This is a preview of subscription content, log in via an institution to check access.
Literature Cited
A. V. Skorokhod, “Integral surfaces and Green's formula in Hilbert space,” in: Theory of Probability and Mathematical Statistics [in Russian], Vol. 2, Izd. Kiev Un-ta, Kiev (1970), pp. 172–175.
V. A. Goodman, “A divergence theorem for Hilbert space,” Trans. Amer. Math. Soc.,164, 411–426 (1972).
I. Ya. Dorfman, “Means and the Laplacian of functions on Hilbert space,” Matem. Sb.,81(123), No. 2, 192–208 (1970).
I. Ya. Dorfman, “Some problems on the theory of means and Levy's Laplacian”, in: Proceedings of the All-Union School on Differential Equations in an Infinite Number of Independent Variables, and Dynamical Systems with an Infinite Number of Degrees of Freedom, Dilizhan, 1973 [in Russian], Izd. ArmSSR, Erevan (1974), pp. 62–78.
G. E. Shilov, “Some problems on analysis in Hilbert space. II,” in: Mathematical Research [in Russian], Vol. 2, No. 4, Izd. Akad. Nauk, Moldavian SSR. Kishinev (1967), pp. 166–186.
I. C. Gohberg and M. G. Krein, Introduction to the Theory of Linear Nonselfadjoint Operators, Am. Math. (1969).
I. Ya. Dorfman, “Sheaf theory methods in the theory of Levy's Laplacian,” Usp. Mat. Nauk,28, No. 6, 203–204 (1973).
G. E. Shilov, Mathematical Analysis. Functions of Several Variables [in Russian], Nauka, Moscow (1972).
S. Lang, Differential Manifolds, Addison-Wesley (1972).
R. C. Gunning and H. Rossi, Analytic Functions of Several Complex Variables, Prentice-Hall (1965).
I. Ya. Dorfman, “Sheaf theory methods in the theory of Levy's Laplacian,” Izv. Akad. Nauk ArmSSR, Ser. Matematika, No. 6, 486–503 (1974).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 17, No. 5, pp. 1023–1031, September–October, 1976.
Rights and permissions
About this article
Cite this article
Dorfman, I.Y. The divergence of vector fields on Hilbert space. Sib Math J 17, 757–763 (1976). https://doi.org/10.1007/BF00966374
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00966374