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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Singular integral operators and spherical harmonics
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by J. Horváth PDF
Trans. Amer. Math. Soc. 82 (1956), 52-63 Request permission
References
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  • A. P. Calderon and A. Zygmund, On the existence of certain singular integrals, Acta Math. 88 (1952), 85–139. MR 52553, DOI 10.1007/BF02392130
  • (a) —, On singular integrals, Bull. Amer. Math. Soc. Abstract 59-5-535. (b) A. P. Calderón, Integrales singulares, Segundo symposium sobre algunos problemas matemáticos que se están estudiando en Latino América, Villavicencio-Mendoza 1954, pp. 319-328.
  • A. P. Calderón and A. Zygmund, Singular integrals and periodic functions, Studia Math. 14 (1954), 249–271 (1955). MR 69310, DOI 10.4064/sm-14-2-249-271
  • E. Cartan, Nombres complexes, Encyclop. Sc. Math., éd. franc., I 5., 1908 = Oeuvres complètes, Partie II. vol. 1 pp. 107-246. C. C. Chevalley, Théorie des groupes de Lie, vol. 2 Paris, 1951. A. Erdé1yi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher transcendental functions, vol. 1, New York, 1953. —, ibid. vol. 2. G. Giraud, Sur une classe générale d’équations à intégrales principales, C.R. Acad. Sci. Paris vol. 202 (1936) pp. 2124-2127. —, Complément à un résultat sur les équations à intégrale principales, C.R. Acad. Sci. Paris vol. 203 (1936) pp. 292-294.
  • A. Grothendieck, Espaces vectoriels topologiques, Universidade de São Paulo, Instituto de Matemática Pura e Aplicada, São Paulo, 1954 (French). MR 0077884
  • Jean Horváth, Sur l’itération de la transformée de Hilbert d’une distribution complexe, C. R. Acad. Sci. Paris 237 (1953), 1480–1482 (French). MR 60056
  • —, Hilbert transforms of distributions in ${R^n}$, Proceedings of the International Congress of Mathematicians, Amsterdam, 1954, pp. 122-123. —, Transformadas de Hilbert de distribuciones, Segundo symposium sobre algunos problemas matemáticos que se están estudiando en Latino America, Villavicencio-Mendoza, 1954, pp. 61-70.
  • S. G. Mihlin, Singular integral equations, Uspehi Matem. Nauk (N.S.) 3 (1948), no. 3(25), 29–112 (Russian). MR 0027429
  • L. Schwartz, Théorie des distributions, vol. 1, Paris, 1950. —, ibid., vol. 2, Paris, 1951.
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Additional Information
  • © Copyright 1956 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 82 (1956), 52-63
  • MSC: Primary 44.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1956-0086937-2
  • MathSciNet review: 0086937