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Book Review
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Book Information
Author(s):
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:
- 1.
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- 2.
- L. Ehrenpreis, Solution of some problems of division, Amer. J. Math. 76 (1954), 883-903. MR 68123
- 3.
- L. Fantappiè, Teoría de los funcionales analíticos y sus aplicaciones, Consejo Superior de Investigaciones Cientificas, Barcelona, 1943. MR 14598
- 4.
- A. Grothendieck, Sur certains espaces de fonctions holomorphes, J. Reine Angew. Math. 192 (1953), 35-64; 77-95. MR 58865
- 5.
- L. Hörmander, The analysis of linear partial differential operators. I, Distribution Theory and Fourier Analysis, Grundlehren Math. Wiss., vol. 256, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1983. MR 717035
- 6.
- M. Kashiwara, T. Kawai, and T. Kimura, Foundations of algebraic analysis, Princeton Mathematical Series, vol. 37, Princeton Univ. Press, Princeton, NJ, 1986. MR 855641
- 7.
- A. Korányi, A Poisson integral for homogeneous wedge domains, J. Analyse Math. 14 (1965), 275-284. MR 179809
- 8.
- G. Köthe, Dualität in der Funktionentheorie, J. Reine Angew. Math. 191 (1953), 30-49. MR 56824
- 9.
- G. Köthe, Die Randverteilungen analytischer Funktionen, Math. Z. 57 (1952), 13-33. MR 52032
- 10.
- G. Köthe, J. Sebastião e Silva et l'analyse fonctionnelle, An. Fac. Ci. Univ. Porto 56 (1973), 339-349. MR 398743
- 11.
- R. Meise, Representation of distributions and ultradistributions by holomorphic functions, Functional Analysis: Surveys and Recent Results, North-Holland Mathematics Studies, vol. 27 (Proc. Conf., Paderborn, 1976) Notas de Mat., pp. 189-208; no. 63, North-Holland, Amsterdam, New York, Oxford, 1977. MR 482169
- 12.
- J. Sebastião e Silva, Sobre a topologia dos espaços funcionais analíticos, Revista Fac. Ci. Lisboa, II Ser., A Ci. Mat. 1 (1950), 23-102. MR 40576
- 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.
- E. Stein and G. Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton Mathematical Series, vol. 32, Princeton Univ. Press, Princeton, N. J., 1971. MR 304972
- 15.
- D. C. Struppa, Luigi Fantappiè e la teoria dei funzionali analitici, Proceedings of the Conference "La Matematica Italiana tra le due guerre mondiali", Milano-Gargnano, 1986, Pitagora, Bologna, 1987, pp. 393-429. MR 985785
- 16.
- D. C. Struppa and C. Turrini, Hyperfunctions and boundary values of holomorphic functions, Nieuw Arch. Wisk. 4 (1986), 91-118. MR 864474
Additional Information:
Reviewer(s):
John
Horváth
Review Information:
Journal:
Bull. Amer. Math. Soc.
25
(1991),
162-170.
DOI:
10.1090/S0273-0979-1991-16056-8
PII:
S 0273-0979(1991)16056-8
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