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Sergei Sobolev
Sergei Lvovich Sobolev ((ロシア語:Серге́й Льво́вич Со́болев); 6 October 1908 – 3 January 1989) was a Soviet mathematician working in mathematical analysis and partial differential equations. He was born in St. Petersburg, and died in Moscow.〔(【引用サイトリンク】first=J J )〕
==Work==
Sobolev introduced the notions that are now fundamental for several areas of mathematics. Sobolev spaces can be defined by some growth conditions on the Fourier transform. They and their embedding theorems are an important subject in functional analysis. Generalized functions (later known as distributions) were first introduced by Sobolev in 1935 for weak solutions, and further developed by Laurent Schwartz. Sobolev abstracted the classical notion of differentiation, so expanding the range of application of the technique of Newton and Leibniz. The theory of distributions is considered now as the calculus of the modern epoch.〔e.g. Friedman, A. (1970). ''Foundations of modern analysis''. Courier Corporation, p. iii〕
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