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Publication:3742109
zbMath0604.43001MaRDI QIDQ3742109
Publication date: 1986
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symplectic groupintertwining operatorHankel operatorspherical harmonicsspinor groupsunitary groupspartial differential equationscoherent statesnilpotent Lie groupsoscillator representationLorentz groupmetaplectic groupStone-von Neumann theoremPeter-Weyl theoremSL(2, \({bbfC})\)noncommutative harmonic analysisimprimitivity systemlinear PDEsSL(2, \({bbfR})\)heighest weight representationsirreducible unitary linear representations of Heisenberg groupnoncompact semisimple Lie groups
Analysis on real and complex Lie groups (22E30) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Nilpotent and solvable Lie groups (22E25) Harmonic analysis and spherical functions (43A90) Induced representations for locally compact groups (22D30) Research exposition (monographs, survey articles) pertaining to abstract harmonic analysis (43-02)
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