Abstract
One of the earliest and most famous examples of a generalized function or distribution is “Dirac’s delta function”. It was originally defined by Dirac (1926–1927) as a function with the following properties (x 0 is a given real number): (a)
(b) \( \smallint _\mathbb{R} f(x)\delta _{x0} (x)dx = f(x0) \) for all sufficiently smooth functions f: ℝ → ℝ.
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© 2003 Springer Science+Business Media New York
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Blanchard, P., Brüning, E. (2003). Introduction. In: Mathematical Methods in Physics. Progress in Mathematical Physics, vol 26. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0049-9_1
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DOI: https://doi.org/10.1007/978-1-4612-0049-9_1
Publisher Name: Birkhäuser, Boston, MA
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