Coherent states and bounded homogeneous domains

DOI10.1016/0034-4877(74)90047-0zbMath0308.32022OpenAlexW2049157349MaRDI QIDQ1218563

M. I. Monastyrskij, A. M. Perelomov

Publication date: 1974

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(74)90047-0

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Discrete subgroups of Lie groups (22E40) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Automorphic functions in symmetric domains (32N15)

Related Items (4)

Density conditions with stabilizers for lattice orbits of Bergman kernels on bounded symmetric domains ⋮ The density theorem for discrete series representations restricted to lattices ⋮ Quantum \(SU(2,2)\)-harmonic oscillator ⋮ Linear dynamical systems, coherent state manifolds, flows, and matrix Riccati equation

Cites Work

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• Sur les domaines bornes homogenes de l'espace de \(n\) variables. complexes
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Compact Clifford-Klein forms of symmetric spaces
• Discontinuous groups
• Representations of Semisimple Lie Groups IV
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
• Coherent and Incoherent States of the Radiation Field

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