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Functional analysis : fundamentals and applications

Author: Michel Willem
Publisher: New York : Birkhäuser, 2013.
Series: Cornerstones (Birkhäuser Verlag)
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The goal of this work is to present the principles of functional analysis in a clear and concise way. The first three chapters of Functional Analysis: Fundamentals and Applications describe the general notions of distance, integral and norm, as well as their relations. The three chapters that follow deal with fundamental examples: Lebesgue spaces, dual spaces and Sobolev spaces. Two subsequent chapters develop  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Michel Willem
ISBN: 9781461470045 1461470048 146147003X 9781461470038
OCLC Number: 857663432
Description: 1 online resource (xiii, 213 pages) : illustrations
Contents: Distance --
The Integral --
Norms --
Lebesgue Spaces --
Duality --
Sobolev Spaces --
Capacity --
Elliptic Problems --
Appendix: Topics in Calculus --
Epilogue: Historical Notes on Functional Analysis.
Series Title: Cornerstones (Birkhäuser Verlag)
Other Titles: Principes d'analyse Fonctionnelle.
Responsibility: Michel Willem.

Abstract:

This book presents the principles of functional analysis. It includes recent simple proofs of the isoperimetric and the Faber-Krahn inequality, an elementary introduction to capacity theory, and a  Read more...

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From the reviews:"The book is a very good contribution to the literature in a classical field of analysis. It should be of interest to specialists in pure and applied functional analysis and it can Read more...

 
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