This article is cited in 1 paper

The existence and uniqueness of a solution of Poisson's equation for generalized measures in an infinite-dimensional space

V. Yu. Bentkus

M. V. Lomonosov Moscow State University

Abstract: It is proved that a solution of Poisson's equation in the space of generalized measures on an infinite-dimensional, separable Hilbert space exists and is unique. Any generalized function concentrated at a point in an infinite-dimensional Hilbert space is equal to zero.

UDC: 513.8

Received: 28.05.1975

 English version: Mathematical Notes, 1976, 20:6, 1020–1025

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