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.
Read more about this topic: Sergei Sobolev
Famous quotes containing the word work:
“Far and away the best prize that life offers is the chance to work hard at work worth doing.”
—Theodore Roosevelt (18581919)
“No matter how vast, how total, the failure of man here on earth, the work of man will be resumed elsewhere. War leaders talk of resuming operations on this front and that, but mans front embraces the whole universe.”
—Henry Miller (18911980)
“Work is a responsibility most adults assume, a burden at times, a complication, but also a challenge that, like children, requires enormous energy and that holds the potential for qualitative, as well as quantitative, rewards. Isnt this the only constructive perspective for women who have no choice but to work? And isnt it a more healthy attitude for women writhing with guilt because they choose to compound the challenges of motherhood with work they enjoy?”
—Melinda M. Marshall (20th century)