Compact simple Lie groups and their -, -, and -transforms.
Patera, Jiri (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Patera, Jiri (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Christopher Meaney (1985)
Compositio Mathematica
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W. Rossmann (1995)
Inventiones mathematicae
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Detlev Poguntke (2010)
Colloquium Mathematicae
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For any connected Lie group G and any Laplacian Λ = X²₁ + ⋯ + X²ₙ ∈ 𝔘𝔤 (X₁,...,Xₙ being a basis of 𝔤) one can define the commutant 𝔅 = 𝔅(Λ) of Λ in the convolution algebra ℒ¹(G) as well as the commutant ℭ(Λ) in the group C*-algebra C*(G). Both are involutive Banach algebras. We study these algebras in the case of a "distinguished Laplacian" on the "Iwasawa part AN" of a semisimple Lie group. One obtains a fairly good description of these algebras by objects derived from the semisimple...
Michael Cowling, Uffe Haagerup (1989)
Inventiones mathematicae
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M. Welleda Baldoni Silva (1979)
Rendiconti del Seminario Matematico della Università di Padova
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Benjamin Cahen (2011)
Commentationes Mathematicae Universitatis Carolinae
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We construct adapted Weyl correspondences for the unitary irreducible representations of the Cartan motion group of a noncompact semisimple Lie group by using the method introduced in [B. Cahen, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177--190].
Johnny E. Brown (2007)
Annales Polonici Mathematici
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We show that functions whose derivatives lie in a half-plane are preserved under the Pommerenke, Chandra-Singh, Libera, Alexander and Bernardi integral transforms. We determine precisely how these transforms act on such functions. We prove that if the derivative of a function lies in a convex region then the derivative of its Pommerenke, Chandra-Singh, Libera, Alexander and Bernardi transforms lie in a strictly smaller convex region which can be determined. We also consider iterates...
Rainer Felix (1993)
Inventiones mathematicae
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E. Leuzinger, C. Pittet (1996)
Geometric and functional analysis
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R.J. Beerends (1987)
Mathematische Annalen
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Yoav Segev (1994)
Mathematische Zeitschrift
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