A Definition of Measure of Certain Infinite Series.
NAVAL WEAPONS LAB DAHLGREN VA
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The series u1 u2 u3 ... un ... with ut being an analytic function of t t 0 is studied. A function, unique except for an arbitrary integration constant, is used in defining the measure of the series. The intimate relationship between measure and partial sums, as well as the sums of convergent series, is shown.
- Theoretical Mathematics