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理学部 数学科

Researcher List >> Shu Nakamura
 

Shu Nakamura

 
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NameShu Nakamura
URLhttp://pc1.math.gakushuin.ac.jp/~shu/
AffiliationGakushuin University
SectionGraduate School of Mathematical Sciences
Job title教授
Degree理学博士(東京大学)
Research funding number50183520
J-Global ID201801011273360999

Research Interests

 
microlocal analysis ,semiclasical analysis ,scattering theory ,Schrodinger equations

Research Areas

 
  • Natural sciences / Basic analysis / functional analysis, functional equations

Papers

 
 
Shu Nakamura   Kouichi Taira   
Annales Henri Poincaré      Feb 2023   [Refereed]
 
Shu Nakamura   
Analysis and PDE   15(7) 1725-1762   Dec 2022   [Refereed]
 
Shu Nakamura   Kouichi Taira   
Communications in Mathematical Physics   398(3) 1153-1169   Nov 2022   [Refereed]
 
Pavel Exner   Shu Nakamura   Yukihide Tadano   
Letters in Mathematical Physics   112(4)    Aug 2022   [Refereed]
 
Shu Nakamura   Kouichi Taira   
Annales Henri Lebesgue   4 1035-1059   Sep 2021   [Refereed]

Misc.

 
 
Shu Nakamura   Kouichi Taira   
   Mar 2022
Let Tex be the spacetime, where Tex is a closed manifold
equipped with a Riemannian metric Tex, and we consider a symmetric Klein-Gordon
type operator Tex on Tex, which is asymptotically converges to
Tex a...
 
Shu Nakamura   Kouichi Taira   
   Feb 2022
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 secon...
 
Pavel Exner   Shu Nakamura   Yukihide Tadano   
   Feb 2022
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 ...
 
Shu Nakamura   
   Jan 2021
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 ...
 
Shu Nakamura   
   Apr 2018   
We consider scattering matrix for Schr\&quot;odinger-type operators on Tex with<br />
perturbation Tex as Tex. We show that<br />
the scattering matrix (with time-independent modifiers) is a pseudodifferent...

Research Projects

 
 
Aharonov-Bohm effect in resonances for magnetic scattering
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research
TAMURA Hideo KAKEHI Tomoyuki IWATSUKA Akira ICHINOSE Takashi MINE Takuya FUJIIE Seturo YAJIMA Kenji NAKAMURA Shu 
Project Year: Apr 2013 - Mar 2016
 
Mathematical Analysis of Quantum Physics
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research
YAJIMA Kenji FUJIWARA Daisuke NAKAMURA Shu MIZUTANI Akira WATANABE Kazuo SHIMOMURA Akihiro 
Project Year: 2006 - 2009
 
Research on Spectra of Random Schrodinger Operators
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research
UEKI Naomasa MINAMI Nariyuki NAKAMURA Shu SHIGEKAWA Ichiro KOTANI Shinichi 
Project Year: 2006 - 2007
 
Multi-wavelet frames and applications to harmonic analysis
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research
ARAI Hitoshi NAKAMURA Shu YOSHIDA Nakahiro KANJIN Yuichi TACHIZAWA Kazuya 
Project Year: 2004 - 2006
 
Mathematical Analysis of Quantum Physics
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research
YAJIMA Kenji NAKAMURA Shu FUJIWARA Daisuke MIZUTANI Akira WATANABE Kazuo SHIIMOMURA Akihiro 
Project Year: 2002 - 2005