3 papers
math.OA2026
Algebras of distributions suitable for phase-space quantum mechanics. II. Topologies on the Moyal algebra
Joseph C. Várilly, José M. Gracia-BondÃa
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
Algebras of distributions suitable for phase-space quantum mechanics. I
José M. Gracia-BondÃa, 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…
math.HO2025
Huygens and
Mark B. Villarino, Joseph C. Varilly
The Dutch scientist Christiaan Huygens refined Archimedes' celebrated geometrical computation of to its highest point. Yet the rich content of his beautiful treatise \emph{De…