Variations on a theme of Debs and Saint Raymond

• Autores: T. W. Körner
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 79, Nº 1, 2009, págs. 33-52
• Idioma: inglés
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• Resumen

  • A famous theorem of Debs and Saint Raymond states that the complement of a set of first category is of strong multiplicity. We prove a theorem which combines this with a result of Rudin which states that independent closed sets of strong multiplicity exist. We also prove a theorem which combines the theorem of Debs and Saint Raymond with a theorem of Wiener and Wintner which states that there exists a measure with singular support whose convolution square is absolutely continuous