Bulletin of the American Mathematical Society

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Book Information

Author(s): Paul Koosis
Title: The logarithmic integral
Additional book information: Cambridge Studies In Advanced Mathematics, vol. 12, Cambridge University Press, Cambridge, New York, New Rochelle, Melbourne, Sydney, 1988, xvi + 606 pp., $89.50. ISBN 0-521-30906-9

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[3] A. Beurling, Collected works, vol. 1, Birkhäuser, Boston, 1989.

[4] G. G. Bilodeau, The origin and early development of non-analytic infinitely differentiable functions, Arch. Hist. Exact Sci. 27 (1982), 115-135. MR 677684

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[7] T. Carleman, Les fonctions quasi-analytiques, Gauthier-Villars, Paris, 1926.

[8] A. Denjoy, Sur les fonctions quasi-analytiques de variable réelle, C. R. Acad. Sci. Paris Ser. 1 Math. 173 (1921), 1329-1331. MR 74471

[9] B. Fuglede, Fine potential theory - a survey, lecture, Rostock, 1986. MR 877269

[10] J. Hadamard, Sur la généralisation de la notion de fonction analytique, C. R. Seanches Soc. Math. France (1912), 28-29.

[11] W. K. Hayman, Subharmonic functions, vol. 2, Academic Press, London, 1989. MR 1049148

[12] E. Holmgren, Sur l'équation de la propagation de la chaleur, Ark. Mat. Astronom. Fys. 4 (14), (1908), 1-11, and 4 (18), (1908), 1-28.

[13] E. Holmgren, Sur les solutions quasianalytiques de l'équation de la chaleur, Ark. Mat. Astronom. Fys. 18 (1924), 1-9.

[14] F. John, Partial differential equation, 4th ed., Springer-Verlag, Berlin, 1982. MR 514404

[15] N. Levinson, Gap and density theorems, Amer. Math. Soc. Colloq. Publ., vol. 26, Amer. Math. Soc., New York, 1940. MR 3208

[16] A. Tychonoff, Théorèmes d'unicité pour l'équation de la chaleur, Mat. Sb. 42(1935), 199-216.

[17] S. Täcklind, Sur les classes quasianalytiques des solutions des équations aux derivees partiélles du type parabolique, Nova Acta Soc. Sci. Upsal. 10 (1936), 1-57.

[18] I. N. Vekua, Generalized analytic functions, Addison-Wesley, Reading, Mass., 1962. MR 150320

[19] A. L. Vol'berg, The logarithm of an almost analytic function is summable, Dokl. Akad. Nauk SSSR 265 (1982), 1297-1301. MR 670692

[20] A. A. Borichev and A. L. Vol'berg, Uniqueness theorems for almost analytic functions, Algebra and Analysis 1 (1989), 144-176. MR 1015338

[21] M. Benedicks, The support of functions and distributions with a spectral gap, Math. Scand. 55 (1984), 285-309. MR 787203

Review Information:
Journal: Bull. Amer. Math. Soc. 24 (1991), 248-257.
DOI: 10.1090/S0273-0979-1991-16003-9
PII: S 0273-0979(1991)16003-9

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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