Survey of spectra of Laplacians on finite symmetric spaces.
Displaying 261 – 280 of 324
Symbol calculus on the affine group "ax + b"
Qihong Fan (1995)
Studia Mathematica
The symbol calculus on the upper half plane is studied from the viewpoint of the Kirillov theory of orbits. The main result is the -estimates for Fuchs type pseudodifferential operators.
Tempered reductive homogeneous spaces
Yves Benoist, Toshiyuki Kobayashi (2015)
Journal of the European Mathematical Society
Let be a semisimple algebraic Lie group and a reductive subgroup. We find geometrically the best even integer for which the representation of in is almost . As an application, we give a criterion which detects whether this representation is tempered.
Terme constant des fonctions tempérées sur un espace symétrique réductif.
Jacques Carmona (1997)
Journal für die reine und angewandte Mathematik
The Abel transform and shift operators
R. J. Beerends (1988)
Compositio Mathematica
The Capelli identity and unitary representations
Siddhartha Sahi (1992)
Compositio Mathematica
The evolution and Poisson kernels on nilpotent meta-abelian groups
Richard Penney, Roman Urban (2013)
Studia Mathematica
Let S be a semidirect product S = N⋊ A where N is a connected and simply connected, non-abelian, nilpotent meta-abelian Lie group and A is isomorphic to , k>1. We consider a class of second order left-invariant differential operators on S of the form , where , and for each is left-invariant second order differential operator on N and , where Δ is the usual Laplacian on . Using some probabilistic techniques (e.g., skew-product formulas for diffusions on S and N respectively) we obtain an...
The Fatou theorem for NA groups - a negative result
Jarosław Sołowiej (1994)
Colloquium Mathematicae
The Fourier transform of functions satisfying the Lipschitz condition on rank 1 symmetric spaces.
Platonov, S.S. (2005)
Sibirskij Matematicheskij Zhurnal
The Fourier Transform of Harish-Chandra's c-Function and Inversion of the Able Transform.
R.J. Beerends (1987)
Mathematische Annalen
The Helgason-Fourier transform for symmetric spaces. II.
Mohanty, Parasar, Ray, Swagato K., Sarkar, Rudra P., Sitaram, Alladi (2004)
Journal of Lie Theory
The infinite Brownian loop on a symmetric space.
Jean-Philippe Anker, Philippe Bougerol, Thierry Jeulin (2002)
Revista Matemática Iberoamericana
The irreducible unitary -spherical representations of
G. Van Dijk, M. Poel (1990)
Compositio Mathematica
The Lévy-Khintchine-Formula for Dissipative Distributions.
Hansmartin Zeuner (1986)
Mathematische Annalen
The Logarithmic Hardy-Littlewood-Sobolev Inequlity and Extremals of Zeta Functions on Sn.
C. Morpurgo (1996)
Geometric and functional analysis
The non-semi-simple term in the trace formula for rank one lattices.
Werner Hoffmann (1987)
Journal für die reine und angewandte Mathematik
The Plancherel formula for the pseudo-riemannian space
G. Van Dijk, M. Poel (1986)
Compositio Mathematica
The Poisson Transform for Split Reductive Symmetric Spaces.
H. Thorleifsson (1996)
Mathematica Scandinavica
The principal series for a reductive symmetric space. I. -fixed distribution vectors
E. P. van den Ban (1988)
Annales scientifiques de l'École Normale Supérieure
The reciprocal of the beta function and Whittaker functions
Eric Stade (1994)
Annales de l'institut Fourier
In this paper we derive, using the Gauss summation theorem for hypergeometric series, a simple integral expression for the reciprocal of Euler’s beta function. This expression is similar in form to several well-known integrals for the beta function itself.We then apply our new formula to the study of Whittaker functions, which are special functions that arise in the Fourier theory for automorphic forms on the general linear group. Specifically, we deduce explicit integral representations of “fundamental”...