Review: Richard D. Carmichael and Dragiša Mitrović, Distributions and analytic functions
John Horváth
Source: Bull. Amer. Math. Soc. (N.S.) Volume 25, Number 1
(1991), 162-170.
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Richard D. Carmichael, Dragiša Mitrović, Distributions and analytic functions. 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
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Permanent link to this document: http://projecteuclid.org/euclid.bams/1183657062
References
1. A. Cerezo, J. Chazarain, and A. Piriou, Introduction aux hyperfonctions, Hyperfunctions and Theoretical Physics, Lecture Notes in Math., vol. 449, Springer-Verlag, Berlin, Heidelberg, New York, 1975, pp. 1-53.
Zentralblatt MATH: 0303.35074
Mathematical Reviews (MathSciNet): MR394189
2. L. Ehrenpreis, Solution of some problems of division, Amer. J. Math. 76 (1954), 883-903.
Zentralblatt MATH: 0056.10601
Mathematical Reviews (MathSciNet): MR68123
Digital Object Identifier: doi:10.2307/2372662
3. L. Fantappiè, Teoría de los funcionales analíticos y sus aplicaciones, Consejo Superior de Investigaciones Cientificas, Barcelona, 1943.
Mathematical Reviews (MathSciNet): MR14598
4. A. Grothendieck, Sur certains espaces de fonctions holomorphes, J. Reine Angew. Math. 192 (1953), 35-64; 77-95.
Zentralblatt MATH: 0051.08704
Mathematical Reviews (MathSciNet): MR58865
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.
Zentralblatt MATH: 0521.35001
Mathematical Reviews (MathSciNet): MR717035
6. M. Kashiwara, T. Kawai, and T. Kimura, Foundations of algebraic analysis, Princeton Mathematical Series, vol. 37, Princeton Univ. Press, Princeton, NJ, 1986.
Zentralblatt MATH: 0605.35001
Mathematical Reviews (MathSciNet): MR855641
7. A. Korányi, A Poisson integral for homogeneous wedge domains, J. Analyse Math. 14 (1965), 275-284.
Zentralblatt MATH: 0138.06503
Mathematical Reviews (MathSciNet): MR179809
Digital Object Identifier: doi:10.1007/BF02806394
8. G. Köthe, Dualität in der Funktionentheorie, J. Reine Angew. Math. 191 (1953), 30-49.
Zentralblatt MATH: 0050.33502
Mathematical Reviews (MathSciNet): MR56824
9. G. Köthe, Die Randverteilungen analytischer Funktionen, Math. Z. 57 (1952), 13-33.
Zentralblatt MATH: 0047.35203
Mathematical Reviews (MathSciNet): MR52032
Digital Object Identifier: doi:10.1007/BF01192913
10. G. Köthe, J. Sebastião e Silva et l'analyse fonctionnelle, An. Fac. Ci. Univ. Porto 56 (1973), 339-349.
Zentralblatt MATH: 0327.46001
Mathematical Reviews (MathSciNet): MR398743
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.
Zentralblatt MATH: 0373.46051
Mathematical Reviews (MathSciNet): MR482169
Digital Object Identifier: doi:10.1016/S0304-0208(08)70532-2
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.
Zentralblatt MATH: 0041.43803
Mathematical Reviews (MathSciNet): MR40576
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.
Zentralblatt MATH: 0049.20001
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.
Zentralblatt MATH: 0232.42007
Mathematical Reviews (MathSciNet): MR304972
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.
Zentralblatt MATH: 0825.01006
Mathematical Reviews (MathSciNet): MR985785
16. D. C. Struppa and C. Turrini, Hyperfunctions and boundary values of holomorphic functions, Nieuw Arch. Wisk. 4 (1986), 91-118.
Zentralblatt MATH: 0618.46043
Mathematical Reviews (MathSciNet): MR864474
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