PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.), Vol. 71(85), pp. 123--132, 2002

PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 71(85), pp. 123--132 (2002)

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TAUBEROVY TEOREMY DLYA OBOBSHCHENNYH FUNKCI\u\I\ V SHKALE PRAVIL'NO MENYAYUSHCHIHSYA FUNKCI\u\I\ I FUNKCIONALOV

V.S. Vladimirov, Yu.N. Drozhzhinov, B.I. Zav'yalov

Matematicheski\u\i institut, im. V.A. Steklova RAN, Moskva, Rossiya

Abstract: V rabote privedeny tauberovy teoremy novogo tipa. V \ee tyh teoremah ukazany dostatochnye usloviya, pri kotoryh obobshchennaya funkciya, prinimayushchaya znacheniya v lokal\m no vypuklom prostranstve, na samom dele prinimaet znacheniya v bolee uzkom banahovom prostranstve. Pri \ee tom estestvenno\ji\ asimptotichesko\ji\ shkalo\ji\ sluzhit seme\ji stvo avtomodel\m nyh funkcionalov. \EE ty teoremy primeneny dlya izucheniya asimptoticheskih svo\ji stv resheniya zadachi Koshi dlya uravneni\ji\ teploprovodnosti.

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

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