Abstract
In this paper, we first survery some Pompeiu-type theorems in $\Bbb R^n$. As consequences of some of these results, we obtain some Morera-type theorems in one and several complex variables. We also use the heat kernel of the sub-Laplacian to obtain a Pompeiu-type theorem for $L^{p,q}$ functions in the Heisenberg group.
Citation
Der-Chen Chang. "ON THE BOUNDARY OF FOURIER AND COMPLEX ANALYSIS: THE POMPEIU PROBLEM." Taiwanese J. Math. 6 (1) 1 - 37, 2002. https://doi.org/10.11650/twjm/1500407397
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