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The Fourier Transform on the Real Line

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A Basis Theory Primer

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

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In Part II we developed the abstract theory of bases and frames. Now in Part III we turn to more concrete settings, and examine some frames and bases that have a specific structure. In Chapter 10 we will consider systems of weighted exponentials and systems of translates, while in Chapter 11 we turn to Gabor systems and then to wavelets in Chapter 12. Part IV, consisting of Chapters 13 and 14, is devoted to Fourier series.

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Authors and Affiliations

  1. School of Mathematics, Georgia Institute of Technology, Atlanta, GA, 30332-0160, USA

    Christopher Heil

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  1. Christopher Heil
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Correspondence to Christopher Heil .

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© 2011 Birkhäuser Boston

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Heil, C. (2011). The Fourier Transform on the Real Line. In: A Basis Theory Primer. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4687-5_9

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