Articles (peer-reviewed)

1. V. Pérez-Valdés. On sporadic symmetry breaking operators for principal series representations of the de Sitter and Lorentz groups. To appear in the Journal of Functional Analysis, arXiv:2506.23064.

2. V. Pérez-Valdés. Construction and classification of differential symmetry breaking operators for principal series representations of the pair (SO_0(4,1), SO_0(3,1)) for special parameters. In: Baklouti, A., Ishi, H. (eds). Geometric and Harmonic Analysis on Homogeneous Spaces and Applications. TJC 2023. Springer Proceedings in Mathematics & Statistics, vol 3. Springer, Cham. (2026), pp. 260--315.

3. V. Pérez-Valdés. Conformally covariant differential symmetry breaking operators for a vector bundle of rank 3 on S^3.  International Journal of Mathematics. Vol. 34 (2023), no. 12, Paper No. 2350072.

4. E. Martín-Peinador, V. Pérez Valdés. Correction to: A class of topological groups which do not admit normal compatible locally quasi-convex topologies. Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A. Math. RACSAM, Vol. 112, no. 3 (2018) pp 877. 

5. E. Martín-Peinador, V. Pérez Valdés. A class of topological groups which do not admit normal compatible locally quasi-convex topologies. Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A. Math. RACSAM, Vol. 112, no. 3 (2018) pp 867--876. 

Non-peer-reviewed papers, notes, others

1. V. Pérez-Valdés. On differential intertwining operators for SL(3,R) on a full flag manifold (in Japanese).  In Nagatoshi Sasano editor, Proceedings of the RIMS Symposia "Recent Development on Representation Theory, Lie Theory and Related Areas" (RIMS kôkyûroku) no. 2338 (2026), pp. 143-156.

2. V. Pérez-Valdés. Graph Theory: The Art of Connecting the Dots Without Losing Your Mind (in Spanish). Revista EnlACE Japón, 2 (Journal of the Association of Spanish Researchers in Japan), 2025, 45-56 pp.

3. V. Pérez-Valdés. On differential symmetry breaking operators for principal series representations of the pair (SO_0(4,1), SO_0(3,1)) (in Japanese). In Yuichiro Tanaka editor. Proceedings of the RIMS Symposia "Expansion in Representation Theory and Harmonic Analysis" (RIMS kôkyûroku) no. 2297 (2024), pp. 16-27. 

4. V. Pérez-Valdés. Large Numbers: Beyond Imagination (in Spanish). Revista EnlACE Japón, 1 (Journal of the Association of Spanish Researchers in Japan), 2024, 37-49 pp.

5. V. Pérez Valdés. Construction of vector-valued differential symmetry breaking operators for the group SO(4,1) (in Japanese). In T. Kubo and M. Itoh editors. Proceedings of the Symposium on Representation Theory 2021, 123-136 pp., 2021.

6. V. Pérez Valdés. Normality and Duality on Topological Groups. In Yoshiki Oshima editor, Proceedings of the RIMS Symposia "Developments in Representation Theory and Related Topics" (RIMS kôkyûroku) no. 2139 (2019), pp. 100-112.

Preprints

1. T. Kubo, V. Pérez-Valdés. The truncated symbol of a differential symmetry breaking operator. 56 pages (2025), arXiv:2506.23599