- (with A. Hoshiya) Dispersive estimates for Schrödinger operators with negative Coulomb-like potentials in one dimension, preprint (2026) arXiv:2603.29731.
Papers:
(with K. Higuchi and V. Louatron) A microlocal Cauchy problem through a crossing point of Hamiltonian flows, to appear in J. Spectr. Theory. arXiv:2504.13693.
Dispersive estimates and optimality for Schrödinger equations on product cones, Forum Mathematicum, (2026), arXiv:2503.21527. Article link
Equivalence of classical and quantum completeness for real principal type operators on the circle, Trans. Amer. Math. Soc. (2025), arXiv:2004.07547 Article link
Local time decay for fractional Schrödinger operators with slowly decaying potentials, Annales Henri Poincaré (2026), 691-730, arXiv:2403.16148. Article link
(with H. Tamori) Strichartz estimates for the (k,a)-generalized Laguerre operators, SIGMA 21 (2025), 014, 37 pages, arxiv:2308.16815. Article link
(with S. Nakamura) A remark on the essential self-adjointness for Klein-Gordon type operators, Annales Henri Poincaré. 24 (2023), no. 8, 2587--2605. arXiv:2202.13499. Article link
(with S. Nakamura) Essential self-adjointness for Klein-Gordon type operators on asymptotically static Cauchy-compact spacetimes, Commun.Math.Phys. 398 (2023), no. 3, 1153-1169, arXiv:2203.00178. Article link
Smoothness of the fundamental solution of Schrödinger equations with mild trapping, Proc. Amer. Math. Soc. 151 (2023) no. 5, 2073-2080. arXiv:2203.01499. Article link
A remark on Strichartz estimates for Schrödinger equations with slowly decaying potentials, Proc. Amer. Math. Soc. 150 (2022), no. 9, 3953--3958, arXiv:2108.02900. Article link
Remarks on the geodesically completeness and the smoothing effect on asymptotically Minkowski spacetimes, Lett. Math. Phys. 112 (2022), no. 22, arXiv:2107.10509. Article link
Limiting absorption principle and equivalence of Feynman propagators on asymptotically Minkowski spacetimes, Commun. Math. Phys. 388 (2021), 625-655, arXiv:2012.07946. Article link
Uniform resolvent estimates for the discrete Schrödinger operators in dimension three, J. Spectr. Theory. 11, (2021), 1831-1855, arXiv:2005.09366. Article link
(with S. Nakamura) Essential self-adjointness of real principal type operators, Ann. Henri Lebesgue. 4, (2021), 1035--1059, arXiv:1912.05711. Article link
Limiting absorption principle on L^p-spaces and scattering theory, J. Math. Phys. 61, (2020), 092106. arXiv:1904.00505. Article link
Scattering theory for repulsive Schrödinger operators and applications to limit circle problem, Anal. PDE. 14, (2021), 2101-2122, arXiv:1904.04212. Article link
(with Y. Nomura) Some properties of threshold eigenstates and resonant states of discrete Schrödinger operators, Annales Henri Poincaré. 21(6), (2020), 2009-2030, arXiv:1909.10014. Article link
Strichartz estimates for non-degenerate Schrödinger equations, Math. Nachr. 293 (2020), 774-793, arXiv:1708.0198. Article link
(with Y. Tadano) Uniform bounds of discrete Birman-Schwinger operators, Trans. Amer. Math. Soc. 372 (2019), 5243-5262, arXiv:1811.10279. Article link
Smoothness of the fundamental solutions to Schrödinger equations on Riemannian manifolds, abstract for the seminar in 熊本大学応用解析セミナー (2022). Article link
Strichartz estimates for (k, a)-generalized Laguerre operators (Japanese), abstract for the seminar in 神楽坂解析セミナー (2024). Article link
Essential self-adjointness and spectral theory for the d’Alembertian on Lorentzian manifolds, 2025年日本数学会特別公演予稿, Article link