍普夫技术，给所有使用它的人留下了深刻的印象。它的适用性几乎所有的分支工程，数学物理和应用数学是证明了成千上万的论文发表的主题，因为它的概念。维纳-霍普夫技术对于现代科学家来说仍然是一个极其重要的工具，并且应用领域不断拓宽。这个特殊问题的杂志工程数学是致力于工作的维纳和霍普夫，并包括一些文章，证明了相关的技术，以一个有代表性的范围内的模型问题。
It is a little over 75 years since two of the most important mathematicians of the 20th century collaborated on finding the exact solution of a particular equation with semi-infinite convolution type integral operator. The elegance and analytical sophistication of the method, now called the Wiener-Hopf technique, impress all who use it. Its applicability to almost all branches of engineering, mathematical physics and applied mathematics is borne out by the many thousands of papers published on the subject since its conception. The Wiener-Hopf technique remains an extremely important tool for modern scientists, and the areas of application continue to broaden. This special issue of the Journal of Engineering Mathematics is dedicated to the work of Wiener and Hopf, and includes a number of articles which demonstrate the relevance of the technique to a representative range of model problems.