Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Birkhäuser Boston
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-0-8176-4687-5_9
Published:
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4686-8
Online ISBN: 978-0-8176-4687-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)
Keywords
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.