Prostranstva Funktsiy Eksponentsial'nogo Tipa I Sobolevskie Prostranstva: Funktsii R-adicheskogo Argumenta - Yakov Radyno - Books - LAP LAMBERT Academic Publishing - 9783659306693 - December 2, 2012
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Yakov Radyno
Prostranstva Funktsiy Eksponentsial'nogo Tipa I Sobolevskie Prostranstva: Funktsii R-adicheskogo Argumenta Russian edition

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Dlya funktsiy deystvitel'nogo peremennogo plodotvorno issledovanie differentsial'no-operatornykh uravneniy s pomoshch'yu apparata vektorov eksponentsial'nogo tipa. Nearkhimedovym analogom polya deystvitel'nykh chisel yavlyaetsya pole p-adicheskikh chisel. V dannoy knige izuchayutsya analogi vektorov eksponentsial'nogo tipa nad polem p-adicheskikh chisel. Pri rabote s operatorami v banakhovykh prostranstvakh funktsiy p-adicheskogo argumenta regulyarno voznikayut voprosy o povedenii funktsiy "v srednem". Tak, naprimer, voznikaet vopros o "massivnosti" mnozhestva tochek Lebega dlya sobolevskikh klassov. V sluchae deystvitel'nogo peremennogo estestvennye otvety mozhno dat' ispol'zuya ponyatiya razmernosti Khausdorfa i sobolevskikh emkostey. V knige polucheny rezul'taty dlya p-adicheskogo sluchaya, prichem s men'shimi ogranicheniyami.

Media Books     Paperback Book   (Book with soft cover and glued back)
Released December 2, 2012
ISBN13 9783659306693
Publishers LAP LAMBERT Academic Publishing
Pages 100
Dimensions 150 × 6 × 226 mm   ·   158 g
Language Russian  

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