Resonance Classes of Measures
نویسنده
چکیده
We extend F. Holland’s definition of the space of resonant classes of functions, on the real line, to the space R(#pq) (I p, q ) of resonant classes of measures, on locally compact abelian groups. We characterize this space in terms of transformable measures and establish a realatlonship between R(pq) and the set of positive definite functions for amalgam spaces. As a consequence we answer the conjecture posed by L. Argabright and J. Gil de Lamadrld in their work on Fourier analysis of unbounded
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