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978-3-319-57117-1
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9783319571171
978-3-319-57117-1
10.1007/978-3-319-57117-1
doi
ISI Library, Kolkata
QA319-329.9
PBKF
bicssc
MAT037000
bisacsh
PBKF
thema
515.7
23
Bogachev, V.I.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
Topological Vector Spaces and Their Applications
[electronic resource] /
by V.I. Bogachev, O.G. Smolyanov.
Cham :
Springer International Publishing :
Imprint: Springer,
2017.
X, 456 p.
online resource.
text
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rdamedia
online resource
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Springer Monographs in Mathematics,
1439-7382
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.
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.
Functional analysis.
Global analysis.
Mathematics.
Distribution (Probability theory.
Functional Analysis.
http://scigraph.springernature.com/things/product-market-codes/M12066
Global Analysis and Analysis on Manifolds.
http://scigraph.springernature.com/things/product-market-codes/M12082
Measure and Integration.
http://scigraph.springernature.com/things/product-market-codes/M12120
Probability Theory and Stochastic Processes.
http://scigraph.springernature.com/things/product-market-codes/M27004
Smolyanov, O.G.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783319571164
Printed edition:
9783319571188
Printed edition:
9783319860800
Springer Monographs in Mathematics,
1439-7382
https://doi.org/10.1007/978-3-319-57117-1
ZDB-2-SMA
EB
Mathematics and Statistics (Springer-11649)
427063
427063