The following list contains the API functions easily seen from checking tsappcmp.dll in a tool such as Dependency Walker. They appear to be identical to the set exposed by .NET server.
GetTermsrCompatFlags GetTermsrCompatFlagsEx TermServPrepareAppInstallDueMSI TermServProcessAppInstallDueMSI TermsrvAdjustPhyMemLimits TermsrvBuildIniFileName TermsrvBuildSysIniPath TermsrvCheckNewIniFiles TermsrvConvertSysRootToUserDir TermsrvCopyIniFile TermsrvCORIniFile TermsrvCreateRegEntry TermsrvDeleteKey TermsrvDeleteValue TermsrvFormatObjectName TermsrvGetComputerName TermsrvGetPreSetValue TermsrvGetString TermsrvGetWindowsDirectoryA TermsrvGetWindowsDirectoryW TermsrvLogInstallIniFile TermsrvLogInstallIniFileEx TermsrvOpenRegEntry TermsrvOpenUserClasses TermsrvRemoveClassesKey (new for .NET) TermsrvRestoreKey TermsrvSetKeySecurity TermsrvSetValueKey TermsrvUpdateAllUserMenu