Wavelet decomposition of harmonic functions in growth spaces

Details Wavelet decomposition of harmonic functions in growth spaces Wavelet decomposition of harmonic functions in growth spaces

2012-03-23

arxiv.org/abs/1203.5290v1

Mathematics

Functional Analysis

18 pages

Scientific paper

Spaces of harmonic functions in upper half-space with controlled growth near
the boundary are described in terms of multiresolution approximations. The
results are applied to prove the law of the iterated logarithm for the
oscillation of harmonic functions along vertical lines.

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