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References (31)
-
W. Young
On the Fourier Series of Bounded FunctionsProceedings of The London Mathematical Society
-
J. Kahane (1976)
Brownian Motion and Classical AnalysisBulletin of The London Mathematical Society, 8
-
A. Fan (1991)
Equivalence et orthogonalité des mesures aléatoires engendrées par martingales positives homogènesStudia Mathematica, 98
-
Y. Katznelson (1968)
An Introduction to Harmonic Analysis: Interpolation of Linear Operators -
Masako Izumi, Shinobu Izumi, J. Kahane (1965)
Théorèmes élémentaires sur les séries de fourier lacunairesJournal d'Analyse Mathématique, 14
-
D. Austin (1966)
A Sample Function Property of MartingalesAnnals of Mathematical Statistics, 37
-
J. Marcinkiewicz, A. Zygmund (1939)
On the summability of double Fourier seriesFundamenta Mathematicae, 32
-
L. Carleson (1966)
On convergence and growth of partial sums of Fourier seriesActa Mathematica, 116
-
Fan Hua (1993)
Quelques propriétés des produits de RieszBulletin Des Sciences Mathematiques, 117
-
G. Pisier (1983)
Arithmetic characterizations of Sidon setsBulletin of the American Mathematical Society, 8
-
D. Gabor (1946)
Theory of communicationJournal of the Institution of Electrical Engineers - Part I: General, 94
-
J. Peyriére (1990)
Almost everywhere convergence of lacunary trigonometric series with respect to Riesz productsJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 48
-
G. Pólya (1949)
Remarks on Characteristic Functions -
P. Kennedy (1964)
Note on Fourier Series with Hadamard GapsJournal of The London Mathematical Society-second Series
-
D. Burkholder, R. Gundy, M. Silverstein (1971)
A maximal function characterization of the classTransactions of the American Mathematical Society, 157
-
Shelby Kilmer, Sadahiro Saeki (1988)
On Riesz Product Measures; Mutual Absolute Continuity and SingularityAnnales de l'Institut Fourier, 38
-
M. Riesz (1988)
Sur Les Séries de Dirichlet et Les Séries Entières -
D. Burkholder, R. Gundy (1970)
Extrapolation and interpolation of quasi-linear operators on martingalesActa Mathematica, 124
-
J. Bourgain (1985)
Sidon sets and Riesz productsAnnales de l'Institut Fourier, 35
-
L. Poussin, Charles de (1920)
Lecons sur l'approximation des Fonctions d'une Variable ReelleThe Mathematical Gazette, 10
-
A. Zygmund
Sur les fonctions conjuguéesFundamenta Mathematicae, 13
-
Daniel Rider (1975)
Randomly continuous functions and Sidon setsDuke Mathematical Journal, 42
-
F. Parreau (1990)
Ergodicité et pureté des produits de RieszAnnales de l'Institut Fourier, 40
-
G. Freud (1962)
Über trigonometrische Approximation und Fouriersche ReihenMathematische Zeitschrift, 78
-
H. Hahn (1907)
Leçons sur les séries trigonométriquesMonatshefte für Mathematik und Physik, 18
-
E. Fischer (1904)
Zwei neue Beweise für den “Fundamentalsatz der Fourierschen Konstanten”Monatshefte für Mathematik und Physik, 15
-
F. Lukács
Über die Bestimmung des Sprunges einer Funktion aus ihrer Fourierreihe.Journal für die reine und angewandte Mathematik (Crelles Journal), 1920
-
H. Helson (1983)
Harmonic Analysis -
P. Fatou (1906)
Séries trigonométriques et séries de TaylorActa Mathematica, 30
-
A. Hurwitz (1903)
Über die Fourierschen Konstanten integrierbarer FunktionenMathematische Annalen, 57
-
G. Hardy
Theorems Relating to the Summability and Convergence of Slowly Oscillating SeriesProceedings of The London Mathematical Society
- Publisher
- Springer Berlin Heidelberg
- Copyright
- © Springer-Verlag Berlin Heidelberg 2006
- ISBN
- 978-3-540-28945-6
- Pages
- 159 –192
- DOI
- 10.1007/978-3-540-30721-1_6
- Publisher site
- See Chapter on Publisher Site
Abstract
[The present article is organized around four themes: 1. the theorem of Fejér, 2. the theorem of Riesz-Fischer, 3. boundary values of analytic functions, 4. Riesz products and lacunary trigonometric series. This does not cover the whole field of the Hungarian contributions to commutative harmonic analysis. A final section includes a few spots on other beautiful matters. Sometimes references are given in the course of the text, for example at the end of the coming paragraph on Fejér. Other can be found at the end of the article.]
Published: Jun 24, 2010
Keywords: Fourier Series; Fourier Coefficient; Trigonometric Series; Trigonometric System; Summation Process