Topological Vector Spaces and Their Applications Softcover Repri Edition Contributor(s): Bogachev, V. I. (Author), Smolyanov, O. G. (Author) |
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ISBN: 3319860801 ISBN-13: 9783319860800 Publisher: Springer OUR PRICE: $151.99 Product Type: Paperback - Other Formats Published: July 2018 |
Additional Information |
BISAC Categories: - Mathematics | Functional Analysis - Mathematics | Mathematical Analysis - Mathematics | Probability & Statistics - General |
Dewey: 514.74 |
Series: Springer Monographs in Mathematics |
Physical Information: 0.94" H x 6.14" W x 9.21" (1.43 lbs) 456 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. Overall, 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. |