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On the Summability of Fourier's Series

G. H. Hardy

Type: Article

Publication Date: 1913-01-01

Citations: 43

DOI: https://doi.org/10.1112/plms/s2-12.1.365

Abstract

Fourier's series are concerned, Prof. Hobson's theorem is a special case of Prof. Young's; but Prof. Hobson's is much more general in another respect, viz. in that it is applicable to all series of normal functions, and not merely to Fourier's series.| I.e., with the possible exception of a set of values of x of measure zero.

Locations

  • Proceedings of the London Mathematical Society - View
  • Zenodo (CERN European Organization for Nuclear Research) - View - PDF

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Works That Cite This (36)

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+ Modulated ( C , α ) -ergodic theorems with non-integral orders for Dunford–Schwartz operators 2020 Takeshi Yoshimoto
+ Baire’s category theorem and trigonometric series 2000 Jean‐Pierre Kahane
+ New convergence and summability tests for fourier series 1943 K. S. K. Iyengar
+ PDF Chat On the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier Series 2013 Jitendra Kumar Kushwaha
+ On Convergence of Fourier Series 1991 V. М. Tikhomirov
+ Growth estimates for arbitrary sequences of multiple rectangular Fourier sums 2014 N. Yu. Antonov
+ Relative limit theorems in analysis 1960 J. L. Doob
+ Godfrey Harold Hardy 1950 E. C. Titchmarsh
+ PDF Chat On summability of Fourier series at a point 1984 G. D. Dikshit
+ Einige S�tze �ber Reihen von allgemeinen Orthogonalfunktionen 1922 Hans Rademacher

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