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单词 Faltung (Form)
释义

Faltung (Form)

Let and be bilinear forms

 
 

and suppose that and are bounded in with bounds and . Then


where the series


is absolutely convergent, is called the faltung of and . is bounded in , and its bound does not exceed .


References

Hardy, G. H.; Littlewood, J. E.; and Pólya, G. Inequalities, 2nd ed. Cambridge, England: Cambridge University Press, pp. 210-211, 1988.


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更新时间:2025/2/22 5:24:55