Topological vector spaces and their applications [Documento electrónico] / V.I. Bogachev, O.G. Smolyanov
Language: eng.Country: US - United States of America.Publication: Cham : Springer International Publishing, 2017Description: X, 456 p.ISBN: 978-3-319-57117-1.Series: Springer monographs in mathematicsSubject - Topical Name: Análise funcional | Análise global (Matemática) | 4515 | Distribuição (Teoria das probabilidades) Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT | Não Ficção | QA320 FCT 97542 (Browse shelf(Opens below)) | 1 | Available |
Colocação: Online
This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book explores some of such applications connected with differential calculus and measure theory in infinite-dimensional spaces. These applications are a central aspect of the book, which is why it is different from the wide range of existing texts on topological vector spaces. In addition, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces. The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis.
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