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Analisi Matematica 3 VOLUME 3: TEORIA DELLE DISTRIBUZIONI: La Sintesi Operatoria
Paperback
Series: Strumenti Per l'Esame, Book 10
Publisher: Independently Published
Published: Mar 11 2026
Pages: 336
Weight: 0.99
Height: 0.70 Width: 6.00 Depth: 9.00
Language: Italian
Questo volume rappresenta la conclusione del trattato in tre volumi, portando a compimento il percorso formativo attraverso la sintesi tra analisi reale e metodi operatori. Il testo introduce il formalismo delle distribuzioni (funzioni generalizzate), risolvendo le criticità del calcolo classico e permettendo una trattazione rigorosa delle singolarità . L'opera culmina nell'applicazione di tutti gli strumenti sviluppati nell'intera trilogia alla risoluzione delle equazioni alle derivate parziali (PDE), pilastro fondamentale della fisica matematica contemporanea.
Argomenti Chiave:
- Spazi delle funzioni di test e distribuzioni
- Derivazione nel senso delle distribuzioni e Delta di Dirac
- Trasformate di Fourier e Laplace per distribuzioni temperate
- Spazi di Sobolev e soluzioni deboli
- Equazioni del calore, delle onde e di Laplace
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