La série discrète de ${\rm SL}(2,\,{R})$ et les opérateurs pseudo-différentiels sur une demi-droite

DOI10.24033/asens.1467zbMath0549.35119OpenAlexW2603177830MaRDI QIDQ3343079

André Unterberger, Julianne Unterberger

Publication date: 1984

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1984_4_17_1_83_0

zbMATH Keywords

Weyl calculusquantizationLaplace-Beltrami operatorPoincaré half-planesymbolic calculus

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Harmonic analysis on homogeneous spaces (43A85) Pseudodifferential and Fourier integral operators on manifolds (58J40) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (16)

Representations of \(\text{SL}(2,\mathbb{R})\) and symbolic calculi ⋮ A quantization of the Cartan domain BD I \((q=2)\) and operators on the light cone ⋮ Unnamed Item ⋮ Symbolic calculus on the nilpotent orbits of \(SO_ 0(1,2)\) ⋮ Quantization of the affine group of a local field ⋮ Toeplitz quantization and asymptotic expansions for real bounded symmetric domains ⋮ Quantification et analyse pseudo-différentielle ⋮ Mathematical analysis as required by a tachyonic observer ⋮ The calculus of pseudo—differential operators of fuchs type ⋮ Unnamed Item ⋮ Invariant symbolic calculus for semidirect products ⋮ Quantification relativiste ⋮ Weyl quantization of symmetric spaces. I: Hyperbolic matrix domains ⋮ Unnamed Item ⋮ Covariant quantization: spectral analysis versus deformation theory ⋮ Quantizations and symbolic calculus over the \(p\)-adic numbers

Cites Work

• The Plancherel formula for the universal covering group of SL(R, 2)
• Some Remarks on singular pseudodifferential operators
• QUANTIZATION
• QUANTIZATION IN COMPLEX SYMMETRIC SPACES
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