SU\G(𝔸)/K·U

Note on the theory of series (XXIII): On the partial sums of Fourier series

G. H. Hardy, J. E. Littlewood

Type: Article

Publication Date: 1944-06-01

Citations: 34

DOI: https://doi.org/10.1017/s0305004100018223

Locations

  • Mathematical Proceedings of the Cambridge Philosophical Society - View

Similar Works

Action Title Year Authors
+ Notes on the Theory of Series (XVIII): on the Convergence of Fourier Series 1935 G. H. Hardy
J. E. Littlewood
+ Corrections: On the Partial Sums of Certain Fourier Series 1937 Otto Szász
+ PDF Chat Notes on Fourier analysis (XLIV): On the summation of Fourier series 1951 Gen-ichirô Sunouchi
+ PDF Chat On the partial sums of Fourier series 1930 R. E. A. C. Paley
A. Zygmund
+ On the Partial Sums of a Fourier Series 2007 Horst Alzer
Stamatis Koumandos
+ Notes on Fourier Analysis (XXI): On the Degree of Approximation of the Partial Sums of a Fourier Series 1950 Shin‐Ichi Izumi
+ PDF Chat Notes on Fourier analysis (XXVI): Lipschitz condition of partial sums of Fourier series 1950 Tamotsu Tsuchikura
+ Notes on Fourier Series (VIII). On the Behaviour of Partial Sums and Fejér's Means of Fourier Series 1939 Shin‐Ichi Izumi
Tatsuo Kawata
+ On the General Partial Sums of a Fourier Series 1945 Liang-Pi Chu
+ Note on Representations of the Partial Sum of a Fourier's Series 1917 Dunham Jackson
+ On the Partial Sums of Certain Fourier Series 1937 Otto Szász
+ PDF Chat On the order of the partial sums of a Fourier series 1938 W. C. Randels
+ A Note on the Theory of Fourier Series 2015 S. Minakshisundaram
+ PDF Chat On the order of the partial sums of Fourier power series 1940 Otto Szász
+ Note on the Selective Summation of Fourier Series 1963 J. H. Matthewman
+ Notes on the Theory of Series (XV): On the Series Conjugate to the Fourier Series of a Bounded Function 1931 G. H. Hardy
J. E. Littlewood
+ Discussions: Note on the Summation of Series 1923 Louis Weisner
+ Notes on Fourier Analysis (XI): On the absolute summability of Fourier series 1949 Gen-ichirô Sunouchi
+ PDF Chat On the logarithmic means of rearranged partial sums of a Fourier series 1942 Otto Szász
+ PDF Chat Fourier series, II. Order of partial sums 1956 Masako Satô

Works That Cite This (14)

Action Title Year Authors
+ PDF Chat On generalized Walsh Fourier series 1958 Chinami Watari
+ PDF Chat Some theorems on $L\sp{p}$ Fourier series 1959 Richard P. Gosselin
+ On the almost everywhere convergence of Fourier series 1967 B. S. Yadav
+ PDF Chat Convexity theorems 1949 R. Salem
+ THE ABSOLUTE CONVERGENCE OF TRIGONOMETRIC SERIES 2003 Robert Fefferman
+ RIEMANN'S THEORY OF TRIGONOMETRIC SERIES 2003 Robert Fefferman
+ PDF Chat On generalized Walsh Fourier series, I 1957 Chinami Watari
+ PDF Chat John Edensor Littlewood 1979 J. C. Burkill
+ INTERPOLATION OF LINEAR OPERATIONS. MORE ABOUT FOURIER COEFFICIENTS 2003 Robert Fefferman
+ Preface 2003 Robert Fefferman

Works Cited by This (2)

Action Title Year Authors
+ Theorems on Fourier Series and Power Series (II)<sup>†</sup> 1937 J. E. Littlewood
R. E. A. C. Paley
+ PDF Chat A maximal theorem with function-theoretic applications 1930 G. H. Hardy
J. E. Littlewood