"Elementarnaya teoriya obobschyonnyh funktsij", napisannaya izvestnym polskim matematikami YA. Mikusinskim i R. Sikorskim, soderzhit prozrachnoe izlozhenie osnov teorii obobschyonnyh funktsij. V etoj knizhke izlozheno bolshinstvo osnovnyh ponyatij teorii obobschyonnyh funktsij i imeetsya ryad poleznyh primerov.Obobschyonnye funktsii opredelyayut kak "predely" posledovatelnostej nepreryvnyh funktsij i kak formalnye proizvodnye ot nepreryvnyh funktsij, dokazyvaya ekvivalentnost etih opredelenij.Etot podhod k teorii obobschyonnyh funktsij trebuet ot chitatelya znaniya tolko prostejshih ponyatij analiza. Pokazav, chto klass obobschyonnyh funktsij soderzhit ne tolko nepreryvnye funktsii, no i obshirnyj klass razryvnyh funktsij, a takzhe singulyarnye funktsii, kak delta-funktsii Diraka, avtory ustanavlivayut osnovnye pravila nad obobschyonnymi funktsiyami: differentsirovanie, integrirovanie, zamenu peremennogo i t.d. This book, "Elementarnaya teoriya obobschyonnyh funktsij Tom 1", by YA. Mikusinskij, is a replication of a book originally published before 1959. It has been restored by human beings, page by page, so that you may enjoy it in a form as close to the original as possible.
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