A fractal Plancherel theorem

A measure μ on Rn is called locally and uniformly h-dimensional if μ(Br(x)) ≤ h(r) for all x ∈ Rn and for all 0 < r < 1, where h is a real valued function. If f ∈ L2(μ) and Fμf denotes its Fourier transform with respect to μ, it is not true (in general) that Fμf ∈ L2 (e.g. [10]). Howev...

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Publicado: 2009
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01471937_v34_n1_p69_Molter
http://hdl.handle.net/20.500.12110/paper_01471937_v34_n1_p69_Molter
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