EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 80(94), pp. 273–286 (2006)

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DOPUSTIMYE FUNKCII DLYA KONUSA I ASIMPTOTIKA BEZGRANICHNO DELIMYH RASPREDELENIJ

A. L. Yakymiv

Matematicheskij institut im. V. A. Steklova, Moskva, Rossiya

Abstract: Odnym iz vozmozhnyh obobshchenij pravil'no menyayushchihcya funkcij na mnogomernyj sluchaj yavlyayutsya dopustimye funkcii dlya konusa. Dopustimye funkcii dlya proizvol'nogo zamknutogo vypuklogo ostrogo telesnogo $n$-mernogo konusa byli vvedeny Yu. N. Drozhzhinovym i B. I. Zavyalovym v 1984 godu v svyazi s prilozheniyami v tauberovoj teorii i matematicheskoj fizike. v Nastoyashchej state privodyatsya opredeleniya i primery nekotoryh klassov dopustimyh finkcij konusa, a takzhe mnogomernye tauberovy teoremy dlya nih. V kachestve prilozheniya v konce stat'i dana asimptotika na beskonechnosti bezgranichno delimyh raspredelenij s nositelem v proizvol'nom zamknutom vypuklom ostrom telesnom odnorodnom konuse iz $R^n$.

Classification (MSC2000): 40E05; 60E07

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Electronic fulltext finalized on: 10 Oct 2006. This page was last modified: 4 Dec 2006.

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