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An Introduction to Fourier Analysis and Generalised Functions
Open accessAbstract
This monograph on generalised functions, Fourier integrals and Fourier series is intended for readers who, while accepting that a theory where each point is proved is better than one based on conjecture, nevertheless seek a treatment as elementary and free from complications as possible. Little detailed knowledge of particular mathematical techniques is required; the book is suitable for advanced university students, and can be used as the basis of a short undergraduate lecture course. A valuable and original feature of the book is the use of generalised-function theory to derive a simple, widely applicable method of obtaining asymptotic expressions for Fourier transforms and Fourier coefficients.
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Citations
Cited by
Polarizability of a Two-Dimensional Electron Gas
Stern, F. (1967) · Physical Review Letters · doi:10.1103/physrevlett.18.546 · Cited by 1,747
Inokuti, M., Itikawa, Y., & Turner, J. E. (1978) · Reviews of Modern Physics · doi:10.1103/revmodphys.50.23 · Cited by 1,252
(2012) · Home Studio Setup · doi:10.4324/9780080928456-6 · Cited by 316
The shielding of a fixed charge in a high-density electron gas
Langer, J. S., & Vosko, S. H. (1960) · Journal of Physics and Chemistry of Solids · doi:10.1016/0022-3697(60)90037-8 · Cited by 288
Malcolm, J. D., & Nicol, E. J. (2016) · Physical Review B · doi:10.1103/physrevb.93.165433 · Cited by 85
Metadata
- Authors
- Lighthill, M. J.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 1958-01-01
- OpenAlex
- W1988591348
- Cited by
- 1,287
- References
- 0
- FWCI
- 7.90
- Type
- book
- Language
- en
- Open access
- green
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- CoChat. (2026). Citation check: An Introduction to Fourier Analysis and Generalised Functions. https://app.cochat.ai/papers/10.1017/cbo9781139171427
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- Lighthill, M. J. (1958). An Introduction to Fourier Analysis and Generalised Functions. Cambridge University Press eBooks. https://doi.org/10.1017/cbo9781139171427
Data sources
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).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
