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Invariant mean value property and harmonic functions |
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| Abstract: | We give conditions on the functions and u on [image omitted] such that if u is given by the convolution of and u, then u is harmonic on [image omitted]. |
| Keywords: | Harmonic functions Mean value property Convolution transform Heat kernel Fourier transforms Paley-Wiener theorem Fourier hyperfunctions Gelfand-Shilov spaces Weyl's lemma 2000 Mathematics Subject Classifications: Primary 46F12, 46F15 Secondary 30D15 |