Geometricheskie kriterii mebiusovosti: Kharakterizatsiya mebiusovykh preobrazovaniy pri minimal'nykh predpolozheniyakh (Russian ,Used

Geometricheskie kriterii mebiusovosti: Kharakterizatsiya mebiusovykh preobrazovaniy pri minimal'nykh predpolozheniyakh (Russian ,Used

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SKU: DADAX3659303518
Brand: LAP Lambert Academic Publishing
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Mebiusovo preobrazovanie v nmernom prostranstve eto kompozitsiya konechnogo chisla inversiy otnositel'no sfer. Vazhnost' mebiusovykh preobrazovaniy obuslovlena tem, chto na kompleksnoy ploskosti eto konformnye otobrazheniya, a v sluchae n > 2 vse konformnye otobrazheniya, soglasno teoreme Liuvillya, ischerpyvayutsya mebiusovymi. Mebiusovy preobrazovaniya nakhodyat shirokoe primenenie v razlichnykh oblastyakh sovremennoy nauki: teorii funktsiy, geometrii, topologii, differentsial'nykh uravneniyakh, teorii chisel, obshchey teorii gennykh setey i obrabotki signalov. V sovremennoy geometricheskoy teorii funktsiy sushchestvuet napravlenie, nazyvaemoe "kharakterizatsiya geometricheskikh preobrazovaniy pri minimal'nykh predpolozheniyakh", vklyuchayushchee izuchenie dostatochnykh priznakov mebiusovosti, izometrichnosti, affinnosti. Nastoyashchaya rabota posvyashchena issledovaniyu geometricheskikh kriteriev mebiusovosti otobrazheniy ploskikh i prostranstvennykh oblastey. Polucheny nekotorye dostatochnye priznaki mebiusovosti pri minimal'nykh trebovaniyakh k otobrazheniyu.

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