Displaying similar documents to “A multiplier theorem for continuous measures”

On Riesz product measures ; mutual absolute continuity and singularity

Shelby J. Kilmer, Sadahiro Saeki (1988)

Annales de l'institut Fourier

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We give some criteria for mutual absolute continuity and for singularity of Riesz product measures on locally compact abelian groups. The first section gives the definition of such a measure which is more general than the usual definition. The second section provides three sufficient conditions for one Riesz product measure to be absolutely continuous with respect to another. One of our results contains a theorem of Brown-Moran-Ritter as a special case. The final section deals with random...

Sets of multiplicity in locally compact abelian groups

Nicolas Th. Varopoulos (1966)

Annales de l'institut Fourier

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Dans tout groupe abélien localement compact G , il existe une mesure de Radon dont la transformée de Fourier tend vers zéro à l’infini et dont le support engendre dans G un sous-groupe de mesure de Haar nulle.