Some subregular germs for \(p\)-adic \(Sp_ 4(F)\) (Q1345772)

The Shalika germ expansion [\textit{J. Shalika}, Ann. Math., II. Ser. 95, 226-242 (1972; Zbl 0281.22011)] expresses semisimple orbital integrals on \(p\)-adic reductive groups in terms of unipotent ones and some universal germs. It has become an important tool in \(p\)-adic harmonic analysis, especially in applications of the trace formula. In the present paper the authors give explicit computations of some subregular germs in the group \(G= Sp_4(F)\) for a \(p\)-adic field \(F\).