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Book synopsis

V monografii razvivajutsya osnovy prikladnoj teorii diskretnyh sistem Vilenkina - Krestensona funkcij (VKF), vkljuchaya sistemy diskretnyh jexponencial'nyh funkcij (DJeF) i sistemy funkcij Uolsha. Osobennost' monografii sostoit v tom, chto, vo-pervyh, v nej polucheny analiticheskie ocenki chisla simmetrichnyh sistem VKF v beskonechnom intervale izmeneniya parametrov (osnovaniya sistemy schisleniya i stepeni osnovaniya), opredelyajushhih poryadok matric VKF, togda kak v izvestnyh istochnikah jeti ocenki dany lish' dlya stepeni, ravnoj dvum. Vo-vtoryh, vvedeny tak nazyvaemye indikatornye matricy (IM), biektivno svyazannye s matricami sistem VKF, prichem poryadok IM logarifmicheski zavisim ot poryadka sistem VKF. I, nakonec, v-tret'ih, ukazhem na to, chto v monografii komplexno-znachnye jelementy matric VKF zameshheny veshhestvennymi matricami s celochislennymi jelementami, ravnymi pokazatelyam stepeni fazovyh mnozhitelej matric DJeF ili VKF. I, kak sledstvie takogo izomorfnogo zameshheniya, znachimo uproshhaetsya kak procedura randomizacii matric, tak i tehnologiya postroenie strukturnyh shem algoritmov bystrogo preobrazovaniya Fur'e v sootvetstvujushhih bazisah.

Book details

• Full title: Diskretnye ortogonal'nye bazisy Vilenkina-Krestensona funkcij
• Subtitle: Osnovy teorii
• Author: Anatolij Beleckij
• Language: Russian
• Binding: Paperback
• Number of pages: 232
• EAN: 9783659603006
• ID: 09542803
• Publisher: Palmarium Academic Publishing
• Weight: 362 g
• Dimensions: 220 × 150 × 14 mm
• Date of publishing: 12. September 2015

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