Notes on Fourier analysis (XXXVII): On the convergence factor of the Fourier series at a point

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Notes on Fourier analysis (XXXVII): On the convergence factor of the Fourier series at a point

Noboru Matsuyama

Source: Tohoku Math. J. (2) Volume 2, Number 2 (1950), 126-134.

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Part VIII: Shin-ichi Izumi. Notes on Fourier analysis (VIII): Local properties of Fourier series. Tohoku Math. J., Volume 1, Number 2 (1950), pp. 136-143.

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Part XIV: Noboru Matsuyama. Notes on Fourier analysis (XIV): Absolute Cesàro summability of Fourier series. Tohoku Math. J., Volume 1, Number 1 (1949), pp. 40-45.

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Part XVII: Sigeki Yano. Notes on Fourier analysis (XVII): The integrated Lipschitz condition of a function and Fejér mean of Fourier series. Tohoku Math. J., Volume 1, Number 1 (1949), pp. 50-56.

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Part XVIII: Gen-ichirô Sunouchi. Notes on Fourier analysis (XVIII): Absolute summability of series with constant terms. Tohoku Math. J., Volume 1, Number 1 (1949), pp. 57-65.

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Part XIX: Shigeki Yano. Notes on Fourier analysis (XIX): A remark on Riemann sums. Tohoku Math. J., Volume 2, Number 1 (1950), pp. 1-3.

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Part XX: Noboru Matsuyama. Notes on Fourier analysis (XX): On the Riesz logarithmic summability of the derived Fourier series. Tohoku Math. J., Volume 1, Number 1 (1949), pp. 91-94.

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Part XXV: Genichirô Sunouchi. Notes on Fourier analysis (XXV): Quasi-Tauberian theorem. Tohoku Math. J., Volume 1, Number 2 (1950), pp. 167-185.

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Part XXV: Noboru Matsuyama. Notes on Fourier analysis (XXV): On the $\vert C\vert $-summability of the Fourier Series. Tohoku Math. J., Volume 2, Number 1 (1950), pp. 51-56.

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Part XXVI: Tamotsu Tsuchikura. Notes on Fourier analysis (XXVI): Lipschitz condition of partial sums of Fourier series. Tohoku Math. J., Volume 2, Number 1 (1950), pp. 24-29.

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Part XXVI: Shin-ichi Izumi. Note on Fourier analysis (XXVI): Some negative examples in the theory of Fourier series. Tohoku Math. J., Volume 2, Number 1 (1950), pp. 74-95.

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Part XXXV: Shin-ichi Izumi. Note on Fourier analysis (XXXV). Tohoku Math. J., Volume 1, Number 3 (1950), pp. 285-302.

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Part XXXVI: Gen-ichiro Sunouchi. Notes on Fourier analysis (XXXVI): On certain applications of Wiener's Tauberian theorems. Tohoku Math. J., Volume 1, Number 3 (1950), pp. 303-312.

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Part XXXIX: Shin-ichi Izumi, Gen-ichirô Sunouchi. Notes on Fourier analysis (XXXIX):Theorems concerning Cesàro summability. Tohoku Math. J., Volume 1, Number 3 (1950), pp. 313-326.

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Part XL: Noboru Matsuyama. Notes on Fourier analysis (XL): On the absolute summability of the Fourier series. Tohoku Math. J., Volume 3, Number 1 (1951), pp. 39-44.

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Part XLIV: Gen-ichirô Sunouchi. Notes on Fourier analysis (XLIV): On the summation of Fourier series. Tohoku Math. J., Volume 3, Number 1 (1951), pp. 114-122.

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Part XLVI: Gen-ichirô Sunouchi. Notes on Fourier analysis (XLVI): A convergence criterion for Fourier series. Tohoku Math. J., Volume 3, Number 2 (1951), pp. 216-219.

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Part XLVIII: Shin-ichi Izumi, Gen-ichirô Sunouchi. Notes on Fourier analysis (XLVIII): Uniform convergence of Fourier series. Tohoku Math. J., Volume 3, Number 3 (1951), pp. 298-305.

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Part XLIX: S. Izumi, N. Matsuyama, T. Tsuchikura. Notes on Fourier analysis (XLIX): Some negative examples. Tohoku Math. J., Volume 5, Number 1 (1953), pp. 43-51.

Project Euclid: euclid.tmj/1178245350

Primary Subjects: 42.4X

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.tmj/1178245641
Mathematical Reviews number (MathSciNet): MR0043242
Zentralblatt MATH identifier: 0041.38805
Digital Object Identifier: doi:10.2748/tmj/1178245641

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