Asymptotic Balayage in Hardy and Bergman Spaces

Nicholas F. Dudley Ward


For a range of Hardy and Bergman spaces and sets of uniqueness we show that for any functional in the dual there exists a sequence of measures supported on K converging weak-* to the functional. In particular we consider H^2 of the right half plane and obtain a Carleman type formula for the continuous wavelet transform.

Hardy Spaces, Bergman Spaces, Sets of uniqueness, Wavelets

Math Review Classification
Primary 30H05 ; Secondary 42C40

Last Updated
June 2002

15 pages

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