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On some series of functions

Published online by Cambridge University Press:  24 October 2008

R. E. A. C. Paley
R. E. A. C. Paley
Affiliation:
Trinity College
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Extract

We now consider some properties of “almost all” series

where the numbers vary independently in the interval (0, 1). What we need is a definition of measure in the space of sequences or, what is the same thing, in the space

of infinitely many dimensions. Such a definition has been given by Steinhaus. He defines a correspondence between the cube (7.2) and the interval (0,1) in the following way:

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 26 , Issue 4 , October 1930 , pp. 458 - 474
Copyright
Copyright © Cambridge Philosophical Society 1930

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References

REFERENCES

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