Abstract
This chapter lays the basic mathematical foundations of the book, establishes notation, and defines various spaces and operators necessary for the development of the material. It is meant more as a reference and index of notation than a comprehensive mathematical introduction. Most of the basic notation and concepts that are used may be found in standard texts on real analysis ([Roy68], [Ben76]), operator theory ([GG80]), and discrete signal processing ([0875], [Tre76]). The reader is assumed to have some familiarity with complex analysis and linear algebra.
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Teolis, A. (2017). mathematical Premilinaries. In: Computational Signal Processing with Wavelets. Modern Birkhäuser Classics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-65747-9_2
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DOI: https://doi.org/10.1007/978-3-319-65747-9_2
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-65746-2
Online ISBN: 978-3-319-65747-9
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