An operational calculus for infinitesimal generators of semigroups.
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- by A. V. Balakrishnan
- Trans. Amer. Math. Soc. 91 (1959), 330-353
- DOI: https://doi.org/10.1090/S0002-9947-1959-0107179-0
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References
- Einar Hille, Functional Analysis and Semi-Groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, New York, 1948. MR 0025077
- R. S. Phillips, Semi-groups of operators, Bull. Amer. Math. Soc. 61 (1955), 16–33. MR 68122, DOI 10.1090/S0002-9904-1955-09854-9
- 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, 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 A. V. Balakrishnan, On powers of the infinitesimal generators of groups and semigroups of linear bounded transformations, Thesis, University of Southern California, 1954.
- B. V. Gnedenko and A. N. Kolmogorov, Limit distributions for sums of independent random variables, Addison-Wesley Publishing Co., Inc., Cambridge, Mass., 1954. Translated and annotated by K. L. Chung. With an Appendix by J. L. Doob. MR 0062975
Bibliographic Information
- © Copyright 1959 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 91 (1959), 330-353
- MSC: Primary 46.00
- DOI: https://doi.org/10.1090/S0002-9947-1959-0107179-0
- MathSciNet review: 0107179