The Divergence of trigonometric series /
P. B. Kennedy and Siobhan O'Shea, University College, Cork, Ireland

Description

Main Author

Kennedy, P. B.

Related Names

University College, Cork.
United States. Air Force.
O'Shea, Siobhan

Language(s)

English

Published

[Washington, D.C.] : [United States Air Force, Office of Scientific Research], [1958]

Subjects

Fourier series.
Trigonometry.

Summary

A method due to Steinhaus, for the construction of everywhere-divergent trigonometric series with coefficients tending to zero, is generalized in a simple way. The generalization leads to some information concerning a theorem due to Zygmund, n the power of the set of points of convergence of certain trigonometric series with gaps. In ℗ʹ3 the solution is given of a problem related to that considered by Steinhaus.

Note

The research was carried out at University College, Cork, Ireland.
The research reported in this document has been sponsored in part by the Air Force Office of Scientific Research of the Air Research and Development Command, United States Air Force, through its European Office, under contract AF 61(514)-1399.
Technical Note No. 3.
ASTIA Doc. AD 162 164.

Physical Description

13 leaves ; 26 cm.

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