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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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Analytic distribution kernels
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by J. Barros-Neto PDF
Trans. Amer. Math. Soc. 100 (1961), 425-438 Request permission
References
    J. Barros Neto, Alguns tipos de nucleos-distribuições, Thesis, Universidade de São Paulo, 1960.
  • J. Barros-Neto and F. E. Browder, The analyticity of kernels, Canadian J. Math. 13 (1961), 645–649. MR 132394, DOI 10.4153/CJM-1961-053-4
  • N. Bourbaki, Eléments de mathématique. XV. Première partie: Les structures fondamentales de l’analyse. Livre V: Espaces vectoriels topologiques. Chapitre I: Espaces vectoriels topologiques sur un corps valué. Chapitre II: Ensembles convexes et espaces localement convexes, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1189, Hermann & Cie, Paris, 1953 (French). MR 0054161
  • Felix E. Browder, Real analytic functions on product spaces and separate analyticity, Canadian J. Math. 13 (1961), 650–656. MR 132395, DOI 10.4153/CJM-1961-054-1
  • H. Whitney and F. Bruhat, Quelques propriétés fondamentales des ensembles analytiques-réels, Comment. Math. Helv. 33 (1959), 132–160 (French). MR 102094, DOI 10.1007/BF02565913
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  • A. Grothendieck, Erratum au mémoire: Produits tensoriels topologiques et espaces nucléaires, Ann. Inst. Fourier (Grenoble) 6 (1955/56), 117–120 (French). MR 83688, DOI 10.5802/aif.3223
  • A. Grothendieck, Espaces vectoriels topologiques, Universidade de São Paulo, Instituto de Matemática Pura e Aplicada, São Paulo, 1954 (French). MR 0077884
  • Gottfried Köthe, Über die Vollständigkeit einer Klasse lokalkonvexer Räume, Math. Z. 52 (1950), 627–630 (German). MR 38552, DOI 10.1007/BF02230717
    • L. Schwartz, Théorie des distributions, tomes I, II, Actualités Sci. Ind. no. 1091, 1122, Paris, Hermann & Cie, 1950, 1951. —, Théorie des noyaux, Proceedings of the International Congress of Mathematicians, 1950, American Mathematical Society, 1952. —, Produits tensoriels topologiques, Séminaire, Paris, 1953/54.
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Additional Information
  • © Copyright 1961 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 100 (1961), 425-438
  • MSC: Primary 46.40
  • DOI: https://doi.org/10.1090/S0002-9947-1961-0136991-6
  • MathSciNet review: 0136991