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Domaines d’opérateurs représentes comme intégrales de resolvantes. (French) Zbl 0341.47013

MSC:
47A60 Functional calculus for linear operators
40E05 Tauberian theorems, general
47D03 Groups and semigroups of linear operators
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[1] Balakrishnan, V, Fractional powers of closed operators and the semi-groups generated by them, Pacific J. math., 10, 419-437, (1960) · Zbl 0103.33502
[2] Hirsch, F, Familles résolvantes, générateurs, cogénérateurs, potentiels, Ann. inst. Fourier (Grenoble), 22, 89-210, (1972), Fasc. 1 · Zbl 0219.31015
[3] Hirsch, F, Intégrales de résolvantes et calcul symbolique, Ann. inst. Fourier (Grenoble), 22, 239-264, (1972), Fasc. 4 · Zbl 0235.47007
[4] Hirsch, F, Familles d’opérateurs potentiels, Ann. inst. Fourier, (Grenoble), 25, 263-288, (1975), Fasc. 3 · Zbl 0286.31002
[5] Hövel, H.W; Westphal, U, Fractional powers of closed operators, Studia math., 42, 177-195, (1972) · Zbl 0207.13303
[6] Ito, M, Sur LES cônes convexes de Riesz et LES noyaux de convolution complètement sous-harmoniques, Nagoya math. J., 55, 111-144, (1974) · Zbl 0303.43005
[7] Komatsu, H, Fractional powers of operators, Pacific J. math., 19, No. 2, 285-346, (1966) · Zbl 0154.16104
[8] Komatsu, H, Fractional powers of operators II, interpolation spaces, Pacific J. math., 21, No. 1, 89-111, (1967) · Zbl 0168.10702
[9] Yosida, K, Functional analysis, (1971), Springer-Verlag Berlin · Zbl 0217.16001
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