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单词 Hilbert inequality
释义

Hilbert inequality

英语百科

Hilbert's inequality

In analysis, a branch of mathematics, Hilbert's inequality states that

for any sequence u1,u2,... of complex numbers. It was first demonstrated by David Hilbert with the constant 2π instead of π; the sharp constant was found by Issai Schur. It implies that the discrete Hilbert transform is a bounded operator in 2.

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