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Representations of \(\text{SL}(2,\mathbb{R})\) and symbolic calculi

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Publication:1329573
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DOI10.1007/BF01206295zbMath0840.43018OpenAlexW4229927415MaRDI QIDQ1329573

André Unterberger, Julianne Unterberger

Publication date: 12 July 1994

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01206295

zbMATH Keywords

intertwining operatorconvolutionWeyl calculusHilbert spacesrepresentationscoadjoint orbitenveloping algebrapseudodifferential operatorshomogeneous spacediscrete seriespolynomial functionsprincipal seriessymbolic calculi


Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Lie groups (22E99) Pseudodifferential operators and other generalizations of partial differential operators (35S99)


Related Items

Algebras of symbols and modular forms



Cites Work

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  • A quantization of the Cartan domain BD I \((q=2)\) and operators on the light cone
  • Harmonic analysis on hyperboloids
  • La série discrète de ${\rm SL}(2,\,{R})$ et les opérateurs pseudo-différentiels sur une demi-droite
  • Quantification et analyse pseudo-différentielle
  • QUANTIZATION IN COMPLEX SYMMETRIC SPACES
  • Scattering Theory for Automorphic Functions. (AM-87)
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