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

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...

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Bibliographic Details
Main Author: Christensen, Ole
Format: eBook
Language:English
Published: Boston, MA Birkhäuser Boston 2010, 2010
Edition:1st ed. 2010
Series:Applied and Numerical Harmonic Analysis
Subjects:
Applied Mathematics
Functional Analysis
Fourier Analysis
Mathematical Methods In Physics
Engineering Mathematics
Special Functions
Mathematical And Computational Engineering
Mathematical Modeling And Industrial Mathematics
Physics
Mathematical Models
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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.

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