Abstract
Every object described by a function f of a real variable gives rise to a “spectral” image described by the function
The right side makes sense for every ξ ∈ ℝ if f ∈ L1(ℝ). The function f̂ is called the Fourier transform of f. (Sometimes we write F(f) instead of f̂). The Fourier transform can be defined not only for a summable function but also for any tempered distribution.
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© 1994 Springer-Verlag Berlin Heidelberg
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Havin, V., Jöricke, B. (1994). Introduction. In: The Uncertainty Principle in Harmonic Analysis. Ergebnisse der Mathematik und ihrer Grenzgebiete / A Series of Modern Surveys in Mathematics, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78377-7_1
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DOI: https://doi.org/10.1007/978-3-642-78377-7_1
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