A \(p\)-adic Eisenstein measure for unitary groups (Q2254708)

This paper constructs a \(p\)-adic Eisenstein measure with values in the space of \(p\)-adic automorphic forms on certain unitary groups, which gives the first step towards constructing the \(p\)-adic \(L\)-functions for these automorphic forms. This is a generalization of the prior work of \textit{M. Harris} et al. [Doc. Math., J. DMV Extra Vol., 393--464 (2007; Zbl 1143.11019)], by including the discussion of the role of differential operators as developed by the author [Ann. Inst. Fourier 62, No. 1, 177--243 (2012; Zbl 1257.11054)]. As a result, the author can \(p\)-adically interpolate certain special values for both holomorphic Eisenstein series (as did in Harris-Li-Skinner) and non-holomorphic Eisenstein series. The latter will become essential for the construction of non-ordinary \(p\)-adic \(L\)-functions.