Organization
Graduate School of Science and Engineering (Engineering) Major of Science and Engineering Applied Information Engineering Professor
Title
Professor
Contact information
External link
Ando Kazunori
Degree
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数学 ( 筑波大学 )
Research Interests
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Schrödinger operator
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Neumann-Poincaré operator
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Spectral analysis
Research Areas
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Natural Science / Mathematical analysis / Spectral Analysis, Scattering and Inverse Scattering Theory
Professional Memberships
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The Mathematical Society of Japan
2013.3
Papers
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Spectral Structure of the Neumann--Poincaré Operator on Thin Ellipsoids and Flat Domains Reviewed
Kazunori Ando, Hyeonbae Kang, Sanghyuk Lee, Yoshihisa Miyanishi
SIAM Journal on Mathematical Analysis 54 ( 6 ) 6164 - 6185 2022.12
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Spectral structure of the Neumann–Poincaré operator on thin domains in two dimensions Reviewed
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi
Journal d'Analyse Mathématique 146 ( 2 ) 791 - 800 2022.8
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Spectral analysis of Neumann-Poincaré operator Reviewed
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi, Mihai Putinar
ROMANIAN JOURNAL OF PURE AND APPLIED MATHEMATICS LXVI ( No. 3-4 ) 545 - 575 2021.12
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Surface Localization of Plasmons in Three Dimensions and Convexity Reviewed
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi, Takashi Nakazawa
SIAM Journal on Applied Mathematics 81 ( 3 ) 1020 - 1033 2021.1
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Convergence rate for eigenvalues of the elastic Neumann–Poincaré operator in two dimensions Reviewed
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi
Journal de Mathématiques Pures et Appliquées 140 211 - 229 2020.8
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Spectral structure of the Neumann–Poincaré operator on tori Reviewed
Kazunori Ando, Yong-Gwan Ji, Hyeonbae Kang, Daisuke Kawagoe, Yoshihisa Miyanishi
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 36 ( 7 ) 1817 - 1828 2019.11
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Elastic Neumann-Poincare Operators on Three Dimensional Smooth Domains: Polynomial Compactness and Spectral Structure Reviewed
Ando Kazunori, Kang Hyeonbae, Miyanishi Yoshihisa
INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2019 ( 12 ) 3883 - 3900 2019.6
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THE FIRST HADAMARD VARIATION OF NEUMANN-POINCARE EIGENVALUES ON THE SPHERE Reviewed
Ando Kazunori, Kang Hyeonbae, Miyanishi Yoshihisa, Ushikoshi Erika
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 147 ( 3 ) 1073 - 1080 2019.3
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Correction to: Inverse Scattering for Schrodinger Operators on Perturbed Lattices Reviewed
Ando Kazunori, Isozaki Hiroshi, Morioka Hisashi
ANNALES HENRI POINCARE 20 ( 1 ) 337 - 338 2019.1
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Inverse Scattering for Schrodinger Operators on Perturbed Lattices Reviewed
Ando Kazunori, Isozaki Hiroshi, Morioka Hisashi
ANNALES HENRI POINCARE 19 ( 11 ) 3397 - 3455 2018.11
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KAZUNORI ANDO, YONG-GWAN JI, HYEONBAE KANG, KYOUNGSUN KIM, SANGHYEON YU
European Journal of Applied Mathematics 29 ( 2 ) 189 - 225 2018.4
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Spectral Structure of Elastic Neumann–Poincaré Operators Reviewed
Yoshihisa Miyanishi, Kazunori Ando, Hyeonbae Kang
Journal of Physics: Conference Series 965 012027 - 012027 2018.2
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Exponential decay estimates of the eigenvalues for the Neumann-Poincare operator on analytic boundaries in two dimensions Reviewed
Ando Kazunori, Kang Hyeonbae, Miyanishi Yoshihisa
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS 30 ( 4 ) 473 - 489 2018
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Kazunori Ando, Hyeonbae Kang, Kyoungsun Kim, Sanghyeon Yu
SIAM Journal on Mathematical Analysis 49 ( 5 ) 4232 - 4250 2017.1
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Spectral Properties of Schrödinger Operators on Perturbed Lattices Reviewed
Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka
ANNALES HENRI POINCARE 17 ( 8 ) 2103 - 2171 2016.8
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Analysis of plasmon resonance on smooth domains using spectral properties of the Neumann-Poincare operator Reviewed
Kazunori Ando, Hyeonbae Kang
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 435 ( 1 ) 162 - 178 2016.3
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Plasmon resonance with finite frequencies: a validation of the quasi-static approximation for diametrically small inclusions Reviewed
Kazunori Ando, Hyeonbae Kang, Hongyu Liu
SIAM JOURNAL ON APPLIED MATHEMATICS 76 ( 2 ) 731 - 749 2016
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Spectral properties of Schrodinger operators on perturbed lattices (Spectral and Scattering Theory and Related Topics)
Ando Kazunori, Isozaki Hiroshi, Morioka Hisashi
RIMS Kokyuroku 1975 1 - 14 2015.11
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Inverse Scattering Theory for Discrete Schrodinger Operators on the Hexagonal Lattice Reviewed
Kazunori Ando
ANNALES HENRI POINCARE 14 ( 2 ) 347 - 383 2013.3
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On the spectrum of Schrödinger operators with a finitely supported potential on the d-regular tree Reviewed
Kazunori Ando, Yusuke Higuchi
LINEAR ALGEBRA AND ITS APPLICATIONS 431 ( 10 ) 1940 - 1951 2009.10
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The spectrum of schrödinger operators with poisson type random potential Reviewed
Kazunori Ando, Akira Iwatsuka, Masahiro Kaminaga, Fumihiko Nakano
Annales Henri Poincare 7 ( 1 ) 145 - 160 2006.1
MISC
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Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka
2024.11
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Carleman factorization of layer potentials on smooth domains
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi, Mihai Putinar
2024.3
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Generic properties of the Neumann-Poincaré operator: simplicity of eigenvalues and cyclic vectors
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi, Mihai Putinar
2023.12
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安藤 和典
数理解析研究所講究録 ( 2023 ) 1 - 14 2017.4
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六角格子上のシュレーディンガー作用素の逆散乱問題について (スペクトル・散乱理論とその周辺)
安藤 和典
数理解析研究所講究録 1891 49 - 70 2014.4
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六角格子上のシュレディンガー作用素のスペクトルについて (スペクトル・散乱理論とその周辺)
安藤 和典
数理解析研究所講究録 1696 107 - 118 2010.7
Presentations
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Spectral Analysis of Neumann-Poincare Operator on Thin Domains and Related Topics Invited
安藤和典
応用解析研究会（早稲田大学） 2024.10
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Inverse problem on the metric graph for graphene Invited
Kazunori Ando
Seminar on Mathematical Analysis and Applications in Inha University 2024.9
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Inverse problem on the metric graph for graphene Invited
Kazunori Ando
7th Joint Conference of A3 Foresight Program on Computational and Applied Mathematics 2024.8
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Inverse Scattering on the Metric Graph for Graphene Invited
Kazunori Ando
RIMS Symposium (open) Spectral and Scattering Theory and Related Topics 2023 2023.11
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Spectral Properties of the Neumann-Poincaré Operator on Thin Domains Invited
Kazunori Ando
11th Applied Inverse Problems Conference (AIP 2023) 2023.9
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Spectral Structure of the Neumann-Poincaré Operator on thin domains Invited
Kazunori Ando
The 6th Young Scholar Symposium, East Asia IPIA 2023.3
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Spectral Structure of Neumann-Poincare operator on thin domains Invited
Kazunori Ando
International Conference on Partial Differential Equations Related to Material Science 2021.5
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Eigenvalues of the Neumann-Poincaré operator in two dimensions Invited
Kazunori Ando
2020.12
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Spectral properties of the Neumann-Poincaré operators and anomalous localized resonance I, II Invited
Kazunori Ando
Naha Symposium on Spectral and Scattering Theory 2020.1
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Inverse Scattering Theory for Discrete Schrödinger Operators Invited
Kazunori Ando
International Conference on Inverse Problems and Related Topics 2012 2012.10
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Spectral analysis of the elastic NP operator in two dimensions and cloaking by anomalous localized resonance Invited International conference
ANDO Kazunori
International Workshop The Neumann-Poincaré Operator, Plasmonics, and Field Concentrations 2018.2
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Spectral properties of the Neumann-Poincaré operator and anomalous localized resonance
ANDO Kazunori
2016 Annual Meeting of Japan Mathematical Society 2016.3
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Spectral properties of the Neumann-Poincaré operator and anomalous localized resonance Invited International conference
ANDO Kazunori
Recent development in inverse problems for partial differential equations and its applications 2016.1
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Anomalous localized resonance on smooth domains using spectral properties of the Neumann-Poincaré operators Invited International conference
ANDO Kazunori
Spectral and Scattering Theory and Related Topics 2016.1
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六角格子上のシュレディンガー作用素のスペクトルについて (スペクトル・散乱理論とその周辺)
安藤 和典
数理解析研究所講究録 2010.7
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有限個のポテンシャルを伴う正則木上のシュレディンガー作用素のスペクトル
安藤 和典
日本数学会2008年度秋季総合分科会 2008.9
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Eigenvalues of the Neumann-Poincaré operators in two dimensions Invited International conference
ANDO Kazunori
The 9th Congress of Romanian Mathematicians 2019.7
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The eigenvalues of the elastic Neumann-Poincaré operator in two dimensions Invited International conference
ANDO Kazunori
Mini-workshop: Neumann-Poincaré operator and related topics 2019.3
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Inverse scattering for discrete Schrödinger operators on periodic graphs Invited International conference
ANDO Kazunori
Inverse Problems for Partial Differential Equations In honor of Professor Masaru Ikehata on the occasion of his 60th Birthday 2018.8
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六角格子上の離散シュレーディンガー作用素の逆散乱問題について Invited
安藤 和典
日本数学会年会（特別講演） 2013.3
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Discrete inverse problem for magnetic Schrödinger networks Invited International conference
ANDO Kazunori
Workshop for inverse problems on graphs and spectral analysis and related topics 2018.6
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Spectral analysis of the elastic Neumann-Poincaré operator and cloaking by anomalous localized resonance Invited International conference
ANDO Kazunori
The 3rd East Asia Section of IPIA Young Scholars Symposium 2018.3
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六角格子上のシュレーディンガー作用素の逆散乱問題について (スペクトル・散乱理論とその周辺)
安藤 和典
数理解析研究所講究録 2014.4
Research Projects
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ノイマン-ポアンカレ作用素のスペクトル解析とプラズモン共鳴現象への応用
2020.4 - 2024.3
日本学術振興会 科学研究費助成事業 基盤研究(C) 基盤研究(C)
安藤 和典, 宮西 吉久
Grant amount：\4160000 （ Direct Cost: \3200000 、 Indirect Cost：\960000 ）
主にオンラインのビデオ会議やメールでのやり取りにより、研究課題の推進を計った。また、オンラインの国際研究集会で研究成果を発表したり、国内外の研究者を招待して関連研究についてオンラインで発表する研究集会を企画し、研究成果の周知に努めた。
具体的には、研究分担者と共同研究者との共同研究に基づく研究結果について、2021年5月にオンラインで開催された国際研究集会「International Conference on Partial Differential Equations Related to Material Science」にて発表した。発表内容は、2次元および3次元において領域が"細く"なる領域におけるノイマン-ポアンカレ作用素のスペクトルの分布についてである。
さらに、2021年12月のRIMS研究集会「スペクトル・散乱理論とその周辺」の研究代表者として、ノイマン-ポアンカレ作用素のスペクトル解析およびその周辺の研究課題について海外の共同研究者を招待してオンラインで発表を依頼した。ノイマン-ポアンカレ作用素の固有値分布や非可換スペクトル解析などについて最近の研究成果について共同研究者に発表をしてもらった。
また、宮西吉久氏と2022年1月にオンラインでノイマン-ポアンカレ作用素のスペクトル解析に関連する国際研究集会および意見交換をオンラインで開催した。意見交換では、3次元の領域におけるノイマン-ポアンカレ作用素に負の固有値が現れる条件などについて、活発な議論が行われた。 -
Spectral analysis of Neumann-Poincare operators and its applications
2017.4 - 2020.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
ANDO Kazunori
Grant amount：\4160000 （ Direct Cost: \3200000 、 Indirect Cost：\960000 ）
We have studied the relationship between the eigenvalues of Neumann-Poincare operators which are boundary integral operators, and the smoothness of the boundary, mainly in two-dimansions. The decay rate of the eigenvalues of Neumann-Poincare operator has a close relationship with anomalous localized resonance. We have studied the Neumann-Poincare operator associated to both the Laplace operator and the Lame operator, and we obtained the followings: if the boundary is an analytic curve, then the eigenvalues of Neumann-Poincare operator accumulate exponentially.
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Spectral analysis of relativistic Hamiltonians with a magnetic field
2015.4 - 2018.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Ito Hiroshi, YAMADA Osanobu, TAMURA Hideo, IWATSUKA Akira, NOMURA Yuji, MINE Takuya, ANDO Kazunori
Grant amount：\4550000 （ Direct Cost: \3500000 、 Indirect Cost：\1050000 ）
The purpose of this work is to study the spectral properties and resonances (complex eigenvalues) of Dirac operators and relativistic Pauli operators, which are important Hamiltonians in the relativistic quantum mechanics, with a bounded magnetic potential and an unbounded electric potential. We also assume that these potentials are dilation analytic. We first study their spectral properties by using the complex scaled Hamiltonians, and then obtain some resonance-free-region.Moreover, we show that each resonance converges to a resonance (or eigenvalue) of the corresponding Pauli operator as the velocity of light goes to infinity.
Teaching Experience (On-campus)
Teaching Experience
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応用数学I
2024.4 Institution：愛媛大学工学部情報工学科
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応用数学基礎
2023.10 Institution：愛媛大学大学院理工学研究科
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微分方程式と数理モデル
2021.6 Institution：放送大学
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応用数学特論I
2021.4 Institution：愛媛大学大学院理工学研究科（工学系）
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微積分I
2016.4 Institution：愛媛大学工学部情報工学科
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応用数学特論II
2016.4 - 2021.3 Institution：愛媛大学大学院理工学研究科（工学系）
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応用数学II
2016.4 - 2020.3 Institution：愛媛大学工学部情報工学科
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応用解析学
2015.11 Institution：愛媛大学工学部情報工学科
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数学演習２
2013.10 - 2014.3 Institution：電気通信大学
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幾何学基礎
2012.10 - 2014.3 Institution：宇都宮大学教育学部
Academic Activities
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夏の作用素論シンポジウム
Role(s)： Planning, management, etc., Panel moderator, session chair, etc.
安藤和典、宮西吉久、森岡悠、樋口健太 2024.9
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松山解析セミナー
Role(s)： Planning, management, etc.
安藤 和典、川本 昌紀、観音 幸雄、金城 絵利那、寺本 有花、樋口 健太、森岡 悠 （すべて愛媛大学） 2024.1
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Additional Conference: Layer Potential Theory, Plasmonics and Related Topics
Role(s)： Planning, management, etc.
2023.8
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2023 ICIAM Minisymposium: Neumann-Poincaré Operator, Layer Potential Theory, Plasmonics and Related Topics
Role(s)： Planning, management, etc.
宮西吉久、安藤和典 2023.8
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愛媛大学スペクトル・散乱理論セミナー
Role(s)： Planning, management, etc., Panel moderator, session chair, etc.
野村祐司、安藤和典、森岡悠 2023.3
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Mini-Workshop on Mathematical Analysis and Related Topics
Role(s)： Planning, management, etc., Panel moderator, session chair, etc.
Kazunori Ando, Yoshihisa Miyanishi 2022.1
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RIMS workshop Spectral and Scattering Theory and Related Topics
Role(s)： Planning, management, etc.
Kazunori Ando, Hisashi Morioka 2021.12
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Analysis Seminar in Matsuyama
Role(s)： Planning, management, etc., Panel moderator, session chair, etc.
Kazunori Ando, Hiroshi Ito, Kawamoto Masaki, Yukio Kanon, Yuki Naito, Hisashi Morioka 2020.1 - 2020.2
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Seminar on Spectral and Scattering Theory in Ehime University
Role(s)： Planning, management, etc., Panel moderator, session chair, etc.
Hiroshi Ito, Kazunori Ando, Hisashi Morioka 2019.12
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Analysis Seminar in Matsuyama
Role(s)： Planning, management, etc., Panel moderator, session chair, etc.
Kazunori Ando, Norisuke Ioku, Hiroshi Ito, Yukio Kanon, Yuki Naito, Yuta Wakasugi 2019.2
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Kyoto-Imadegawa symposium on Spectral and Scattering Theory
Role(s)： Planning, management, etc.
Kazunori Ando, Morioka Hisashi 2019.1
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Analysis Seminar in Matsuyama
Role(s)： Planning, management, etc., Panel moderator, session chair, etc.
Kazunori Ando, Norisuke Ioku, Hiroshi Ito, Yukio Kanon, Yuki Naito, Yuta Wakasugi 2018.2
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Seminar on Spectral and Scattering Theory in Ehime University
Role(s)： Planning, management, etc., Panel moderator, session chair, etc.
Hiroshi Ito, Kazunori Ando 2017.11
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Analysis Seminar in Matsuyama
Role(s)： Planning, management, etc., Panel moderator, session chair, etc.
Kazunori Ando, Norisuke Ioku, Hiroshi Ito, Yukio Kanon, Yuki Naito, Yuta Wakasugi 2017.2
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Seminar on Spectral and Scattering Theory in Ehime University
Role(s)： Planning, management, etc., Panel moderator, session chair, etc.
Hiroshi Ito, Kazunori Ando 2016.12
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Analysis Seminar in Matsuyama
Role(s)： Planning, management, etc.
Kazunori Ando, Norisuke Ioku, Hiroshi Ito, Yukio Kanon, Yuki Naito, Shuji Yoshikawa 2016.2