Hilbert Spaces

Pierre Brémaud ()
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Pierre Brémaud: École Polytechnique Fédérale de Lausanne

Chapter C1 in Mathematical Principles of Signal Processing, 2002, pp 133-144 from Springer

Abstract: Abstract Hilbert space theory is the fundamental tool in Fourier analysis of finite-energy signals. It is a huge chapter of functional analysis, but we shall only give the definitions and prove the basic facts used in this book, in particular, the projection theorem and the theorem of extension of isometries.

Date: 2002
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DOI: 10.1007/978-1-4757-3669-4_8

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