### Integral representations of positive definite functions of one variable, associated with operator $$$\frac{d^4}{dx^4}$$$

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Berezanskij Yu.M. *Eigenfunction expansion of self-adjoint operators*, Naukova dumka, Kyiv, 1965; 800 p. (in Russian)

Krejn M.G. "On one general method of expansion of positive definite kernels into elementary products", *Doklady AN SSSR*, 1946; 53(1): pp. 3-6. (in Russian)

Lopotko O.V. "Integral representation of even positive definite functions of one variable", *Ukrainian Math. J.*, 2010; 62(2): pp. 281-284. (in Ukrainian)

Lopotko O.V. "Integral representation of even positive definite functions of two variables", *Ukrainian Math. J.*, 2011; 63(6): pp. 844-853. (in Ukrainian)

Lopotko O.V. "Integral representation of positive definite functions of one variable, associated with operator $$$\frac{d^3}{dx^3}$$$", *Visnyk ONU*, 2013; 18(4(20)): pp. 31-38. (in Russian)

DOI: https://dx.doi.org/10.15421/241610

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