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Veyvlety I Freymy V Diskretnom Analize by Malozyemov Vasiliy

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Author: Malozyemov Vasiliy
Page Count: 144 pages
Published Date: 21 Jun 2012
Publisher: LAP Lambert Academic Publishing
Publication Country: United States
Language: Russian
ISBN: 9783659133718
Download Link: Veyvlety I Freymy V Diskretnom Analize
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Vo mnogikh napravleniyakh vychislitel'noy matematiki shirokoe primenenie nakhodyat veyvletnye bazisy. Odnim iz sposobov postroeniya veyvletnykh bazisov yavlyaetsya liftingovaya skhema, predlozhennaya V. Sveldensom. Pervaya chast' knigi posvyashchena opisaniyu liftingovykh skhem, pryamoy i dvoystvennoy, v sluchae diskretnykh periodicheskikh signalov. Krome razlozheniy elementov prostranstva po bazisam, v diskretnom analize ispol'zuyutsya razlozheniya po freymam. Osnovnoy interes predstavlyayut zhyestkie freymy. Vo vtoroy chasti knigi izuchayutsya otdel'nye klassy zhyestkikh freymov, vazhnye s tochki zreniya prilozheniy: garmonicheskie i obobshchyennye garmonicheskie freymy, zhyestkie freymy, obladayushchie gruppovoy strukturoy. V rabote imeetsya prilozhenie, posvyashchyennoe polucheniyu bystrykh algoritmov veyvletnykh razlozheniy. Kniga rasschitana na studentov i aspirantov matematicheskikh i tekhnicheskikh spetsial'nostey, a takzhe na spetsialistov v oblasti diskretnogo analiza.

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