spaces in tubes and distributional boundary values
We construct a function f holomorphic in a balanced domain D in such that for every positive-dimensional subspace Π of , and for every p with 1 ≤ p < ∞, is not -integrable on Π ∩ D.
We study a natural system of second order differential operators on a symmetric Siegel domain that is invariant under the action of biholomorphic transformations. If is of type two, the space of real valued solutions coincides with pluriharmonic functions. We show the main idea of the proof and give a survey of previous results.