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Coherent states for the Lobachevskian plane

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Publication:1213026
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DOI10.1007/BF01080699zbMath0295.22021OpenAlexW2043109380MaRDI QIDQ1213026

A. M. Perelomov

Publication date: 1974

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01080699



Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Structure and representation of the Lorentz group (22E43) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Completeness problems, closure of a system of functions of one complex variable (30B60)


Related Items

Unnamed Item ⋮ The Berry phase and monopoles in gluodynamics ⋮ Density conditions with stabilizers for lattice orbits of Bergman kernels on bounded symmetric domains ⋮ Affine density, von Neumann dimension and a problem of Perelomov ⋮ The density theorem for discrete series representations restricted to lattices ⋮ Wavelet-type frames for an interval ⋮ The effective potential of squeezed spin states



Cites Work

  • Unnamed Item
  • Coherent states for arbitrary Lie group
  • Irreducible unitary representations of the Lorentz group
  • Fundamental sets of entire functions
  • Some remarks on discontinuous groups
  • Ergodicity of Flows on Homogeneous Spaces
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