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Cnop, Ivan

Spectral study of holomorphic functions with bounded growth. (English) Zbl 0226.46029

Ann. Inst. Fourier 22, No. 2, 293-309 (1972).
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Cited in 8 Documents

MSC:

46E25 Rings and algebras of continuous, differentiable or analytic functions
46H99 Topological algebras, normed rings and algebras, Banach algebras
46E10 Topological linear spaces of continuous, differentiable or analytic functions
32A10 Holomorphic functions of several complex variables
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\textit{I. Cnop}, Ann. Inst. Fourier 22, No. 2, 293--309 (1972; Zbl 0226.46029)
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References:

[1] H. BUCHWALTER, Topologies, bornologies et compactologies. Thesis, Fac. des Sciences, Univ. de Lyon, 1968. · Zbl 0205.41601
[2] I. CNOP, Un problème de spectre dans certaines algèbres de fonctions holomorphes à croissance tempérée, C.R. Acad. Sci., Paris, A 270, 1970, 1690-1691. · Zbl 0194.44502
[3] I. CNOP, A theorem concerning holomorphic functions with bounded growth, Thesis, Univ. of Brussels, 1971.
[4] I. CNOP, Un űnullstellensatzƈ pour LES fonctions holomorphes à croissance, Colloque International d’Analyse Fonctionnelle, Bordeaux (to appear). · Zbl 0249.46012
[5] I. CNOP and J.-P. FERRIER, Existence de fonctions spectrales et densité pour LES algèbres de fonctions holomorphes avec croissance. C.R. Acad. Sci., Paris, A 273, 1971, 353-355. · Zbl 0223.46033
[6] J.-P. FERRIER, Séminaire sur LES algèbres complètes, Lecture Notes in Mathematics, 164, Springer, 1970. · Zbl 0203.13203
[7] J.-P. FERRIER, Approximation des fonctions holomorphes de plusieurs variables avec croissance, C.R. Acad. Sci., Paris, A 271, 1970, 722-724. · Zbl 0198.46003
[8] J.-P. FERRIER, Approximation avec croissance des fonctions holomorphes de plusieurs variables, Ann. Inst. Fourier, Grenoble, XXII, 1 (1972). · Zbl 0219.32009
[9] J.-P. FERRIER, Sur la convexité holomorphe et LES limites inductives d’algèbres O(δ). C.R. Acad. Sci., Paris, A 272, 1971, 237-239. · Zbl 0214.14001
[10] J.-P. FERRIER, Application à l’analyse complexe du calcul symbolique de L. waelbroeck, Cours Peccot au Collège de France, 1971.
[11] L. HÖRMANDER, L2 estimates and existence theorems for the ∂ operator, Acta Math., 113, 1965, 89-152. · Zbl 0158.11002
[12] L. HÖRMANDER, Generators for some rings of analytic functions. Bull. Amer. Math. Soc., 73, 1967, 943-949. · Zbl 0172.41701
[13] J. J. KELLEHER and B. A. TAYLOR, Finitely generated ideals in rings of analytic functions, Math. Ann., 193, 1971, 225-237. · Zbl 0207.12906
[14] L. WAELBROECK, Étude spectrale des algèbres complètes. Acad. Roy. Belgique, Mém. Cl. des Sci., 1960. · Zbl 0193.10005
[15] L. WAELBROECK, Lectures in spectral theory, Dep. of Math., Yale Univ., 1963.
[16] L. WAELBROECK, About a spectral theorem, Function algebras (edit. by F. Birtel), Scott, Foresman and Co, 1965, 310-321. · Zbl 0145.16801
[17] L. WAELBROECK, Some theorems about bounded structures, J. of Funct. Anal., 1, 4, 1967, 392-408. · Zbl 0201.16601
[18] L. WAELBROECK, Un űnullstellensatzƈ pour LES fonctions holomorphes à croissance, (1970) (mimeographed).
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