Complete Orthonormal Systems

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

Chapter C2 in Mathematical Principles of Signal Processing, 2002, pp 145-154 from Springer

Abstract: Abstract The result of this section is the pillar of the L 2-theory of Fourier series and wavelet expansions. It concerns the possibility of decomposing a vector of a Hilbert space along an orthonormal base.

Keywords: Separable Hilbert Space; Orthonormal System; Wavelet Expansion; Reconstruction Formula; Complete Orthonormal System (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-1-4757-3669-4_9

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