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Bibliography
V. Bargmann, Irreducible representations of the Lorentz group, Ann. of Math., 48 (1947), 568–640.
H. Behnke, F. Sommer, Theorie der analytischen Funktionen einer komplexen Veränderlichen (1962), Springer-Verlag, Berlin, Göttingen, Heidelberg.
H. Boerner, Darstellungen von Gruppen (1955), Springer, Berlin, Göttingen, Heidelberg.
V. Fock, Zur Theorie des Wasserstoffatoms, Zeitschrift für Physik 98 (1935), 145–154.
G.B. Folland, A Course in Abstract Harmonic Analysis (1995), CRC Press, Boca Raton, Ann Arbor, London, Tokyo.
I.M. Gel’fand, G.E. Shilov, Generalized Functions I (Properties and Operations) (1958, English translation 1963), Academic Press, New York and London.
I.M. Gel’fand, M.I. Graev, N.Ya. Vilenkin, Generalized Functions V (Integral Geometry and Representation Theory) (1962, English translation 1966), Academic Press, New York and London.
W. Heisenberg, Einführung in die einheitliche Feldtheorie der Elementarteilchen (1967), Hirzel, Stuttgart.
S. Helgason, Groups and Geometric Analysis (1984), Academic Press, New York. London, Sydney, Tokyo, Toronto, etc.
A. Knapp, Representation Theory of Semisimple Groups (1986), Princeton University Press, Princeton.
T.O. Sherman, Fourier analysis on the sphere, Trans. Amer. Math. Soc. 209, 1–31 (1975).
R.S. Strichartz, Harmonic analysis on hyperboloids, Journal of Functional Analysis 12, 341–383 (1973).
N.Ja. Vilenkin, A.U. Klimyk, Representations of Lie Groups and Special Functions (1991), Kluwer Academic Publishers, Dordrecht, Boston, London.
H. Saller, On the non-particle structure of gauge interactions, Nuovo Cimento 105A (1992), 455–491.
H. Saller, Realizations of causal manifolds by quantum fields, International Journal of Theoretical Physics 36, 2783–2826 (1997).
H. Saller, Representations of spacetime as unitary operation classes; or against the monoculture of particle fields, International Journal of Theoretical Physics 38, 1697–1733 (1999).
H. Saller, Residual representations of spacetime, International Journal of Theoretical Physics 40, 1209–1248 (2001).
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(2006). Residual Spacetime Representations. In: Operational Quantum Theory II. Operational Physics. Springer, New York, NY . https://doi.org/10.1007/0-387-34644-9_9
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