キーワード検索
| アサイ | ノブヒロ | |
| 淺井 | 暢宏 | (Asai Nobuhiro) |
プロフィール
研究活動
教育活動
管理運営
社会活動
高校生のための研究紹介
所属
自然科学系 数学教育講座
職名
教授
取得学位
博士（理学）
所属学会
日本数学会
応用数理学会
アメリカ数学会
免許・資格
1994年3月, 高等学校一種免許状（数学）
1994年3月, 中学校一種免許状（数学）
研究分野
無限次元解析学
非可換（量子）確率論
直交多項式論
キーワード: 無限次元解析, 非可換（量子）確率論, 変形・補間理論, 直交多項式論, 変形フォック空間, 分割統計
学術論文
(with H. Yoshida):
Two parameterized deformed Poisson type operator and the combinatorial moment formula,
Journal of Mathematical Analysis and Applications, Elsevier, Vol. 543, No. 1, 2025 
(with H. Yoshida):
Combinatorial aspects of weighted free Poisson random variables,
Infinite Dimensional Analysis, Quantum Probability and Related Topics., World Scientific, Vol. 27, No. 3, 2024 Note on weighted q-Fock spaces and q-orthogonal polynomials,
RIMS Kokyuroku, RIMS, Kyoto Univ, Vol. 2201, pp. 12-16, 2021 On (alpha,q)-Poisson operators and their distributions,
RIMS Kokyuroku, RIMS, Kyoto Univ, Vol. 2187, pp. 34-41, 2021 (with H. Yoshida):
Deformed Gaussian operators on weighted q-Fock spaces,
Journal of stochastic analysis, Degital Commons, Vol. 1, No. 4, pp. 6, 2020 (with H. Yoshida):
Poisson type operators on the Fock space of type B,
J. Math. Phys, AIP, Vol. 60, No. 1, pp. 11702, 2019 On weighted Fock spaces and distributions,
RIMS Kokyuroku, RIMS, Kyoto Univ, Vol. 2089, pp. 84-94, 2018 (with M. Bozejko and T. Hasebe):
Radial density function associated with the (alpha,q)-Fock space,
MI Lecture note, MI, Kyusyu Univ, Vol. 72, pp. 90-98, 2017 (with M. Bozejko and T. Hasebe):
Radial Bargmann representation for the Fock space of type B,
J. Math. Phys, AIP, Vol. 57, No. 2, pp. 21702, 2016 (with A. D. Krystek and L.J. Wojakowski):
Interpolations of Bargmann type measures,
Demonstr. Math., De Gruyter, Vol. 49, No. 3, pp. 293-301, 2016 Note on some orthogonal polynomials having the Brenke type generating functions,
RIMS Kokyuroku, RIMS, Kyoto Univ, Vol. 1921, pp. 41-53, 2014 (with I. Kubo and H.-H. Kuo):
The Brenke type generating functions and explicit forms of MRM-triples by means of q-hypergeometric series,
Infinite Dimensional Analysis, Quantum Probability and Related Topics., World Scientific, Vol. 16, No. 2, 2013 Probability measures on C arising from the Jacobi-Szego parameters for continuous dual Hahn polynomials,
Infinite Dimensional Analysis, Quantum Probability and Related Topics., World Scientific, Vol. 14, No. 3, pp. 361-374, 2011 The construction of subordinated probability measures on C associated with the Jacobi-Szegö parameters.,
Infinite Dimensional Analysis, Quantum Probability and Related Topics., World Scientific, Vol. 12, No. 3, pp. 401-411, 2009 Hilbert space of analytic functions associated with a rotation invariant measure.,
Quantum Probability and Related Topics., World Scientific, Vol. 23, pp. 49-62, 2008 Riesz potentials derived by one-mode interacting Fock space approach.,
Colloquium Mathematicum., Vol. 109, No. 1, pp. 101-106, 2007 (with I.Kubo and H.-H. Kuo):
Generating function method for orthogonal polynomials and Jacobi-Szegö parameters,
M. Schürmann et al. (eds.) Quantum Probability and Infinite Dimensional Analysis-From Foundation to Applications., World Scientific, , Vol. 18, pp. 42-55, 2005 Hilbert space of analytic functions associated with the modified Bessel function and related orthogonal polynomials.,
Infinite Dimensional Analysis, Quantum Probability and Related Topics. , World Scientific, Vol. 8, No. 3, pp. 505-514, 2005 (with I. Kubo and H.-H. Kuo):
Multiplicative renormalization and generating functions II,
Taiwanese Journal of Mathematics., Vol. 8, No. 4, pp. 593-628, 2004 (with I. Kubo and H.-H. Kuo):
Gaussian and Poisson white noises with related characterization theorems.,
Contemporary Mathematics., Amer. Math. Soc., Vol. 317, pp. 45-56, 2003 (with I. Kubo and H.-H. Kuo):
Generating functions of orthogonal polynomials and Szegö-Jacobi parameters,
Probability and Mathematical Statistics., Vol. 23, No. 2, pp. 273-291, 2003 (with I. Kubo and H.-H. Kuo):
Multiplicative renormalization and generating functions I.,
Taiwanese Journal of Mathematics., Vol. 7, No. 1, pp. 89-101, 2003 (with I. Kubo and H.-H. Kuo):
Segal-Bargmann transforms of one-mode interacting Fock spaces associated with Gaussian and Poisson measures.,
Proc. Amer. Math. Soc., Vol. 131, No. 3, pp. 815-823, 2003 On quantum white noises and related transformations,
RIMS Kokyuroku., RIMS, Kyoto University,, Vol. 1278, pp. 34-47, 2002 (with I. Kubo and H.-H. Kuo):
Feynman integrals associated with Albeverio-Hoegh-Krohn and Laplace transform potentials,
H. Kunita et al. (eds.) Stochastics in Finite and Infinite Dimensions, , Birkhäuser, , pp. 29-48, 2001 Analytic characterization of one-mode interacting Fock space.,
Infinite Dimensional Analysis, Quantum Probability and Related Topics., Vol. 4, No. 3, pp. 409-415, 2001 (with I. Kubo and H.-H. Kuo):
General characterization theorems and intrinsic topologies in white noise analysis.,
Hiroshima Math. J., Vol. 31, No. 2, pp. 299-330, 2001 (with I. Kubo and H.-H. Kuo):
Roles of log-concavity, log-convexity, and growth order in white noise analysis.,
Infinite Dimensional Analysis, Quantum Probability and Related Topics., Vol. 4, No. 1, pp. 59-84, 2001 (with I. Kubo and H.-H. Kuo):
Bell numbers, log-concavity, and log-convexity,
Acta Appl. Math., Vol. 63, No. 1-3, pp. 79-87, 2000 A note on general setting of white noise triple and positive generalized functions,
RIMS Kokyuroku., RIMS, Kyoto University,, Vol. 1139, pp. 19-29, 2000 (with I. Kubo and H.-H. Kuo):
Characterization of Hida measures in white noise analysis,
Infinite dimensional harmonic analysis : transactions of a Japanese-German Symposium, held from September 20th to 24th, 1999, at the University of Kyoto, Department of Mathematics, Graduate School of Science, Kyoto University, pp. 70-83, 2000 (with I. Kubo and H.-H. Kuo):
Characterization of test functions in CKS-space,
S. Albeverio et al. (eds.) Mathematical Physics and Stochastic Analysis, , World Scientific, , pp. 68-78, 2000 科学研究費補助金:
2020-2024, 多様な非可換性に起源を持つ作用素の確率論的研究, 基盤研究(C), 代表者
2016-2020, 変形バーグマンフォック表現を通した非可換確率論の研究, 基盤研究(C), 代表者
2011-2013, 量子確率論的手法によるシーガル・バーグマン変換と無限分解可能分布の研究, 基盤研究(C), 代表者
2008-2010, 量子確率論的手法によるフラクショナルブラウン運動の研究, 若手研究(B), 代表者
授業等:
2024, Ｓ 確率統計Ⅰ
2024, Ｓ 確率統計特論
2024, 教職実践演習
2024, Ｓ 解析学概論
2024, Ｓ 確率統計Ⅲ
2024, Ｓ 学校数学探究Ⅰ
2024, Ｓ 学校数学探究Ⅱ
2024, Ｓ 学校数学探究Ⅲ
2024, Ｓ 数学探究Ⅰ
2024, Ｓ 数学探究Ⅱ
2024, Ｓ 数学探究Ⅲ
2024, FS 初年次演習
学外での公的機関における審議会・委員会等での活動
国家試験委員等での活動（科学研究費の審査員等）
日本学術会議協力学術研究団体（学会）等での活動