integral representations for Dirac delta

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1: 1.17 Integral and Series Representations of the Dirac Delta
§1.17(ii) IntegralRepresentations
Other similar integral representations of the Dirac delta that appear in the physics literature include the following:
2: 10.59 Integrals
For an integral representation of the Dirac delta in terms of a product of spherical Bessel functions of the first kind see §1.17(ii), and for a generalization see Maximon (1991). …
3: 33.14 Definitions and Basic Properties
The function $s\left(\epsilon,\ell;r\right)$ has the following properties: …
4: 9.11 Products
For an integral representation of the Dirac delta involving a product of two $\mathrm{Ai}$ functions see §1.17(ii). …
5: Bibliography L
• Y. T. Li and R. Wong (2008) Integral and series representations of the Dirac delta function. Commun. Pure Appl. Anal. 7 (2), pp. 229–247.
• 6: 10.22 Integrals
See also §1.17(ii) for an integral representation of the Dirac delta in terms of a product of Bessel functions. …
7: 14.30 Spherical and Spheroidal Harmonics
Explicit Representation
14.30.8 $\int_{0}^{2\pi}\!\!\int_{0}^{\pi}\overline{Y_{{l_{1}},{m_{1}}}\left(\theta,% \phi\right)}Y_{{l_{2}},{m_{2}}}\left(\theta,\phi\right)\sin\theta\mathrm{d}% \theta\mathrm{d}\phi=\delta_{l_{1},l_{2}}\delta_{m_{1},m_{2}}.$
See also (34.3.22), and for further related integrals see Askey et al. (1986). … For a series representation of the product of two Dirac deltas in terms of products of spherical harmonics see §1.17(iii). …