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Characterization of Fourier transforms of vector valued functions and measures. (English) Zbl 0199.17701

MSC:
42C99 Nontrigonometric harmonic analysis
28B05 Vector-valued set functions, measures and integrals
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References:
[1] Dinculeanu N.: Vector Measures. Berlin 1966. · Zbl 0142.10502
[2] Hewitt E.: A new proof of Planchereľs theorem for locally compact abelian groups. Acta Sci. Math. Szeged, 24 (1963), 219-227. · Zbl 0168.11503
[3] Hille E., Phillips R. S.: Functional Analysis and Semigroups. Providence 1957. · Zbl 0078.10004
[4] Kluvánek I.: Characterization of Fourier-Stieltjes transforms of vector and operator valued measures. Czech. Math. J., 17 (1967), 261-277. · Zbl 0177.18203
[5] Loomis L. H.: An Introduction to Abstract Harmonic Analysis. New York 1953. · Zbl 0052.11701
[6] Wong J. S. W.: On a Characterization of Fourier Transforms. Monatsh. Math. 70 (1966), 74-80. · Zbl 0146.12103
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