CVClient

中村 周

ナカムラ シュウ  (Shu Nakamura)

基本情報

所属
学習院大学 理学部数学科 教授
学位
理学博士(東京大学)

研究者番号
50183520
J-GLOBAL ID
201801011273360999
researchmap会員ID
B000313695

外部リンク

論文

 80

MISC

 34
  • Shu Nakamura, Kouichi Taira
    2022年3月1日  
    Let $X=\mathbb{R}\times M$ be the spacetime, where $M$ is a closed manifold equipped with a Riemannian metric $g$, and we consider a symmetric Klein-Gordon type operator $P$ on $X$, which is asymptotically converges to $\partial_t^2-\triangle_g$ as $|t|\to\infty$, where $\triangle_g$ is the Laplace-Beltrami operator on $M$. We prove the essential self-adjointness of $P$ on $C_0^\infty(X)$. The idea of the proof is closely related to a recent paper by the authors on the essential self-adjointness for Klein-Gordon operators on asymptotically flat spaces.
  • Shu Nakamura, Kouichi Taira
    2022年2月28日  
    Here we discuss a new simplified proof of the essential self-adjointness for formally self-adjoint differential operators of real principal type, previously proved by Vasy (2020) and Nakamura-Taira (2021). For simplicity, here we discuss the second order cases, i.e., Klein-Gordon type operators only.
  • Pavel Exner, Shu Nakamura, Yukihide Tadano
    2022年2月14日  
    We consider the quantum graph Hamiltonian on the square lattice in Euclidean space, and we show that the spectrum of the Hamiltonian converges to the corresponding Schrödinger operator on the Euclidean space in the continuum limit, and that the corresponding eigenfunctions and eigenprojections also converge in some sense. We employ the discrete Schrödinger operator as the intermediate operator, and we use a recent result by the second and third author on the continuum limit of the discrete Schrödinger operator.
  • Shu Nakamura
    2021年1月9日  
    We propose a method of data quantization of finite discrete-time signals which optimizes the error estimate of low frequency Haar coefficients. We also discuss the error/noise bounds of this quantization in the Fourier space. Our result shows one can quantize any discrete-time analog signal with high precision at low frequencies. Our method is deterministic, and it employs no statistical arguments, nor any probabilistic assumptions.
  • Shu Nakamura
    2018年4月16日  
    We consider scattering matrix for Schr\&quot;odinger-type operators on $R^d$ with<br /> perturbation $V(x)=O(\langle x\rangle^{-1})$ as $|x|\to\infty$. We show that<br /> the scattering matrix (with time-independent modifiers) is a pseudodifferential<br /> operator. We present examples of which the spectrum of the scattering matrix is<br /> dense point spectrum.

共同研究・競争的資金等の研究課題

 15