  We provide explicit sequence space representations for the test function and
distribution spaces occurring in the Valdivia-Vogt structure tables by making
use of Wilson bases generated by compactly supported smooth windows.
Furthermore, we show that these kind of bases are common unconditional Schauder
bases for all separable spaces occurring in these tables. Our work implies that
the Valdivia-Vogt structure tables for test functions and distributions may be
interpreted as one large commutative diagram.
