Functions, Spaces, and Expansions Mathematical Tools in Physics and Engineering /

• Main Author: Christensen, Ole (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2010.
• Series: Applied and Numerical Harmonic Analysis
• Subjects: Mathematics.; Fourier analysis.; Functional analysis.; Special functions.; Mathematical models.; Physics.; Applied mathematics.; Engineering mathematics.; Mathematical Modeling and Industrial Mathematics.; Fourier Analysis.; Functional Analysis.; Appl.Mathematics/Computational Methods of Engineering.; Mathematical Methods in Physics.; Special Functions.

This graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although t...

Table of Contents:

• Mathematical Background
• Normed Vector Spaces
• Banach Spaces
• Hilbert Spaces
• The Lp-spaces
• The Hilbert Space L2
• The Fourier Transform
• An Introduction to Wavelet Analysis
• A Closer Look at Multiresolution Analysis
• B-splines
• Special Functions
• Appendix A
• Appendix B.