EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 58(72), pp. 153--161 (1995)

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Kvaziasimptoticheskoe razlozhenie mery na poluosi v shkale pravil'no menyayushchihsya funkcij

Yu.N. Drozhzhinov, B.I. Zav'yalov

Steklov Math. Inst., Moskva 117966, Russia

Abstract: V stat'e rassmotrena tauberova teorema tipa Hardi--Littlvuda--Karamata dlya kvaziasimptotiqeskih razlozhenii mer, sosredotoqennyh na polozhitel'noi poluosi. Pri etom predpolagaetsya, chto chleny kvaziasimptoticheskogo razloxheniya --- obobshchennye funkcii, sosredotochennye v nachale koordinat, a asimptoticheskoe povedenie ostatka ocenivaetsya otnositel'no shkaly pravil'no menyayushchihsya (avtomodel'nyh) funkcii. Rezul'taty primenyayusya v teorii veroyatnostei dlya opredeleniya povedeniya ``hvostov'' funkcii raspredeleniya po asimptoticheskomu povedeniyu harakteristicheskoi funkcii.

Classification (MSC2000): 46F12; 44A10, 40E05

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Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 16 Nov 2001.

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