Weyl-Schrödinger representations of Heisenberg groups in infinite dimensions

DOI10.1007/S00025-020-01198-0zbMath1437.81034arXiv1902.01473OpenAlexW3019670212MaRDI QIDQ2175151

O. V. Lopushans'kii

Publication date: 28 April 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01473

zbMATH Keywords

infinite-dimensional Heisenberg groupFourier analysis on virtual unitary matricesheat equation over Heisenberg groupSchur polynomials on Paley-Wiener mapsWeyl-Schrödinger representation in infinite dimensions

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

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