On Hille’s first exponential formula
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- by Z. Ditzian
- Proc. Amer. Math. Soc. 22 (1969), 351-355
- DOI: https://doi.org/10.1090/S0002-9939-1969-0244804-X
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References
- P. L. Butzer, Halbgruppen von linearen Operatoren und eine Anwendung in der Approximationstheorie, J. Reine Angew. Math. 197 (1957), 112–120 (German). MR 82639, DOI 10.1515/crll.1957.197.112
- Paul L. Butzer and Hubert Berens, Semi-groups of operators and approximation, Die Grundlehren der mathematischen Wissenschaften, Band 145, Springer-Verlag New York, Inc., New York, 1967. MR 0230022, DOI 10.1007/978-3-642-46066-1
- G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
- Einar Hille, Representation of one-parameter semigroups of linear transformations, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 175–178. MR 6610, DOI 10.1073/pnas.28.5.175
- Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, Providence, R.I., 1957. rev. ed. MR 0089373
- Leetsch C. Hsu, An estimation for the first exponential formula in the theory of semi-groups of linear operations, Czechoslovak Math. J. 10(85) (1960), 323–328 (English, with Russian summary). MR 119102
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 22 (1969), 351-355
- MSC: Primary 47.50
- DOI: https://doi.org/10.1090/S0002-9939-1969-0244804-X
- MathSciNet review: 0244804