Displaying similar documents to “Harmonic functions on loop groups”

Superposition rules and stochastic Lie–Scheffers systems

Joan-Andreu Lázaro-Camí, Juan-Pablo Ortega (2009)

Annales de l'I.H.P. Probabilités et statistiques

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This paper proves a version for stochastic differential equations of the Lie–Scheffers theorem. This result characterizes the existence of nonlinear superposition rules for the general solution of those equations in terms of the involution properties of the distribution generated by the vector fields that define it. When stated in the particular case of standard deterministic systems, our main theorem improves various aspects of the classical Lie–Scheffers result. We show that the stochastic...

A geometric classification of Lie groups.

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.

Besov spaces and function series on Lie groups (II).

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].