| Zadachi Shturma-Liuvillya S Granichnymi Usloviyami Zavisyashchimi OT Parametra Contributor(s): Aliev Yagub (Author) |
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ISBN: 3659249440 ISBN-13: 9783659249440 Publisher: LAP Lambert Academic Publishing OUR PRICE: $60.53 Product Type: Paperback Language: Russian Published: September 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Functional Analysis |
| Physical Information: 0.33" H x 6" W x 9" (0.47 lbs) 140 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Pri postroenii spektral'noy teorii differentsial'nykh operatorov fundamental'nuyu rol' igraet vopros o bazisnosti sistem kornevykh funktsiy izuchaemogo differentsial'nogo operatora v tom ili inom klasse funktsiy. Rabota posvyashchena issledovaniyu svoystv minimal'nosti i bazisnosti sistem kornevykh funktsiy differentsial'nykh operatorov so spektral'nym parametrom v granichnykh usloviyakh. Polucheny sleduyushchie osnovnye rezul'taty: 1) dokazana bazisnost' v prostranstvakh Lp chasti sistemy, sostoyashchey tol'ko iz sobstvennykh funktsiy kraevoy zadachi Shturma-Liuvillya s granichnym usloviem, ratsional'no i kvadratichno zavisyashchim ot spektral'nogo parametra; 2) issledovany bazisnye svoystva v prostranstvakh Lp chasti sistemy, sostoyashchey iz sobstvennykh i prisoedinennykh funktsiy, v lineynom i kvadratichnom sluchayakh; 3) polucheny neobkhodimye i dostatochnye usloviya dlya bazisnosti sistem, v kotorykh prisutstvuyut prisoedinennye funktsii; 4) yavno postroena sistema, biortogonal'no sopryazhennaya k vybrannoy podsisteme kornevykh funktsiy; 5) predlozhennye neobkhodimye i dostatochnye usloviya dlya bazisnosti sistem primeneny pri issledovanii konkretnykh primerov. |