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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Holomorphic functions with values in locally convex spaces and applications to integral formulas
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Trans. Amer. Math. Soc. 111 (1964), 317-344 Request permission

Erratum: Trans. Amer. Math. Soc. 113 (1964), 547.
References
  • S. Bochner, Analytic and meromorphic continuation by means of Green’s formula, Ann. of Math. (2) 44 (1943), 652–673. MR 9206, DOI 10.2307/1969103
  • 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
  • —, Integration, Hermann, Paris, 1960.
  • L. Bungart and H. Rossi, On the closure of certain spaces of holomorphic functions, Math. Ann. 155 (1964), 173–183. MR 164059, DOI 10.1007/BF01344157
  • H. Cartan, Séminaire, École Normale Supérieure, 1951/52.
  • Henri Cartan, Espaces fibrés analytiques, Symposium internacional de topología algebraica International symposium on algebraic topology, Universidad Nacional Autónoma de México and UNESCO, Mexico City, 1958, pp. 97–121 (French). MR 0098196
  • Roger Godement, Topologie algébrique et théorie des faisceaux, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1252, Hermann, Paris, 1958 (French). Publ. Math. Univ. Strasbourg. No. 13. MR 0102797
  • Hans Grauert and Reinhold Remmert, Komplexe Räume, Math. Ann. 136 (1958), 245–318 (German). MR 103285, DOI 10.1007/BF01362011
  • Hans Grauert, Approximationssätze für holomorphe Funktionen mit Werten in komplexen Rämen, Math. Ann. 133 (1957), 139–159 (German). MR 98197, DOI 10.1007/BF01343296
  • Hans Grauert, Holomorphe Funktionen mit Werten in komplexen Lieschen Gruppen, Math. Ann. 133 (1957), 450–472 (German). MR 98198, DOI 10.1007/BF01343758
  • Alexandre Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. 16 (1955), Chapter 1: 196 pp.; Chapter 2: 140 (French). MR 75539
  • Alexandre Grothendieck, Sur certains espaces de fonctions holomorphes. I, J. Reine Angew. Math. 192 (1953), 35–64 (French). MR 58865, DOI 10.1515/crll.1953.192.35
  • E. Martinelli, Alcuni teoremi integrali per le funzioni analytiche di più variabili complesse, Rend. Accad. Italia 9 (1938), 269.
  • Raghavan Narasimhan, The Levi problem for complex spaces, Math. Ann. 142 (1960/61), 355–365. MR 148943, DOI 10.1007/BF01451029
  • H. Rossi, Global theory of several complex variables, Lecture notes by L. Bungart, Princeton Univ., Princeton, N. J., Spring 1961. L. Schwartz, Produit tensoriels topologiques et espaces nucléaires, Séminaire Inst. Henri Poincaré, 1953/54.
  • Laurent Schwartz, Théorie des distributions à valeurs vectorielles. I, Ann. Inst. Fourier (Grenoble) 7 (1957), 1–141 (French). MR 107812
  • —, Théorie des distributions. I, Hermann, Paris, 1959.
  • Jean-Pierre Serre, Faisceaux algébriques cohérents, Ann. of Math. (2) 61 (1955), 197–278 (French). MR 68874, DOI 10.2307/1969915
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Additional Information
  • © Copyright 1964 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 111 (1964), 317-344
  • MSC: Primary 32.25; Secondary 32.49
  • DOI: https://doi.org/10.1090/S0002-9947-1964-0157004-9
  • MathSciNet review: 0157004