The Singularity of Orbital Measures on Compact Lie Groups

• Autores: K.E. Hare, W.L. Yee
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 20, Nº 2, 2004, págs. 517-530
• Idioma: inglés
• DOI: 10.4171/rmi/399
• Títulos paralelos:
  • La singularidad de las medidas orbitales sobre grupos de Lie compactos.
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• Resumen

  • We find the minimal real number k such that the kth power of the Fourier transform of any continuous, orbital measure on a classical, compact Lie group belongs to l2. This results from an investigation of the pointwise behaviour of characters on these groups. An application is given to the study of Lp-improving measures.