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math.OA2026★ 103 cited
Algebras of distributions suitable for phase-space quantum mechanics. II. Topologies on the Moyal algebra
Joseph C. Várilly, José M. Gracia-Bondía
The topology of the Moyal -algebra may be defined in three ways: the algebra may be regarded as an operator algebra over the space of smooth declining functions either on the co…
math-ph2026★ 224 cited
Algebras of distributions suitable for phase-space quantum mechanics. I
José M. Gracia-Bondía, Joseph C. Várilly
The twisted product of functions on is extended to a -algebra of tempered distributions which contains the rapidly decreasing smooth functions, the distributions of com…