On the integral representation of positive linear functionals
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- by A. E. Nussbaum PDF
- Trans. Amer. Math. Soc. 128 (1967), 460-473 Request permission
References
-
N. Bourbaki, Intégration des mesures, Hermann, Paris, 1956.
—, Intégration, Hermann, Paris, 1952.
T. Carleman, Les fonctions quasi-analytiques, Gauthier-Villars, Paris, 1926.
- J. Dixmier, Sur certains espaces considérés par M. H. Stone, Summa Brasil. Math. 2 (1951), 151–182 (French). MR 48787
- J. M. G. Fell and J. L. Kelley, An algebra of unbounded operators, Proc. Nat. Acad. Sci. U.S.A. 38 (1952), 592–598. MR 51439, DOI 10.1073/pnas.38.7.592
- R. Godement, Sur la théorie des représentations unitaires, Ann. of Math. (2) 53 (1951), 68–124 (French). MR 38571, DOI 10.2307/1969343
- I. M. Gel′fand and G. E. Shilov, Generalized functions. Vol. 1, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1964 [1977]. Properties and operations; Translated from the Russian by Eugene Saletan. MR 0435831
- Lynn H. Loomis, An introduction to abstract harmonic analysis, D. Van Nostrand Co., Inc., Toronto-New York-London, 1953. MR 0054173
- M. A. Naĭmark, Normed rings, Reprinting of the revised English edition, Wolters-Noordhoff Publishing, Groningen, 1970. Translated from the first Russian edition by Leo F. Boron. MR 0355601
- A. E. Nussbaum, Integral representation of semi-groups of unbounded self-adjoint operators, Ann. of Math. (2) 69 (1959), 133–141. MR 101495, DOI 10.2307/1970098
- A. E. Nussbaum, Quasi-analytic vectors, Ark. Mat. 6 (1965), 179–191 (1965). MR 194899, DOI 10.1007/BF02591357
- Charles E. Rickart, General theory of Banach algebras, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0115101
- R. B. Zarhina, On the two-dimensional problem of moments, Dokl. Akad. Nauk SSSR 124 (1959), 743–746 (Russian). MR 0103391
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 128 (1967), 460-473
- MSC: Primary 46.60
- DOI: https://doi.org/10.1090/S0002-9947-1967-0215108-9
- MathSciNet review: 0215108