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单词 Hilbert space
释义

Hilbert space

/ˈhɪlbət speɪs /
noun Mathematics
An infinite-dimensional analogue of Euclidean space.His theorem, now called the Riesz - Fischer theorem, which he proved in 1907, is fundamental in the Fourier analysis of Hilbert space....
  • He took various ideas of Hilbert on integral equations and combined these into the concept of a Hilbert space around 1905.
  • In short, to have any hope of understanding what a Hilbert space is, you must learn and digest a whole hierarchy of lower-level concepts first.

Origin

Early 20th century: named after David Hilbert (1862–1943), German mathematician.

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更新时间:2024/9/22 1:08:20