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MR1781466 (2001k:33042) 33E20 (33B99 81Q05 81V45)
Ruskai, Mary Beth; Werner, Elisabeth Study of a class of regularizations of $1/\vert X\vert $ using Gaussian integrals. SIAM J. Math. Anal. 32 (2000), no. 2, 435–463 (electronic).
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