Semi-groups of operators
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- by R. S. Phillips PDF
- Bull. Amer. Math. Soc. 61 (1955), 16-33
References
- William Feller, The parabolic differential equations and the associated semi-groups of transformations, Ann. of Math. (2) 55 (1952), 468–519. MR 47886, DOI 10.2307/1969644
- William Feller, Semi-groups of transformations in general weak topologies, Ann. of Math. (2) 57 (1953), 287–308. MR 54165, DOI 10.2307/1969859
- William Feller, On the generation of unbounded semi-groups of bounded linear operators, Ann. of Math. (2) 58 (1953), 166–174. MR 55572, DOI 10.2307/1969826
- Einar Hille, Functional Analysis and Semi-Groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, New York, 1948. MR 0025077
- Einar Hille, On the generation of semi-groups and the theory of conjugate functions, Kungl. Fysiografiska Sällskapets i Lund Förhandlingar [Proc. Roy. Physiog. Soc. Lund] 21 (1952), no. 14, 13. MR 45944
- Einar Hille, Le problème abstrait de Cauchy, Univ. e Politec. Torino Rend. Sem. Mat. 12 (1953), 95–103 (French). MR 60732
- Einar Hille, The abstract Cauchy problem and Cauchy’s problem for parabolic differential equations, J. Analyse Math. 3 (1954), 81–196. MR 62934, DOI 10.1007/BF02803587
- Isao Miyadera, Generation of a strongly continuous semi-group operators, Tohoku Math. J. (2) 4 (1952), 109–114. MR 52037, DOI 10.2748/tmj/1178245412
- R. S. Phillips, On one-parameter semi-groups of linear transformations, Proc. Amer. Math. Soc. 2 (1951), 234–237. MR 39922, DOI 10.1090/S0002-9939-1951-0039922-1
- R. S. Phillips, Spectral theory for semi-groups of linear operators, Trans. Amer. Math. Soc. 71 (1951), 393–415. MR 44737, DOI 10.1090/S0002-9947-1951-0044737-9
- R. S. Phillips, On the generation of semigroups of linear operators, Pacific J. Math. 2 (1952), 343–369. MR 50797, DOI 10.2140/pjm.1952.2.343
- R. S. Phillips, Perturbation theory for semi-groups of linear operators, Trans. Amer. Math. Soc. 74 (1953), 199–221. MR 54167, DOI 10.1090/S0002-9947-1953-0054167-3
- R. S. Phillips, An inversion formula for Laplace transforms and semi-groups of linear operators, Ann. of Math. (2) 59 (1954), 325–356. MR 60730, DOI 10.2307/1969697
- R. S. Phillips, A note on the abstract Cauchy problem, Proc. Nat. Acad. Sci. U.S.A. 40 (1954), 244–248. MR 61759, DOI 10.1073/pnas.40.4.244 15. R. S. Phillips, The adjoint semi-group, to appear in the Pacific Journal of Mathematics. 16. M. H. Stone, Linear transformations in Hilbert space III, Proc. Nat. Acad. Sci. U.S.A. vol. 16 (1930) pp. 172-175.
- Angus E. Taylor, Spectral theory of closed distributive operators, Acta Math. 84 (1951), 189–224. MR 40582, DOI 10.1007/BF02414854
- David Vernon Widder, The Laplace Transform, Princeton Mathematical Series, vol. 6, Princeton University Press, Princeton, N. J., 1941. MR 0005923
- Kôsaku Yosida, On the differentiability and the representation of one-parameter semi-group of linear operators, J. Math. Soc. Japan 1 (1948), 15–21. MR 28537, DOI 10.2969/jmsj/00110015
- Kôsaku Yosida, On the Fokker-Planck equation and its integral, Sūgaku 3 (1951), 129–136 (Japanese). MR 55545
- Kôsaku Yosida, On the integration of diffusion equations in Riemannian spaces, Proc. Amer. Math. Soc. 3 (1952), 864–873. MR 52017, DOI 10.1090/S0002-9939-1952-0052017-7
Additional Information
- Journal: Bull. Amer. Math. Soc. 61 (1955), 16-33
- DOI: https://doi.org/10.1090/S0002-9904-1955-09854-9
- MathSciNet review: 0068122