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On Summable Trigonometric Integrals

Published online by Cambridge University Press:  24 October 2008

S. Verblunsky
S. Verblunsky
Affiliation:
Magdalene College.
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Extract

1. The analogue for trigonometric integrals of de la Vallée Poussin's classical theorem concerning the uniqueness of the trigonometrical development has recently been obtained by M. Jacob in the following form.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 27 , Issue 2 , April 1931 , pp. 174 - 183
Copyright
Copyright © Cambridge Philosophical Society 1931

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References

* Jacob, M., Math. Annalen, 97 (1927), 663–674.CrossRefGoogle Scholar

† Zygmund, , Math. Zeit. 25 (1926), 274–290.CrossRefGoogle Scholar

‡ Verblunsky, , Proc. Lond. Math. Soc. 31 (1930), 370–386, referred to as T.CrossRefGoogle Scholar

§ Grimshaw, M. E., Proc. Lond. Math. Soc. 29 (1928), 243–256.Google Scholar

* Cf. Hobson, , Theory of Functions of a Real Variable, ii (1926), 742–752.Google Scholar

* Pollard, , Proc. Lond. Math. Soc. 25 (1926), 451–468.CrossRefGoogle Scholar