Besov spaces and function series on Lie groups.
Skrzypczak, Leszek (1993)
Commentationes Mathematicae Universitatis Carolinae
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Skrzypczak, Leszek (1993)
Commentationes Mathematicae Universitatis Carolinae
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Leszek Skrzypczak (1993)
Collectanea Mathematica
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In this paper we investigate the absolute convergence in the sup-norm of two-sided Harish-Chandra's Fourier series of functions belonging to Zygmund-Hölder spaces defined on non-compact connected Lie groups. [Part I of the article in MR1240211].
Hebda, James J. (2010)
International Journal of Mathematics and Mathematical Sciences
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Nicholas T. Varopoulos (2000)
Revista Matemática Iberoamericana
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This paper is part of a general program that was originally designed to study the Heat diffusion kernel on Lie groups.
Aleksej Tralle (1989)
Commentationes Mathematicae Universitatis Carolinae
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Leszek Skrzypczak (1998)
Commentationes Mathematicae Universitatis Carolinae
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In this paper the absolute convergence of the group Fourier transform for the Heisenberg group is investigated. It is proved that the Fourier transform of functions belonging to certain Besov spaces is absolutely convergent. The function spaces are defined in terms of the heat semigroup of the full Laplacian of the Heisenberg group.
Stefan Halverscheid, Andrea Iannuzzi (2006)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On any real semisimple Lie group we consider a one-parameter family of left-invariant naturally reductive metrics. Their geodesic flow in terms of Killing curves, the Levi Civita connection and the main curvature properties are explicitly computed. Furthermore we present a group theoretical revisitation of a classical realization of all simply connected 3-dimensional manifolds with a transitive group of isometries due to L. Bianchi and É. Cartan. As a consequence one obtains a characterization...