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arXiv · 1009.0836

On Weyl calculus in infinitely many variables

Ingrid Beltita·Daniel Beltita
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Abstract

We outline an abstract approach to the pseudo-differential Weyl calculus for operators in function spaces in infinitely many variables. Our earlier approach to the Weyl calculus for Lie group representations is extended to the case of representations associated with infinite-dimensional coadjoint orbits. We illustrate the approach by the case of infinite-dimensional Heisenberg groups. The classical Weyl-Hörmander calculus is recovered for the Schrödinger representations of the finite-dimensional Heisenberg groups.

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Ingrid Beltita, Daniel Beltita. 2010-09-04. On Weyl calculus in infinitely many variables. https://doi.org/10.1063/1.3527418

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