Geodesic
On Function Spaces for Quantum Systems with Constraints
Matematičeskie zametki, Tome 100 (2016) no. 4, pp. 597-618.

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Various realizations of the Hilbert state space for quantum systems with linear constraints are considered. One of the realizations is the completion of a Schwartz space with inner product differing from $L^2$. Another realization is a special class of distributions with inner product. An isomorphism between these realizations is constructed, and the properties of the operators are studied.
Keywords: quantum system with constraints, space of distributions. 
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O. Yu. Shvedov. On Function Spaces for Quantum Systems with Constraints. Matematičeskie zametki, Tome 100 (2016) no. 4, pp. 597-618. http://geodesic.mathdoc.fr/item/MZM_2016_100_4_a11/

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