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Description

Chastichno integral'nyy operator(ChIO) voznikayut, pri izuchenii dvukh chastichnoy vetvi spektra u gamil'tonianov, opisyvayushchikh kvantovye sistemy s bol'shim(ili beskonechnym) chislom chastits, ili u generatorov slozhnykh markovskikh protsessov, v teorii uprugosti, gidrodinamike i drugikh razdelakh mekhaniki sploshnykh sred. Issledovanie spektral'naya struktura samosopryazhennogo ChIO yavlyaetsya aktual'nym problemoy v teorii operatorov Shredingera. V monografii vpervye predlozheny metody teorii tsiklicheski kompaktnykh operatorov v modulyakh Kaplanskogo-Gil'berta dlya issledovaniya spektral'nykh svoystv ChIO. Kniga okhvatyvaet sleduyushchie voprosy: varianty teoremy Fredgol'ma dlya chastichno integral'nykh uravneniy, formuly dlya sushchestvennogo i diskretnogo spektrov samosopryazhennogo ChIO tipa Fredgol'ma, teoremy o dostatochnom i neobkhodimom usloviyu sushchestvovanie effekta Efimova dlya ChIO tipa Fredgol'ma. Kniga prednaznachena na spetsialistov v teorii integral'nykh operatorov, matematicheskoy fiziki, funktsional'nogo analiza i ikh prilozheniy.
  • ISBN13: 9783659338915
  • Publisher: LAP Lambert Academic Publishing
  • Pubilcation Year: 2013
  • Format: Paperback
  • Pages: 00200
Specifications
LanguageRussian
FormatPaperback
Publication DateFebruary 27, 2013
Primary CategoryMusic/General

Chastichno Integral'nye Operatory Tipa Fredgol'ma

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