Hadamard regularization
id:
hadamard-regularization-291-13591733
title:
Hadamard regularization
text:
In mathematics, Hadamard regularization is a method of regularizing divergent integrals by dropping some divergent terms and keeping the finite part, introduced by Hadamard (1923, book III, chapter I, 1932). Riesz (1938, 1949) showed that this can be interpreted as taking the meromorphic continuation of a convergent integral. If the Cauchy principal value integral exists, then it may be differentiated with respect to x to obtain the Hadamard finite part integral as follows: Note that the symbols
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https://en.wikipedia.org/wiki/Hadamard_regularization
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2024-01-31T19:24:19Z
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