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Functions of potential type. (English) Zbl 0052.33302


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[1] Maynard G. Arsove, Functions representable as differences of subharmonic functions, Trans. Amer. Math. Soc. 75 (1953), 327 – 365. · Zbl 0052.33301
[2] -Thesis, Brown University, 1950.
[3] S. Banach Théorie des opérations linéaires, Warsaw, 1932. · JFM 58.0420.01
[4] Garrett Birkhoff, Lattice Theory, American Mathematical Society Colloquium Publications, vol. 25, revised edition, American Mathematical Society, New York, N. Y., 1948. · Zbl 0033.10103
[5] Marcel Brelot, Étude des fonctions sous-harmoniques au voisinage d’un point singulier, Ann. Inst. Fourier Grenoble 1 (1949), 121 – 156 (1950) (French). · Zbl 0036.06901
[6] M. Brelot, Sur le rôle du point à l’infini dans la théorie des fonctions harmoniques, Ann. Sci. École Norm. Sup. 61 (1944), 301 – 332 (French). · Zbl 0061.22801
[7] -Fonctions sous-harmoniques et balayage (Part 2), Académie Royale de Belgique vol. 24 (1938) pp. 421-436. · JFM 64.0478.02
[8] -Sur la meilleure majorante harmonique d’une fonction sous-harmonique, C. R. Acad. Sci. Paris vol. 205 (1937) p. 12. · Zbl 0016.39506
[9] -Sur les meilleures et plus petites majorantes harmoniques des fonctions sous-harmoniques, C. R. Acad. Sci. Paris vol. 205 (1937) pp. 456-457. · Zbl 0017.11601
[10] Henri Cartan, Théorie du potentiel newtonien: énergie, capacité, suites de potentiels, Bull. Soc. Math. France 73 (1945), 74 – 106 (French). · Zbl 0061.22609
[11] -Théorie générale du balayage en potentiel newtonien, Annales de l’Université Grenoble vol. 22 (1947) pp. 221-280. · Zbl 0036.34201
[12] Gustave Choquet, Capacitabilité. Théorèmes fondamentaux, C. R. Acad. Sci. Paris 234 (1952), 784 – 786 (French). · Zbl 0046.05704
[13] Griffith C. Evans, On potentials of positive mass. I, Trans. Amer. Math. Soc. 37 (1935), no. 2, 226 – 253. · Zbl 0011.21201
[14] O. Frostman Potentiel d’équilibre et capacité des ensembles, Lund, 1935. · JFM 61.1262.02
[15] Maurice Heins, Entire functions with bounded minimum modulus; subharmonic function analogues, Ann. of Math. (2) 49 (1948), 200 – 213. · Zbl 0029.29801 · doi:10.2307/1969122
[16] Edwin Hewitt, Linear functionals on spaces of continuous functions, Fund. Math. 37 (1950), 161 – 189. · Zbl 0040.06401
[17] Edwin Hewitt, Remarks on the inversion of Fourier-Stieltjes transforms, Ann. of Math. (2) 57 (1953), 458 – 474. · Zbl 0052.11801 · doi:10.2307/1969730
[18] Masao Inoue, On the growth of subharmonic functions and its applications to a study of the minimum modulus of integral functions, J. Inst. Polytech. Osaka City Univ. Ser. A. Math. 1 (1950), 71 – 82. · Zbl 0041.06302
[19] Shizuo Kakutani, Concrete representation of abstract (\?)-spaces and the mean ergodic theorem, Ann. of Math. (2) 42 (1941), 523 – 537. · Zbl 0027.11102 · doi:10.2307/1968915
[20] Shizuo Kakutani, Concrete representation of abstract (\?)-spaces. (A characterization of the space of continuous functions.), Ann. of Math. (2) 42 (1941), 994 – 1024. · Zbl 0060.26604 · doi:10.2307/1968778
[21] R. Nevanlinna Eindeutige analytische Funktionen, Berlin, 1936. · JFM 62.0315.02
[22] E. E. Privaloff A generalization of Jensen’s formula. Part I, Izvestia Akad. Nauk vols. 6-7 (1935) pp. 837-847.
[23] T. Radó Subharmonic functions, Berlin, 1937. · JFM 63.0458.05
[24] M. Riesz Intégrales de Riemann-Liouville et potentiels, Acta Szeged. vol. 9 (1938) pp. 1-42. · JFM 64.0476.03
[25] E. C. Titchmarsh Theory of functions, 2d ed., Oxford, 1939. · JFM 65.0302.01
[26] W. R. Transue, Representation of subharmonic functions in the neighborhood of a point, Amer. J. Math. 65 (1943), 335 – 340. · Zbl 0061.23111 · doi:10.2307/2371819
[27] G. Valiron Integral functions, London, 1923. · JFM 50.0254.01
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