Mathematical Preliminaries

  • Anthony Teolis
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)


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 rnore 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 ([OS75], [Tre76]). The reader is assumed to have some familiarity with complex analysis and linear algebra.


Hilbert Space Hardy Space Discrete Fourier Transform Unconditional Basis Topological Isomorphism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Birkhäuser Boston 1998

Authors and Affiliations

  • Anthony Teolis
    • 1
    • 2
  1. 1.Naval Research LaboratoryUSA
  2. 2.AIMS, Inc.RockvilleUSA

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