Ishikawa, Isao(Graduate School of Science) | Activity Database on Education and Research, Kyoto University

Ishikawa, Isao

Graduate School of Science Program-Specific Associate Professor

Last Updated :2026/09/04

Basic Information

Email Address

Email Address
ishikawa.isao.5skyoto-u.ac.jp

Academic Degree

24 Mar. 2014
京都大学修士（理学）

23 Mar. 2017
京都大学博士（理学）

Academic Resume (Undergraduate School/Majors)

東京工業大学, 理学部数学科, 卒業

Research History

From Apr. 2025, To Present
Kyoto University, Center for Science Adventure and Collaborative Research Advancement (SACRA), Faculty of Science, Project Specific Associate Professor

From Apr. 2022, To Mar. 2025
Ehime University, Center for Data Science, Associate Professor

From Apr. 2020, To Mar. 2022
Ehime University, Center for Data Science, 特定助教

From Apr. 2017, To Mar. 2020
RIKEN, Center for Advanced Interigence Project, Generic Technology Research Group, Mathematical Science Team, Postdoctoral Researcher

ID,URL

ORCID ID
0000-0002-3100-6187
J-Global ID
202001010986176286
Researcher number
80804236

researchmap URL

https://researchmap.jp/1sa014kawa

Last Updated :2026/09/04

Research

Research Interests

Deep Learning

Reproducing kernel Hilbert space

number theory

Koopman operator

composition operator

generalized spectrum

machine learning

dynamical system

Research Areas

Natural sciences, Algebra, number theory

Natural sciences, Applied mathematics and statistics, machine learning

Natural sciences, Basic analysis, dynamical system

Natural sciences, Applied mathematics and statistics, Koopman operator

Natural sciences, Basic analysis, composition operator

Papers

Boundedness of Composition Operators in Orlicz–Morrey Spaces
Masahiro Ikeda; Isao Ishikawa; Ryota Kawasumi
Mathematische Nachrichten, 26 Aug. 2026, Peer-reviewed

Resolvent-Based Singular-Value Diagnostics for Data-Driven Koopman Finite Sections
Yuanchao Xu; Itsushi Sakata; Isao Ishikawa
2026

Koopman Spectral Analysis for Generative Modeling: An Operator-Theoretic Perspective
Yuanchao Xu; Fengyi Li; Masahiro Fujisawa; Xiaoyuan Cheng; Youssef Marzouk; Isao Ishikawa
2026

Deep Ridgelet Transform and Unified Universality Theorem for Deep and Shallow Joint-Group-Equivariant Machines.
Sho Sonoda; Yuka Hashimoto; Isao Ishikawa; Masahiro Ikeda
ICML, 2025

Dynamic Structure Estimation from Bandit Feedback using Nonvanishing Exponential Sums.
Motoya Ohnishi; Isao Ishikawa; Yuko Kuroki; Masahiro Ikeda
Transactions on Machine Learning Research, 2024

Reproducing kernel Hilbert C*-module and kernel mean embeddings.
Yuka Hashimoto; Isao Ishikawa; Masahiro Ikeda; Fuyuta Komura; Takeshi Katsura; Yoshinobu Kawahara
Journal of Machine Learning Research, 2021

Koopman operators with intrinsic observables in rigged reproducing kernel Hilbert spaces
Isao Ishikawa; Yuka Hashimoto; Masahiro Ikeda; Yoshinobu Kawahara
Nonlinearity, 27 Nov. 2025, Peer-reviewed, Lead author
Access this paper :

A data-driven framework for Koopman semigroup estimation in stochastic dynamical systems
Yuanchao Xu; Kaidi Shao; Isao Ishikawa; Yuka Hashimoto; Nikos Logothetis; Zhongwei Shen
Chaos: An Interdisciplinary Journal of Nonlinear Science, 01 Oct. 2025, Peer-reviewed

A unified Fourier slice method to derive ridgelet transform for a variety of depth-2 neural networks
Sho Sonoda; Isao Ishikawa; Masahiro Ikeda
Journal of Statistical Planning and Inference, Dec. 2024, Peer-reviewed

Dynamic Structure Estimation from Bandit Feedback using Nonvanishing Exponential Sums
Motoya Ohnishi; Isao Ishikawa; Yuko Kuroki; Masahiro Ikeda
Transactions on Machine Learning Research, 05 Aug. 2024, Peer-reviewed

Koopman Spectrum Nonlinear Regulators and Efficient Online Learning
Motoya Ohnishi; Isao Ishikawa; Kendall Lowrey; Masahiro Ikeda; Sham Kakade; Yoshinobu Kawahara
Transactions on Machine Learning Research, 23 Jun. 2024, Peer-reviewed

Global Universality of the Two-Layer Neural Network with the k-Rectified Linear Unit
Naoya Hatano; Masahiro Ikeda; Isao Ishikawa; Yoshihiro Sawano
Journal of Function Spaces, 18 Jan. 2024, Peer-reviewed

Koopman-based generalization bound: New aspect for full-rank weights
Yuka Hashimoto; Sho Sonoda; Isao Ishikawa; Atsushi Nitanda; Taiji Suzuki
The Twelfth International Conference on Learning Representations, Jan. 2024, Peer-reviewed

Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems
Hayato Chiba; Masahiro Ikeda; Isao Ishikawa
SIAM Journal on Applied Dynamical Systems, 12 Oct. 2023, Peer-reviewed

Bounded composition operators on functional quasi-Banach spaces and stability of dynamical systems
Isao Ishikawa
Advances in Mathematics, 01 Jul. 2023, Peer-reviewed, Lead author

Heaviside function as an activation function
Naoya Hatano; Masahiro Ikeda; Isao Ishikawa; Yoshihiro Sawano
Journal of Applied Analysis, 01 Jun. 2023, Peer-reviewed

Boundedness of composition operators on higher order Besov spaces in one dimension
Masahiro Ikeda; Isao Ishikawa; Koichi Taniguchi
Mathematische Annalen, 24 May 2023, Peer-reviewed, Lead author

Universal Approximation Property of Invertible Neural Networks.
Isao Ishikawa; Takeshi Teshima; Koichi Tojo; Kenta Oono; Masahiro Ikeda; Masashi Sugiyama
Journal of Machine Learning Research, 2023, Peer-reviewed, Lead author

Koopman and Perron–Frobenius operators on reproducing kernel Banach spaces
Masahiro Ikeda; Isao Ishikawa; Corbinian Schlosser
Chaos: An Interdisciplinary Journal of Nonlinear Science, Dec. 2022, Peer-reviewed

Boundedness of composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions
Masahiro Ikeda; Isao Ishikawa; Yoshihiro Sawano
Journal of Mathematical Analysis and Applications, 01 Jul. 2022, Peer-reviewed, Lead author

Universality of neural networks with a sigmoidal activation or discriminatory function on Banach lattices over the real line
Naoya Hatano; Masahiro Ikeda; Isao Ishikawa; Yoshihiro Sawano
Journal of Mathematical Science, 2022, Peer-reviewed

Fully-Connected Network on Noncompact Symmetric Space and Ridgelet Transform based on Helgason-Fourier Analysis.
Sho Sonoda; Isao Ishikawa; Masahiro Ikeda
ICML, 2022, Peer-reviewed

Reproducing kernel Hilbert C*-module and kernel mean embeddings
Yuka Hashimoto; Isao Ishikawa; Masahiro Ikeda; Fuyuta Komura; Takeshi Katsura; Yoshinobu Kawahara
Journal of Machine Learning Research, Nov. 2021, Peer-reviewed

Boundedness of composition operators on Morrey spaces and weak Morrey spaces
Naoya Hatano; Masahiro Ikeda; Isao Ishikawa; Yoshihiro Sawano
Journal of Inequalities and Applications, 09 Apr. 2021, Peer-reviewed

A Global Universality of Two-Layer Neural Networks with ReLU Activations
Naoya Hatano; Masahiro Ikeda; Isao Ishikawa; Yoshihiro Sawano
Journal of Function Spaces, 2021, Peer-reviewed

Universal Approximation Property of Neural Ordinary Differential Equations
Takeshi Teshima; Koichi Tojo; Masahiro Ikeda; Isao Ishikawa; Kenta Oono
Workshop on Differential Geometry meets Deep Learning, 04 Dec. 2020, Peer-reviewed

Ridge Regression with Over-Parametrized Two-Layer Networks Converge to Ridgelet Spectrum
Sho Sonoda; Isao Ishikawa; Masahiro Ikeda
The 24th International Conference on Artificial Intelligence and Statistics(AISTATS), 07 Jul. 2020, Peer-reviewed

Coupling-based Invertible Neural Networks Are Universal Diffeomorphism Approximators
Takeshi Teshima; Isao Ishikawa; Koichi Tojo; Kenta Oono; Masahiro Ikeda; Masashi Sugiyama
Advances in Neural Information Processing Systems, 20 Jun. 2020, Peer-reviewed, Lead author

Krylov Subspace Method for Nonlinear Dynamical Systems with Random Noise
Yuka Hashimoto; Isao Ishikawa; Masahiro Ikeda; Yoichi Matsuo; Yoshinobu Kawahara
Journal of Machine Learning Research, 2020, Peer-reviewed

Gamma factors for the Asai representation of GL₂
Chen, S.-Y.; Cheng, Y.; Ishikawa, I.
Journal of Number Theory, 2020, Peer-reviewed, Lead author

Explicit calculation of local integrals for twisted triple product L-functions
Ishikawa, I.
Kyoto Journal of Mathematics, Sep. 2019, Peer-reviewed, Lead author
Access this paper :

Metric on Nonlinear Dynamical Systems with Perron-Frobenius Operators
Isao Ishikawa; Keisuke Fujii; Masahiro Ikeda; Yuka Hashimoto; Yoshinobu Kawahara
Advances in Neural Information Processing Systems, 2018, Peer-reviewed, Lead author

Integrals on $p$-adic upper half planes and Hida families over totally real fields
Isao Ishikawa
Osaka Journal of Mathematics, Oct. 2016, Peer-reviewed, Lead author

Misc.

核ノルム最小化と行列補完
石川勲
Jul. 2026

On the construction of twisted triple product p-adic L-functions for unbalanced weights
Isao Ishikawa
May 2026, Lead author

Finite-dimensional approximations of push-forwards on locally analytic functionals
Isao Ishikawa
16 Apr. 2024

Ghosts in Neural Networks: Existence, Structure and Role of Infinite-Dimensional Null Space
Sho Sonoda; Isao Ishikawa; Masahiro Ikeda
09 Jun. 2021

Kernel Mean Embeddings of Von Neumann-Algebra-Valued Measures
Yuka Hashimoto; Isao Ishikawa; Masahiro Ikeda; Fuyuta Komura; Yoshinobu Kawahara
29 Jul. 2020

Analysis via Orthonormal Systems in Reproducing Kernel Hilbert $C^*$-Modules and Applications
Yuka Hashimoto; Isao Ishikawa; Masahiro Ikeda; Fuyuta Komura; Takeshi Katsura; Yoshinobu Kawahara
02 Mar. 2020

Gradient Descent Converges to Ridgelet Spectrum.
Sho Sonoda; Isao Ishikawa; Masahiro Ikeda
CoRR, 2020

Metric on random dynamical systems with vector-valued reproducing kernel Hilbert spaces
Isao Ishikawa; Akinori Tanaka; Masahiro Ikeda; Yoshinobu Kawahara
17 Jun. 2019

GL2上のASAI表現に付随するEPSILON因子について
石川勲
数理解析研究所講究録, Jan. 2019

The global optimum of shallow neural network is attained by ridgelet transform
Sho Sonoda; Isao Ishikawa; Masahiro Ikeda; Kei Hagihara; Yoshihiro Sawano; Takuo Matsubara; Noboru Murata
19 May 2018

Presentations

Dynamical rigidity of maps inducing bounded composition operators
Isao Ishikawa
MSJ Autumn Meeting 2026, 03 Sep. 2026, Invited

Composition operators on functional quasi-Banach spaces and their applications in data-driven analysis of dynamical systems
Isao Ishikawa
Operator theory seminar, 30 Apr. 2026, Sahibzada Waleed Noor

Finite-dimensional approximation of push-forwards via jets and data
Isao Ishikawa
CAM Colloquium, 17 Apr. 2026, Invited

Finite-dimensional approximation of push-forward via jets
Isao Ishikawa
Geometric analysis seminar, 07 Apr. 2026, Micah Warren, Invited

Finite dimensional-approximation of push-forwards on locally analytic functionals
Isao Ishikawa
Academic Forum of the Institute of Science and Technology for Brain-inspired Intelligence, 05 Jan. 2026, Ding Weiyang, Invited

解析汎函数上の押し出し写像の有限次元近似と力学系のデータ駆動解析への応用について
石川勲
第6回富山応用数学セミナー, 21 Nov. 2025, Invited

p進数を用いた単語埋め込みについて
三原朋樹; 石川勲; 横井祥
第28回情報論的学習理論ワークショップ（IBIS2025）, 13 Nov. 2025

On finite-dimensional approximations of push-forwards on analytic functionals and applications to data-driven analysis of dynamical systems
Isao Ishikawa
Geometry, Topology and Numerical Analysis 2025, 08 Nov. 2025, Invited

Finite dimensional approximations of push-forwards on analytic functionals and applications to data-driven analysis of dynamical systems
Isao Ishikawa
RIMS Workshop on Number Theory, Geometry, Randomness and their development, 29 Oct. 2025, Invited

Finite dimensional approximations of push-forwards on analytic functionals
Isao Ishikawa
NAXYS Seminar, 21 Oct. 2025, Invited

Finite dimensional approximations of push-forwards on analytic functionals
Isao Ishikawa
Japan-Italy Workshop on Learning Dynamical Systems, 09 Oct. 2025

Data-driven estimation of the Koopman operator in reproducing kernel rigged Hilbert spaces and its applications
Isao Ishikawa
2025 RIMS symposium: 13th Mathematical aspects of quantum fields and related topics, 26 Jun. 2025, Invited

JetEDMD -- Theory and Applications --
Isao Ishikawa
RICOS Seminar, 26 May 2025, Invited

局所解析汎函数上の押し出し写像の有限次元近似とその応用
石川勲
関数空間論に基づく深層学習の理論と応用, 28 Mar. 2025

局所解析汎函数上の押し出し写像のデータ駆動的な有限次元近似
石川勲
Koopman Operators Meets Data, 11 Mar. 2025, Invited

On finite-dimensional approximations of push-forwards on locally analytic functionals
Isao Ishikawa
Workshop on Dynamical Systems and Machine Learning, 18 Feb. 2025

解析的な写像から定まる局所解析汎函数上の押し出しの有限次元近似について
石川勲
第4回数理解析若手交流会, 21 Dec. 2024, Invited

解析的な写像から定まる局所解析汎函数上の押し出しの有限次元近似と力学系のデータ駆動解析への応用について
石川勲
京都大学応用数学セミナー, 19 Nov. 2024, Invited

局所解析汎函数上の押し出し写像による力学系のデータ駆動近似について
石川勲
数理・情報系研究集会@愛媛大学, 06 Nov. 2024

局所解析汎函数上の押し出しの有限次元近似について
石川勲
第27回情報論的学習理論ワークショップ, 05 Nov. 2024

同時群同変モデルの表現論的な構成的普遍近似定理
園田翔; 橋本悠香; 石川勲; 池田正弘
第27回情報論的学習理論ワークショップ, 05 Nov. 2024

局所解析汎函数上の押し出し写像による力学系のデータ駆動近似について
石川勲
数理・情報研究交流会@沖縄, 31 Oct. 2024

局所解析汎函数上の押し出しの有限次元近似について
石川勲
第112回埼玉大学解析ゼミ, 22 Oct. 2024, Invited

同時群同変モデルの統一的かつ構成的な普遍近似定理
園田翔; 橋本悠香; 石川勲; 池田正弘
日本応用数理学会2024年度年会, 16 Sep. 2024

局所解析汎函数上の押し出しの有限次元近似について
石川勲
日本応用数理学会2024年度年会, 15 Sep. 2024

Skolem–Mahler–Lech の定理の紹介〜p進解析の入門を添えて〜
石川勲
オートマトン理論若手の会, 30 Aug. 2024, Invited

Koopman operators with intrinsic observables in rigged reproducing kernel Hilbert spaces
Isao Ishikawa; Yuka Hashimoto; Masahiro Ikeda; Yoshinobu Kawahara
2024 International Workshop on Function Theory, Operator Theory and Applications, 21 Jun. 2024

局所解析的汎函数上の押し出しの有限次元近似について
石川勲
データ解析の数理ワークショップ：力学系・トポロジー・機械学習の協奏, 07 Jun. 2024

力学系から定まる局所解析汎函数上の押し出しの有限次元近似について
石川勲
RIMS 共同研究（公開型）「力学系の理論と応用」, 03 Jun. 2024

On finite-dimensional approximations for push-forwards of locally analytic functionals and truncations of least-squares polynomials
Isao Ishikawa
Second RIKEN AIP - IIT Joint Workshop on Machine Learning and AI, 20 May 2024

Koopman-based generalization bound: New aspect for full-rank weights
Yuka Hashimoto; Sho Sonota; Isao Ishiakwa; Atsushi Nitanda; Taiji Suzuki
The Twelfth International Conference on Learning Representations, 10 May 2024

データ解析を見据えたKoopman作用素の包括的な理論研究
石川勲
ACT-X 数理情報のフロンティア第2回成果報告会, 26 Apr. 2024

Composition operators on reproducing kernel Hilbert spaces and applications to data analysis
Isao Ishikawa
2024 Taiwan Mathematical Society Annual Meeting, 22 Jan. 2024, Invited

重み付き合成作用素の有界性と力学系の安定性について
石川勲
One day workshop on harmonic analysis and PDE, 23 Dec. 2023

JetDMD: Rigged再生核Hilbert空間におけるデータ駆動型Koopman固有展開
石川勲
数理・情報系研究集会, 16 Nov. 2023

可逆ニューラルネットワークの表現力について
石川勲
ipi - ダイキンシンポジウム, 24 Oct. 2023, Invited

JetDMD: Rigged再生核Hilbert空間におけるデータ駆動型Koopman固有展開
石川勲
数理情報研究交流会, 11 Oct. 2023

Banditフィードバックによる力学系の構造推定
Isao Ishikawa
情報論的学習理論と機械学習研究会, 03 Mar. 2023

Bounded weighted composition operators on functional quasi-Banach spaces and stability of dynamical systems
Isao Ishikawa
Research on real, complex and functional analysis from the perspective of function spaces, 28 Oct. 2022

Bounded weighted Koopman operators on functional quasi-Banach spaces and stability of dynamical systems
Isao Ishikawa
Dartmouth Functional Analysis Seminar, 22 Sep. 2022, Invited

Bounded weighted composition operators on functional quasi-Banach spaces and stability of dynamical systems
Isao Ishikawa
Development and Applications of Dynamical Systems, 07 Jun. 2022

Bounded weighted composition operators on functional quasi-Banach spaces and stability of dynamical systems
Isao Ishikawa
数理・情報系研究集会, 07 Jun. 2022

「可逆ニューラルネットワークの表現力について」
石川勲
数理情報科学セミナー, 17 Nov. 2021, Invited

可逆ニューラルネットワークの表現力について
Isao Ishikawa
数理情報科学セミナー, 17 Nov. 2021

Bounded weighted composition operators on functional quasi-Banach spaces and stability of dynamical systems
Isao Ishikawa
実解析シンポジウム2021, 30 Oct. 2021

Bounded composition operators on functional quasi-Banach spaces and stability of dynamical systems
Isao Ishikawa
13 ISAAC Congress, 04 Aug. 2021

球対称な解析的正定値関数に付随するRKHS上のKoopman 作用素の有界性について
Isao Ishikawa
若手数学者交流会, 14 Mar. 2021

On the Universality of Invertible Neural Networks
Isao Ishikawa
Workshop on Functional Inference and Machine Intelligence, 03 Mar. 2021, Invited

Metrics on nonlinear dynamical systems via operator-valued reproducing kernel Hilbert spaces
Isao Ishikawa
2019 WINTER FESTA Episode 5, 25 Dec. 2019

On the boundedness of composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions
Isao Ishikawa
Canada Mathematical Society Winter Meeting, 08 Dec. 2019, Invited

Metrics for dynamical systems via Perron-Frobenius operators on vector-valued RKHSs
Isao Ishikawa
Joint Workshop of BBDC, BZML and RIKEN AIP, 10 Sep. 2019, Invited

On the boundedness of composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions
Isao Ishikawa
Colloquium & Conference, 21 Aug. 2019, Invited

「解析的な正定値関数から定まる再生核Hilbert空間における合成作用素の有界性について」
石川勲
京都力学系セミナー, 05 Aug. 2019, Invited

解析的な正定値関数から定まる再生核Hilbert空間における合成作用素の有界性について
Isao Ishikawa
京都力学系セミナー, 05 Aug. 2019

On the boundedness of composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions
Isao Ishikawa
12 ISAAC Congress, 29 Jul. 2019

「非線形力学系から生成される時系列データの作用素論的側面からの研究」
石川勲
愛媛大学代数セミナー, 25 Jun. 2019, Invited

非線形力学系から生成される時系列データの作用素論的側面からの研究
Isao Ishikawa
愛媛大学代数セミナー, 25 Jun. 2019

On the boundedness of composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions
Isao Ishikawa
15 Harmonic analysis seminar, 20 Apr. 2019

Metric on nonlinear dynamical systems with Perron-Frobenius operators
Isao Ishikawa
Symposium on Machine Learning and Dynamical Systems, 11 Feb. 2019, Invited

On comparison of Gamma factors of Asai representations of {\mathrm{GL } }_2
Isao Ishikawa
Number Theory Seminar at Waseda University, 11 Jan. 2019

An invariant for the comparison of composition operators for reproducing kernel Hilbert spaces
Isao Ishikawa
Boston University/Keio University workshop 2018 Dynamical systems, 27 Jun. 2018

An invariant for the comparison of composition operators for reproducing kernel Hilbert spaces
Isao Ishikawa
13 SIAM East Asian Section Conference, 24 Jun. 2018

An invariant for the comparison of composition operators for reproducing kernel Hilbert spaces
Isao Ishikawa
Dynamical Systems Interaction of Theory and Application, 05 Jun. 2018

On explicit interpolation formulas of twisted triple product p-adic L-functions
Isao Ishikawa
Analytic and Arithmetic Theory of Automorphic Forms, 17 Feb. 2018

On explicit interpolation formulas of twisted triple product p-adic L-functions
Isao Ishikawa
Analytic and Arithmetic Theory of Automorphic Forms, 17 Jan. 2018

On the construction of twisted triple product p-adic L-functions
Isao Ishikawa
Algebra Seminar, 30 Oct. 2017

Explicit computations of local period integrals for constructions of twisted triple product $p$-adic $L$-functions
Isao Ishikawa
4 Kyoto conference on automorphic forms, 18 Jun. 2017

On the construction of twisted triple product p-adic L-functions
Isao Ishikawa
Arithmetic and Modular Form Seminar, 09 Jun. 2017

On the construction of twisted triple product p-adic L-functions
Isao Ishikawa
Algebra Seminar, 08 Mar. 2017

On the construction of twisted triple product p-adic L-functions
Isao Ishikawa
The 22 Young Mathematicians Conference on Algebra, 02 Mar. 2017

On the construction of twisted triple product p-adic L-functions
Isao Ishikawa
The 10 Young Mathematicians Conference on Zeta Functions, 20 Feb. 2017

Integrals on p-adic upper half planes and Hida families over totally real fields
Isao Ishikawa
The 13 Sendai-Hiroshima Number Theory Conference, 17 Jul. 2014

Integrals on p-adic upper half planes and Hida families over totally real fields
Isao Ishikawa
Mini-Workshop on Iwasawa theory, 04 Apr. 2014

Integrals on p-adic upper half planes and Hida families over totally real fields
Isao Ishikawa
The 7th Young Mathematicians Conference on Zeta Functions, 14 Feb. 2014

Industrial Property Rights

特願2020-035051, 関係性抽出装置及び関係性抽出方法

特願2019-154065, 異常検知装置、異常検知方法、及びプログラム
橋本悠香; 石川勲; 池田正弘; 河原吉伸; 松尾洋一

External funds: Kakenhi

Deepening the analysis of deep learning through functional space theory
Grant-in-Aid for Challenging Research (Pioneering)
Medium-sized Section 60:Information science, computer engineering, and related fields
Ehime University
石川勲
From 28 Jun. 2024, To 31 Mar. 2028, Granted
深層学習;力学系;Koopman作用素;Besov空間;再生核Hilbert空間
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24K21316/

Bidirectional study of composition operators and dynamical systems
Grant-in-Aid for Early-Career Scientists
Basic Section 12020:Mathematical analysis-related
Ehime University
石川勲
From 01 Apr. 2024, To 31 Mar. 2028, Granted
合成作用素;再生核Hilbert空間;関数空間;力学系
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24K16950/

正定値性を中心とした函数解析と複素解析の総合的研究
Grant-in-Aid for Scientific Research (C)
Basic Section 12010:Basic analysis-related
防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工学群)
瀬戸道生
From 01 Apr. 2024, To 31 Mar. 2027, Granted
函数解析;正定値性;補間問題;複素解析
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24K06771/

Study of Selmer groups of twisted triple products via p-adic geometry
Grant-in-Aid for Early-Career Scientists
Basic Section 11010:Algebra-related
Ehime University;Institute of Physical and Chemical Research
Isao Ishikawa
From 01 Apr. 2018, To 31 Mar. 2024, Project Closed
捻れ三重積p進L関数;保形表現;p進L関数;捻れ3重積;L関数の特殊値;保型表現;岩澤理論;数論幾何学;保型形式
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K13401/

Last Updated :2026/09/04

Education

Teaching subject(s)

From 01 Apr. 2026, To 31 Mar. 2027
Advanced Analysis I
4104, Fall, Faculty of Science, 2

From 01 Apr. 2026, To 31 Mar. 2027
Topics in Analysis A
0174, Fall, Graduate School of Science, 2

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