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Asymptotic Properties of Integrals of Quotients when the Numerator Oscillates and the Denominator Degenerates

Kuksin, S

Kuksin, S (reprint author), Univ Paris Diderot, Inst Math Jussieu Paris Rive Gauche, Sorbonne Paris Cite, CNRS,UMR 7586, F-75013 Paris, France.; Kuksin, S (reprint author), Shandong Univ, Sch Math, Shanda Nanlu 27, Jinan 250100, Shandong, Peoples R China.

JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2018; 14 (4): 510

Abstract

We study asymptotic expansion as nu -> 0 for integrals over R-2d ={{ (x, y)} of quotients of the form F(x, y) cos (lambda x.y)/((x.y)(2) + nu(2)), ......

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