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 transforms; 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 ranges of applications of the technique of Newton and Leibniz. The theory of distribution is considered now as the calculus of the modern epoch.
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“...I still have faith occasionally in the brotherhood of man, and in spite of all the tragedies that have intervened since [1945], believe that sometime, somehow, all the nations of the world can work together for the common good.”
—Virginia Crocheron Gildersleeve (1877–1965)
“In some withdrawn, unpublic mead
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“Some are “industrious,” and appear to love labor for its own sake, or perhaps because it keeps them out of worse mischief; to such I have at present nothing to say. Those who would not know what to do with more leisure than they now enjoy, I might advise to work twice as hard as they do,—work till they pay for themselves, and get their free papers.”
—Henry David Thoreau (1817–1862)