EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 80(94), pp. 97–108 (2006)

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ASIMPTOTICHESKIE ODNORODNYE OBOBSHCHENNYE FINKCII

Yu. N. Drozhzhinov i B. Zavyalov

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

Abstract: Obobshchennye funkcii medlennogo rosta, obladayushchie (kvazi)asimptotikoj na beskonechnosti v asimptoticheskoj shkale pravil'no menyayushchihsya funkcij, nazyvayutsya asomptoticheski odnorodnymi. V chastnosti k etim funkciyam prinadlezhat vse odnorodnye obobshchennye funkcii. V rabote vvedeno sfericheskoe predstavlenie obobshchennyh funkcij i v ego terminah daetsya polnoe opisanie asimptoticheski odnorodnyh obobshchennyh funkcij. Polichennye rezul'taty primenyayutsya dlya izucheniya ocobennostej golomorfnyh funkcij v trubchatyh oblastyah nad konusamii v zadache o diffuzii mnogokomponentnyh veshchestv.

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

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

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