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math-ph2015★ 41 cited
Schwartz operators
Michael Keyl, Jukka Kiukas, Reinhard F. Werner
In this paper we introduce Schwartz operators as a non-commutative analog of Schwartz functions and provide a detailed discussion of their properties. We equip them in particular w…
math-ph2012★ 32 cited
Characterization of informational completeness for covariant phase space observables
Jukka Kiukas, Pekka Lahti, Jussi Schultz +1
A covariant phase space observable is uniquely characterized by a positive operator of trace one and, in turn, by the Fourier-Weyl transform of this operator. We study three proper…
math-ph2006
Covariant observables on a nonunimodular group
J. Kiukas
It is shown that the characterization of covariant positive operator measures on nonunimodular locally compact groups can be obtained by using vector measure theoretic methods, wit…