Date

1966

Document Type

Thesis

Degree

Master of Science

Department

Mathematics

First Adviser

Stengle, Gilbert A.

Abstract

The object ofthis paper is to establish that the power series of a certain functions on Hilbert space with Gaussian measure are pointwise convergent. The main result states that the power series of such functions converges uniformly on the image of a sphere under a certain mapping in the definition of the measure. This region looks like an ellipse with the axes tending to zero in higher dimensions.

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