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Mathematical Notes, 2020
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Periodica Mathematica Hungarica, 1992
The present work of the author is a sequel to his earlier paper (*) [Acta Math. Hung. 57, No. 1/2, 169-179 (1991; Zbl 0757.41027)]. Several results relating the Hermite-Fourier series are investigated including the norm estimates for the ordinary and conjugate Abel-Poisson means.
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The present work of the author is a sequel to his earlier paper (*) [Acta Math. Hung. 57, No. 1/2, 169-179 (1991; Zbl 0757.41027)]. Several results relating the Hermite-Fourier series are investigated including the norm estimates for the ordinary and conjugate Abel-Poisson means.
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Strong Convergence of Two-Dimensional Walsh–Fourier Series
Ukrainian Mathematical Journal, 2013We prove that certain means of quadratic partial sums of the two-dimensional Walsh–Fourier series are uniformly bounded operators acting from the Hardy space Hp to the space Lp for 0
G. Tephnadze
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ACM SIGSPATIAL International Workshop on Advances in Geographic Information Systems, 2018
Elijah Liflyand
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Elijah Liflyand
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Canadian Mathematical Bulletin, 1983
AbstractThis note contains a strengthened version of the following well-known theorem: there exists a continuous function whose Fourier series diverges at a point.
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AbstractThis note contains a strengthened version of the following well-known theorem: there exists a continuous function whose Fourier series diverges at a point.
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Russian Mathematical Surveys, 1961
CONTENTS § 1. Introduction § 2. Definitions and auxiliary propositions § 3. Theorems on summable series § 4. Zahorski' s construction § 5. Haar series § 6. Basic series § 7. Trigonometric series § 8. Walsh series § 9. Series in terms of complete orthonormal systems § 10. Weakly unconditionally convergent series § 11.
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CONTENTS § 1. Introduction § 2. Definitions and auxiliary propositions § 3. Theorems on summable series § 4. Zahorski' s construction § 5. Haar series § 6. Basic series § 7. Trigonometric series § 8. Walsh series § 9. Series in terms of complete orthonormal systems § 10. Weakly unconditionally convergent series § 11.
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ON TRIGONOMETRIC FOURIER SERIES
Mathematics of the USSR-Sbornik, 1976This paper studies the problem of the convergence and summability of simple and multiple trigonometric Fourier series.Bibliography: 21 titles.
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Periodic Hyperfunctions and Fourier Series Fourier Series
1992We have now almost finished the general discussion of hyperfunctions. From now on we shall attempt to apply this general theory to various cases. In this chapter we study periodic hyperfunctions. Then we shall see that the theory of Fourier series is naturally absorbed into the theory of Fourier transformations.
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Representation of the Fourier Transform by Fourier Series
Journal of Mathematical Imaging and Vision, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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