Jel'wira Ahmerowa

Differencial'nye operatory

Asimptotika spektra i formuly sledow

• Broschiertes Buch

Produktbeschreibung

Kniga posvyashchena issledovaniyu asimptoticheskogo raspredeleniya sobstvennykh znacheniy i vychisleniyu regulyarizovannykh sledov differentsial'nykh operatorov. Metody vydeleniya pervogo chlena asimptoticheskogo razlozheniya dlya sobstvennykh chisel razrabotany dostatochno polno. Chto kasaetsya posleduyushchikh chlenov razlozheniya, to etot vopros otnositel'no podrobno izuchalsya tol'ko dlya gladkikh vozmushcheniy differentsial'nykh operatorov. V rabote ispol'zuetsya novyy metod, predlozhennyy professorom Murtazinym Kh.Kh. dlya abstraktnykh samosopryazhennykh operatorov v gil'bertovom prostranstve, kotoryy osnovan na asimptoticheskom predstavlenii chasti yadra rezol'venty nevozmushchennogo operatora. S pomoshch'yu etogo metoda poluchena asimptotika spektra i formuly sledov vozmushcheniy garmonicheskogo ostsillyatora na vsey osi, prichem na vozmushchenie nakladyvayutsya lish' usloviya tipa summiruemosti. Predlozhennaya tekhnika takzhe prodemonstrirovana na otrezke: v sluchae kratnykh sobstvennykh chisel, dlya differentsial'nogo operatora 2n-go poryadka, vozmushchennogo differentsial'nym operatorom poryadka 2n-2, zadannym kvazidifferentsial'nym vyrazheniem.Kniga prednaznachena dlya studentov, aspirantov i nauchnykh sotrudnikov, spetsializiruyushchikhsya v oblasti matematicheskoy fiziki.

Produktdetails

• Verlag: LAP LAMBERT Academic Publishing
• Seitenzahl: 140
• Erscheinungstermin: 14. Juli 2011
• Russisch
• Abmessung: 220mm x 150mm x 9mm
• Gewicht: 227g
• ISBN-13: 9783845426877
• ISBN-10: 384542687X
• Artikelnr.: 36061487

Autorenporträt

Ahmerowa Jel'wira Fangizowna, kandidat fiziko-matematicheskih nauk, Bashkirskij gosudarstwennyj uniwersitet, docent kafedry matematicheskogo analiza, Ufa.