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.
KeywordsHilbert Space Hardy Space Discrete Fourier Transform Unconditional Basis Topological Isomorphism
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