Preprints

  • The Schwartz space for the (k, a)-generalized Fourier transform and the minimal representation of the conformal group [arXiv]

Peer-reviewed papers

  • (k, a)-generalized Fourier transform with negative a [arXiv]

    In: Geometric and Harmonic Analysis on Homogeneous Spaces and Applications (edited by Ali Baklouti and Hideyuki Ishi), Springer Proceedings in Mathematics & Statistics, Springer, 2026, to appear

  • Contraction of the sl2-Triple Associated to the (k, a)-Generalized Fourier Transform [arXiv] [paper]

    Symmetry, Integrability and Geometry: Methods and Applications 22 (2026), 011, 18 pages

  • ニューラルネットワークにおける対称性ペナルティについて (with Ryosuke Yano) [paper]

    (On symmetry penalties in neural networks)

    数理科学実践研究レター (Letters in Mathematical Science Research) 2025-10 (2025), 6 pages

Non-peer-reviewed papers

  • (k, a)-一般化Fourier変換に伴う微分作用素のsl2-三対の収縮

    (Contraction of the sl2-triple associated to the (k, a)-generalized Fourier transform)

    In: RIMS Kôkyûroku (edited by Nagatoshi Sasano), 2026, to appear

Thesis

  • On the (k, a)-generalized Fourier transform and the minimal representation of the conformal group ((k, a)一般化Fourier変換と共形変換群の極小表現について)

    Ph.D. thesis | Graduate School of Mathematical Sciences, the University of Tokyo
    Mar 2026

  • Lie代数sl(2, R)の微分作用素による表現の変形パラメータの反転，および関連するスペクトル分解の収束公式

    (Inversion of the deformation parameter for representations of the Lie algebra sl(2, R) via differential operators, and convergence formulas for related spectral decompositions)

    Master’s thesis | Graduate School of Mathematical Sciences, the University of Tokyo
    Mar 2023