Bulletin of the American Mathematical Society

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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.

A. Cerezo, J. Chazarain, and A. Piriou, Introduction aux hyperfonctions, Hyperfunctions and theoretical physics (Rencontre, Nice, 1973; dédié à la mémoire de A. Martineau), Lecture Notes in Math., Vol. 449, Springer, Berlin, 1975, pp. 1–53 (French). MR 0394189

Leon Ehrenpreis, Solution of some problems of division. I. Division by a polynomial of derivation, Amer. J. Math. 76 (1954), 883–903. MR 68123, DOI 10.2307/2372662

L. Fantappié, Teoría de los Funcionales Analíticos y sus Aplicaciones, Consejo Superior de Investigaciones Científicas, Barcelona, 1943 (Spanish). MR 0014598

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

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, DOI 10.1007/978-3-642-96750-4

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

Adam Korányi, A Poisson integral for homogeneous wedge domains, J. Analyse Math. 14 (1965), 275–284. MR 179809, DOI 10.1007/BF02806394

Gottfried Köthe, Dualität in der Funktionentheorie, J. Reine Angew. Math. 191 (1953), 30–49 (German). MR 56824, DOI 10.1515/crll.1953.191.30

Gottfried Köthe, Die Randverteilungen analytischer Funktionen, Math. Z. 57 (1952), 13–33 (German). MR 52032, DOI 10.1007/BF01192913

Gottfried Köthe, J. Sebasti ao e Silva et l’analyse fonctionnelle, An. Fac. Ci. Univ. Porto 56 (1973), no. 4, 339–349. MR 0398743

Reinhold Meise, Representation of distributions and ultradistributions by holomorphic functions, Functional analysis: surveys and recent results (Proc. Conf., Paderborn, 1976) North-Holland Math. Studies, Vol. 27; Notas de Mat., No. 63, North-Holland, Amsterdam, 1977, pp. 189–208. MR 0482169

J. Sebastião e Silva, On the topology of analytic functional spaces, Univ. Lisboa Rev. Fac. Ci. A (2) 1 (1950), 23–102 (Portuguese, with French summary). 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.

Elias M. Stein and Guido Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton Mathematical Series, No. 32, Princeton University Press, Princeton, N.J., 1971. MR 0304972

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

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

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. MR 0394189

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