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Distributions on Minkowski space and their connection with analytic representations of the conformal group. (English) Zbl 0239.46035


MSC:

46E20 Hilbert spaces of continuous, differentiable or analytic functions
22E43 Structure and representation of the Lorentz group
46F99 Distributions, generalized functions, distribution spaces
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[1] Graev, M. L.: Dokl. Akad. Nauk SSSR98, 517 (1954).
[2] Esteve, A., Sona, P. G.: Nuovo Cimento32, 473 (1964). · Zbl 0117.22404 · doi:10.1007/BF02733974
[3] Rühl, W.: The Lorentz Group and Harmonic Analysis, eq. (2–29) New york: W. A. Benjamin, Inc. 1970.
[4] Meschkowski, H.: Hilbertsche Räume mit Kernfunktion. Grundl. Math. Wiss. Bd.113, Berlin-Göttingen-Heidelberg: Springer 1962. · Zbl 0103.08802
[5] Köthe, G.: Math. Z.57, 13 (1952), J. r. angew. Math.191, 30 (1953). · Zbl 0047.35203 · doi:10.1007/BF01192913
[6] Tillmann, H. G.: Math. Z.59, 61 (1953),76, 5 (1961),77, 125 (1961). · Zbl 0051.08901 · doi:10.1007/BF01180242
[7] Neumark, M. A.: Normierte Algebren, p. 224, Berlin: VEB Deutscher Vlg. der Wissenschaften 1959. · Zbl 0089.10101
[8] Schwartz, L.: Théorie des Distributions, Paris: Hermann 1966.
[9] Streater, R. F., Wightman, A. S.: PCT, Spin and Statistics, and All That, Theorem 2–9, New York: W. A. Benjamin, Inc. 1964. · Zbl 0135.44305
[10] Ref. 9, Theorem 2–10.
[11] Mack, G., Salam, A.: Ann. Phys.53, 174 (1969). · doi:10.1016/0003-4916(69)90278-4
[12] Mueller, A. H.: Phys. Rev. D2, 2963 (1971).
[13] Frishman, Y.: Ann. Phys.66, 373 (1971) and further literature quoted there. · doi:10.1016/0003-4916(71)90195-3
[14] Müller, V. F., Rühl, W.: University of Trier-Kaiserslautern preprint, November 1971.
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