Appendix b: hilbert spaces overview

OpenStax

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Fields and complex numbers

2 The complex field

4 Euler's formula

5 Calculating with complex numbers

Cauchy-schwarz inequality

Common hilbert spaces

Orthonormal basis expansions

2 Alternate representation

3 Finding the coefficients

4 Simplifying our equation

6 Extending the dimension and space

Haar wavelet basis

Orthonormal bases in real and complex spaces

Plancharel and parseval's theorems

Approximation and projections in hilbert space

Source: OpenStax, Signals and systems. OpenStax CNX. Aug 14, 2014 Download for free at http://legacy.cnx.org/content/col10064/1.15

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