A trace formula for semi-simple Lie algebras
M. D. Gould (1980)
Annales de l'I.H.P. Physique théorique
Alfredo Brega, Juan Tirao (1992)
Manuscripta mathematica
Roby, Tom, Terada, Itaru (2005)
The Electronic Journal of Combinatorics [electronic only]
Ronald L. Lipsman (1997)
Manuscripta mathematica
Chaves, Max, Singleton, Douglas (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Gero Fendler (1990)
Colloquium Mathematicae
F. P. Greenleaf, M. Moskowitz, L. P. Rothschild (1980)
Colloquium Mathematicae
Jan van Mill (1984)
Fundamenta Mathematicae
J. Marion (1993)
Mathematische Zeitschrift
Dan Barbasch, Allen Moy (1989)
Inventiones mathematicae
Elisabetta Strickland (1987)
Mathematische Annalen
Michael G. Cowling, Stefano Meda, Alberto G. Setti (2010)
Colloquium Mathematicae
We give a simple proof of a result of R. Rochberg and M. H. Taibleson that various maximal operators on a homogeneous tree, including the Hardy-Littlewood and spherical maximal operators, are of weak type (1,1). This result extends to corresponding maximal operators on a transitive group of isometries of the tree, and in particular for (nonabelian finitely generated) free groups.
Balan, Vladimir, Dorfmeister, Josef (2000)
Balkan Journal of Geometry and its Applications (BJGA)
Genkai Zhang (1992)
Studia Mathematica
The group SU(1,d) acts naturally on the Hilbert space , where B is the unit ball of and the weighted measure . It is proved that the irreducible decomposition of the space has finitely many discrete parts and a continuous part. Each discrete part corresponds to a zero of the generalized Harish-Chandra c-function in the lower half plane. The discrete parts are studied via invariant Cauchy-Riemann operators. The representations on the discrete parts are equivalent to actions on some holomorphic...
Jaak Peetre, Gen Kai Zhang (1992)
Collectanea Mathematica
Linda Saal (2010)
Colloquium Mathematicae
It is well known that (U(p,q),Hₙ) is a generalized Gelfand pair. Applying the associated spectral analysis, we prove a theorem of Wiener Tauberian type for the reduced Heisenberg group, which generalizes a known result for the case p = n, q = 0.
Maciej Malicki (2016)
Fundamenta Mathematicae
We study a class of abelian groups that can be defined as Polish pro-countable groups, as non-archimedean groups with a compatible two-sided invariant metric or as quasi-countable groups, i.e., closed subdirect products of countable discrete groups, endowed with the product topology. We show that for every non-locally compact, abelian quasi-countable group G there exists a closed L ≤ G and a closed, non-locally compact K ≤ G/L which is a direct product of discrete countable groups....
Oliver Baues, Vicente Cortés (2002)
Annales de l’institut Fourier
The set of all Abelian simply transitive subgroups of the affine group naturally corresponds to the set of real solutions of a system of algebraic equations. We classify all simply transitive subgroups of the symplectic affine group by constructing a model space for the corresponding variety of solutions. Similarly, we classify the complete global model spaces for flat special Kähler manifolds with a constant cubic form.
W.W. COMFORT, Dieter Remus (1994)
Forum mathematicum
M. KUGA, I. SATAKE (1967)
Mathematische Annalen