Functional Analysis Fundamentals and Applications /

• Main Author: Willem, Michel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Birkhäuser, 2013.
• Series: Cornerstones,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Partial differential equations.; Functional Analysis.; Analysis.; Partial Differential Equations.; Mathematics, general.

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...

Table of Contents:

• Preface
• The Integral
• Norm
• Lebesgue Spaces
• Duality
• Sobolev Spaces
• Capacity
• Elliptic Problems
• Appendix
• Epilogue
• References
• Index of Notations
• Index.