Harmonic analysis and systems of covariance for phase space representation of the Poincaré group (Q1082463)

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scientific article; zbMATH DE number 3973196
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Harmonic analysis and systems of covariance for phase space representation of the Poincaré group
scientific article; zbMATH DE number 3973196

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    Harmonic analysis and systems of covariance for phase space representation of the Poincaré group (English)
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    1986
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    The spin zero phase space representation of the Poincaré group is studied following the corresponding investigation for the Galilei group carried out by the authors in a previous paper [Acta Appl. Math. 6, 19-45 (1986; see the preceding review)]. Again, the spaces of the irreducible subrepresentations are reproducing kernel Hilbert spaces; the related systems of covariance are analyzed.
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    POV measures
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    harmonic analysis
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    relativistic phase space representation
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    Poincaré group
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    reproducing kernel Hilbert spaces
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    systems of covariance
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