This is a preview of subscription content, log in via an institution to check access.
Literature cited
O. V. Lopatka and I. I. Rudinskii, “The representation of even positive-definite bounded functions of an infinite number of variables,” Ukr. Mat. Zh.,34, No. 3, 378–380 (1982).
Yu. M. Berezanskii, Self-Adjoint Operators in Spaces of Functions of an Infinite Number of Variables [in Russian], Naukova Dumka, Kiev (1978).
A. A. Kalyuzhnyi, “On the integral representation of exponentially convex functions,” Ukr. Mat. Zh.,34, No. 3, 370–373 (1982).
Yu. M. Berezanskii, Expansions in Eigenfunctions of Selfadjoint Operators, Amer. Math. Soc. (1968).
Yu. M. Berezanskii, “Spectral representations of solutions of certain classes of functional and differential equations,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 7, 579–583 (1978).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 4, pp. 522–524, July–August, 1984.
Rights and permissions
About this article
Cite this article
Rudinskii, I.I. Integral representations of even positive-definite functions on nuclear spaces. Ukr Math J 36, 429–431 (1984). https://doi.org/10.1007/BF01066570
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01066570