On functions analytic in a half-plane

Author:
Daniel Waterman

Journal:
Trans. Amer. Math. Soc. **81** (1956), 167-194

MSC:
Primary 30.0X

DOI:
https://doi.org/10.1090/S0002-9947-1956-0076030-7

MathSciNet review:
0076030

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References | Similar Articles | Additional Information

**[1]**R. M. Gabriel,*An improved result concerning the zeros of a function regular in a half-plane*, J. London Math. Soc. vol. 4 (1929) pp. 307-309. MR**0033400 (11:435f)****[2]**G. H. Hardy and J. E. Littlewood,*Some new properties of Fourier constants*, Math. Ann[ill] vol. 97 (1926) pp. 159-209. MR**1512359****[3]**-,*A maximal theorem with function-theoretic applications*, Acta Math. vol. 54 (1930) pp. 81-116. MR**1555303****[4]**-,*The strong summability of Fourier series*, Fund. Math. vol. 25 (1935) pp. 162-189.**[5]**E. Hille and J. D. Tamarkin,*On the absolute integrability of Fourier transforms*, Fund. Math. vol. 25 (1935) pp. 329-352.**[6]**J. E. Littlewood and R. E. A. C. Paley,*Theorems on Fourier series and power series*II. Proc. London Math. Soc. vol. 42 (1937) pp. 52-89.**[7]**J. Marcinkiewicz and A. Zygmund,*On a theorem of Lusin*, Duke Math. J. vol. 4 (1938) pp. 473-485. MR**1546069****[8]**E. Trombley, Unpublished manuscript.**[9]**A. Zygmund,*Trigonometrical series*, Warsaw, 1935.**[10]**-,*On certain integrals*, Trans. Amer. Math. Soc. vol. 55 (1944) pp. 170-204. MR**0009966 (5:230b)**

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DOI:
https://doi.org/10.1090/S0002-9947-1956-0076030-7

Article copyright:
© Copyright 1956
American Mathematical Society