The Fourier Transform on the Real Line

  • Christopher Heil
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)


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.


Fourier Transform Real Line Pure Tone Inverse Fourier Transform Inversion Formula 
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Copyright information

© Birkhäuser Boston 2011

Authors and Affiliations

  1. 1.School of MathematicsGeorgia Institute of TechnologyAtlantaUSA

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