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Book Review

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Book Information:

Authors: Richard D. Carmichael and Dragiša Mitrović
Title: Distributions and analytic functions
Additional book information: Pitman Research Notes in Mathematics Series, vol. 206, Longman Scientific & Technical, Harlow, England. ISBN 0-582-01856-0; John Wiley &Sons, New York, (USA only), 1989, xii+347 pp., $42.00. ISBN 0-470-21398-5.

References [Enhancements On Off] (What's this?)

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  • 2. Leon Ehrenpreis, Solution of some problems of division. I. Division by a polynomial of derivation, Amer. J. Math. 76 (1954), 883–903. MR 0068123
  • 3. L. Fantappié, Teoría de los Funcionales Analíticos y sus Aplicaciones, Consejo Superior de Investigaciones Cientificas, Barcelona, 1943 (Spanish). MR 0014598
  • 4. Alexandre Grothendieck, Sur certains espaces de fonctions holomorphes. I, J. Reine Angew. Math. 192 (1953), 35–64 (French). MR 0058865
  • 5. Lars Hörmander, The analysis of linear partial differential operators. I, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 256, Springer-Verlag, Berlin, 1983. Distribution theory and Fourier analysis. MR 717035
  • 6. Masaki Kashiwara, Takahiro Kawai, and Tatsuo Kimura, Foundations of algebraic analysis, Princeton Mathematical Series, vol. 37, Princeton University Press, Princeton, NJ, 1986. Translated from the Japanese by Goro Kato. MR 855641
  • 7. Adam Korányi, A Poisson integral for homogeneous wedge domains, J. Analyse Math. 14 (1965), 275–284. MR 0179809
  • 8. Gottfried Köthe, Dualität in der Funktionentheorie, J. Reine Angew. Math. 191 (1953), 30–49 (German). MR 0056824
  • 9. Gottfried Köthe, Die Randverteilungen analytischer Funktionen, Math. Z. 57 (1952), 13–33 (German). MR 0052032
  • 10. Gottfried Köthe, J. Sebasti ao e Silva et l’analyse fonctionnelle, An. Fac. Ci. Univ. Porto 56 (1973), no. 4, 339–349. MR 0398743
  • 11. Reinhold Meise, Representation of distributions and ultradistributions by holomorphic functions, Functional analysis: surveys and recent results (Proc. Conf., Paderborn, 1976) North-Holland, Amsterdam, 1977, pp. 189–208. North-Holland Math. Studies, Vol. 27; Notas de Mat., No. 63. MR 0482169
  • 12. J. Sebastião e Silva, On the topology of analytic functional spaces, Univ. Lisboa. Revista Fac. Ci. A. Ci. Mat. (2) 1 (1950), 23–102 (Portuguese, with French summary). MR 0040576
  • 13. C. L. da Silva Dias, Espaços vectoriais topológicos e sua aplicação nos espaços funcionais analiticos, Bol. Soc. Mat. São Paulo 5 (1950), 1-58.
  • 14. Elias M. Stein and Guido Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton University Press, Princeton, N.J., 1971. Princeton Mathematical Series, No. 32. MR 0304972
  • 15. Daniele C. Struppa, Luigi Fantappiè and the theory of analytic functionals, Italian mathematics between the two world wars (Italian) (Milan/Gargnano, 1986) Pitagora, Bologna, 1987, pp. 393–429 (Italian). MR 985785
  • 16. Daniele C. Struppa and Cristina Turrini, Hyperfunctions and boundary values of holomorphic functions, Nieuw Arch. Wisk. (4) 4 (1986), no. 2, 91–118. MR 864474

Review Information:

Reviewer: John Horváth
Journal: Bull. Amer. Math. Soc. 25 (1991), 162-170
DOI: http://dx.doi.org/10.1090/S0273-0979-1991-16056-8