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An Introduction to Harmonic Analysis
Abstract
First published in 1968, An Introduction to Harmonic Analysis has firmly established itself as a classic text and a favorite for students and experts alike. Professor Katznelson starts the book with an exposition of classical Fourier series. The aim is to demonstrate the central ideas of harmonic analysis in a concrete setting, and to provide a stock of examples to foster a clear understanding of the theory. Once these ideas are established, the author goes on to show that the scope of harmonic analysis extends far beyond the setting of the circle group, and he opens the door to other contexts by considering Fourier transforms on the real line as well as a brief look at Fourier analysis on locally compact abelian groups. This new edition has been revised by the author, to include several new sections and a new appendix.
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Citations
Cited by
Continuous and Discrete Wavelet Transforms
Heil, C. E., & Walnut, D. F. (1989) · SIAM Review · doi:10.1137/1031129 · Cited by 1,206
Uncertainty Principles and Signal Recovery
Donoho, D. L., & Stark, P. B. (1989) · SIAM Journal on Applied Mathematics · doi:10.1137/0149053 · Cited by 1,054
Durall, R., Keuper, M., & Keuper, J. (2020) · 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) · doi:10.1109/cvpr42600.2020.00791 · Cited by 26
An asymptotic formula for the variance of the number of zeroes of a stationary Gaussian process
Assaf, E., Buckley, J., & Feldheim, N. (2021) · arXiv · doi:10.48550/arxiv.2101.04052 · Cited by 3
Metadata
- Authors
- Katznelson, Y.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 2004-01-05
- OpenAlex
- W4300293005
- Cited by
- 1,366
- References
- 0
- FWCI
- 9.07
- Type
- book
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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