Contact

Faculty of Mathematics
University of Vienna
Oskar-Morgenstern-Platz 1
1090 Vienna, Austria

Email: jordy-timo.van-velthoven@univie.ac.at

Research interests

Fourier analysis, harmonic analysis, representation theory of Lie groups; in particular: asymptotics of matrix coefficients, density conditions for coherent state subsystems, localisation of frames and Riesz bases, multiparameter function spaces and singular integral operators.

Publications

• van Velthoven, J.T. Density conditions with stabilisers for lattice orbits of discrete series representations. arXiv. 

• Hu, G., Rottensteiner, D., Ruzhansky, M., van Velthoven, J.T. Besov and Triebel-Lizorkin spaces on homogeneous groups. arXiv.

• van Velthoven, J.T., Voigtlaender, F. Discrete Triebel-Lizorkin spaces and expansive matrices. arXiv.

• Burde, D., van Velthoven, J.T. Characteristically nilpotent Lie groups with flat coadjoint orbits. J. Lie Theory. To Appear. arXiv.

• van Velthoven, J.T., Voigtlaender, F. Coorbit spaces associated to quasi-Banach function spaces and their molecular decomposition. Mém. Soc. Math. Fr. To Appear. arXiv. OWP.

• Enstad, U., van Velthoven, J.T. Coherent systems over approximate lattices in amenable groups. Ann. Inst. Fourier. To Appear. Journal.  arXiv.

• Papageorgiou, E.., van Velthoven, J.T. Counting function estimates for coherent frames and Riesz sequences. Ann. Mat. Pura Appl. To Appear. Journal.  arXiv.

• Bownik, M., van Velthoven, J.T. On exponential frames near the critical density. Adv. Math. 467, Paper No. 110180, 30 p. (2025). Journal.  arXiv.

• Enstad, U., van Velthoven, J.T. Linear independence of coherent systems associated to discrete subgroups. Bull. Lond. Math. Soc. 57, No. 2, 315-329 (2025). Journal. arXiv.

• Bruno, T., van Velthoven, J.T. Hardy spaces and dilations on homogeneous groups. Proc. Am. Math. Soc. 153, No. 1, 405-420 (2025). Journal.  arXiv.

• Führ, H., van Velthoven, J.T., Voigtlaender, F. On wavelet coorbit spaces associated to different dilation groups. J. Fourier Anal. Appl.  30, Paper No. 74, 43 p. (2024) Journal. arXiv.

• van Velthoven, J.T., Voigtlaender, F. Classification of anisotropic local Hardy spaces and inhomogeneous Triebel-Lizorkin spaces.  Math. Z. 307,  No. 3, Paper No. 55, 30 p. (2024) Journal.  arXiv.

• Beltita, I., van Velthoven, J.T.. Symplectic projective orbits of unimodular exponential Lie groups. Bull. Sci. Math. 194, Article ID 103445, 19 p. (2024).  Journal.  arXiv.

• Koppensteiner, S., van Velthoven, J.T., Voigtlaender, F. Classification of anisotropic Triebel-Lizorkin spaces. Math. Ann.  389, No. 2, 1883-1923 (2024). Journal. arXiv.

•  Caspers, M., van Velthoven, J.T. Overcompleteness of coherent frames for unimodular amenable groups. Ark. Math. 61, No. 2, 277-299 (2023). Journal. arXiv.

• Koppensteiner, S., van Velthoven, J.T., Voigtlaender, F. Anisotropic Triebel-Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups, II. Monatsh. Math. 201, No.2, 431-464 (2023). Journal. arXiv.

• Koppensteiner, S., van Velthoven, J.T., Voigtlaender, F. Anisotropic Triebel-Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups, I. Monatsh. Math. 201, No. 2, 375-429 (2023). Journal. arXiv.

•  van Velthoven, J.T. Integrability properties of quasi-regular representations of NA groups. C.R. Math. Acad. Sci. Paris. 360, 1125-1134 (2022). Journal. arXiv.

• Enstad, U., van Velthoven, J.T. On sufficient density conditions for lattice orbits of relative discrete series. Arch. Math. 119, No.3, 279-291 (2022). Journal. arXiv.

• Caspers, M., van Velthoven, J.T. Density conditions with stabilizers for lattice orbits of Bergman kernels on bounded symmetric domains. Math. Z. 302, No.1, 609-628 (2022). Journal. arXiv. 

•  van Velthoven, J.T. Completeness of coherent state subsystems for nilpotent Lie groups. C.R. Math. Acad. Sci. Paris. 360, 799-808 (2022). Journal. arXiv.

• Bédos, E., Enstad, U., van Velthoven, J.T. Smooth lattice orbits of nilpotent groups and strict comparison of projections. J. Funct. Anal. 283, No. 6, Article ID  109572, 48p.  (2022). Journal. arXiv.

• Romero, J.L., van Velthoven, J.T. The density theorem for discrete series representations restricted to lattices. Expo. Math.  40, No. 2, 265 - 301 (2022).  Journal.  arXiv.

• Romero, J.L., van Velthoven, J.T., Voigtlaender, F. Invertibility of frame operators on Besov-type decomposition spaces. J. Geom. Anal. 32, No. 5, Paper No. 149, 72p.  (2022). Journal.  arXiv. 

• Führ, H., van Velthoven, J.T. Coorbit spaces associated to integrably admissible dilation groups. J. Anal. Math. 144,  No. 1, 351-395 (2021).  Journal.  arXiv.

• Romero, J.L., van Velthoven, J.T., Voigtlaender, F. On dual molecules and convolution-dominated operators. J. Funct. Anal.  280, No. 10, Article ID 108963, 56p. (2021).  Journal.  arXiv.

• Gröchenig, K., Romero, J.L., Rottensteiner, D., van Velthoven, J.T. Balian-Low type theorems on homogeneous groups. Anal. Math. 46, No.3, 483-515 (2020). Journal.  arXiv.

• Lemvig, J., van Velthoven, J.T. Criteria for generalized translation-invariant frames. Studia Math. 251, No. 1, 31-63 (2020). Journal. arXiv.

• van Velthoven, J.T. On the local integrability condition for generalised translation-invariant systems. Collect. Math. 70, No. 3, 407–429 (2019). Journal. arXiv.