## Some subregular germs for $$p$$-adic $$Sp_ 4(F)$$.(English)Zbl 0837.22007

The Shalika germ expansion [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 $$F$$.

### MSC:

 22E35 Analysis on $$p$$-adic Lie groups 11S80 Other analytic theory (analogues of beta and gamma functions, $$p$$-adic integration, etc.)

Zbl 0281.22011
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