Vol. 115, No. 2, 1984

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On semigroups of convolution operators in Hilbert space

Jorge Donato Samur

Vol. 115 (1984), No. 2, 463–479
Abstract

Given an infinitely divisible probability measure on a real separable Hilbert space H and the infinitesimal generator A of the associated semigroup of convolution operators acting on the Banach space of bounded uniformly continuous real functions on H, we describe the action of A on certain classes of differentiable functions.

Mathematical Subject Classification 2000
Primary: 60B11
Secondary: 47B38, 47D07, 60H99
Milestones
Received: 23 March 1983
Published: 1 December 1984
Authors
Jorge Donato Samur