According to P.4 of PhD thesis I referred in another thread R. de la Madrid, "Quantum Mechanics in Rigged Hilbert Space Language,"
PhD Thesis (2001) referred in Wikipedia
https://en.wikipedia.org/wiki/Rigged_Hilbert_space
Nowadays the RHS is textbook material [12, 13, 14, 15, 16, 17, 18].
[12] D. Atkinson, P. W. Johnson, Quantum Field Theory, Rinton Press, Princeton (2002).
[13] N. N. Bogolubov, A. A. Logunov, I. T. Todorov, Introduction to Axiomatic Quantum Field Theory, Benjamin, Reading, Massachusetts (1975).
[14] L. E. Ballentine, Quantum Mechanics, Prentice-Hall International, Inc., Englewood Cliffs, New Jersey (1990).[15] A. Bohm, Quantum Mechanics: Foundations and Applications, Springer-Verlag, New York (1994).
[16] A. Z. Capri, Nonrelativistic Quantum Mechanics, Benjamin, Menlo Park, California (1985). [17] D. A. Dubin, M. A. Hennings, Quantum Mechanics, Algebras and Distributions, Longman, Harlow (1990).
[18] A. Galindo, P. Pascual, Mec´anica Cu´antica, Universidad-Manuales, Eudema (1989); English translation by J. D. Garc´ıa and L. Alvarez-Gaum´e, Springer-Verlag (1990).
I assume after this paper of more than two decades ago .many more modern texts refer RHS.