TY  - BOOK
AU  - Bogachev,V.I.
AU  - Smolyanov,O.G.
ED  - SpringerLink (Online service)
TI  - Topological Vector Spaces and Their Applications
T2  - Springer Monographs in Mathematics,
SN  - 9783319571171
AV  - QA319-329.9 
U1  - 515.7 23
PY  - 2017///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Functional analysis
KW  - Global analysis
KW  - Mathematics
KW  - Distribution (Probability theory
KW  - Functional Analysis
KW  - Global Analysis and Analysis on Manifolds
KW  - Measure and Integration
KW  - Probability Theory and Stochastic Processes
N1  - 1. Introduction to the theory of topological vector spaces -- 2. Methods of constructing topological vector spaces -- 3. Duality -- 4. Differential calculus -- 5.Measures on linear spaces
N2  - 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
UR  - https://doi.org/10.1007/978-3-319-57117-1
ER  -