- Faculty:Department of MathematicsPosition:Professor
- Address:1 Hirosawa,Igaya-cho,Kariya-shi,Aichi
- TEL:FAX:
- E-mail address:
- Web site:

Modified:05/08/2019

- Natural Sciences

- Functional Analysis, Probability theory, White noise theory
- Keywords:Infinite dimensional analysis , Quantum probability theory , Mathematical physics , Theory of orthogonal polynomials , Fock spaces , q-deformation

- Non-commutative processes on defomed Fock spaces
- Non-Gaussian Segal-Bargmann analysis in quantum probability theory
- White noise theory and its applications to quantum probability theory
- The construction of orthogonal polynomials by the multiplicative renormalization method

- The Mathematical Society of Japan
- The American Mathematical Society
- The Japan Society for Industrial and Applied Mathematics

- Ph.D

- 2008 - , Associate Professor
- 2006 - 2008 , Assistant Professor

- (with H. Yoshida)

Poisson type operators on the Fock space of type B

Journal of Mathematical Physics, American Institute of Physics, 60(1):011702, 2019

MR3903542 - On weighted Fock spaces and distributions (Mathematical Aspects of Quantum Fields and Related Topics)

RIMS Kokyuroku, RIMS, Kyoto University, 2089:84--94, 2018-08 - (with M. Bozejko and T. Hasebe)

Radial density function associated with the $(\alpha,q)$-Fock space

Mathematical quantum field theory and related topics, MI Lecture note series, Institute for Mathematics for Industry, Kyusyu University, 72:90--98, 2017-01 - (with A. Krystek and L. Wojakowski)

Interpolations of Bargmann type measures

Demonstratio Mathematica, De Gruyter, 49(3):293–301, 2016

MR3540972 - (with M. Bozejko and T. Hasebe)

Radial Bargmann representation for the Fock space of type B

Journal of Mathematical Physics, American Institute of Physics, 57(2):021702 (13 pages), 2016

MR3447642 - Notes on some orthogonal polynomials having the Brenke type generating functions (Mathematical aspects of quantum fields and related topics)

RIMS Kokyuroku, RIMS, Kyoto University, 1921:41-53, 2014-10 - (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, 16(2):1350010, 2013

MR3078821 - 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, 14(3):361-374, 2011

MR2847244 - The construction of subordinated probability measures on C associated with the Jacobi-Szegö parameters.

Infinite Dimensional Analysis, Quantum Probability and Related Topics., World Scientific, 12:401-411, 2009

MR 2011b:46102 - Hilbert space of analytic functions associated with a rotation invariant measure.

Quantum Probability and Related Topics., World Scientific, :49-62, 2008

MR 2011a:46110 - Riesz potentials derived by one-mode interacting Fock space approach.

Colloquium Mathematicum., 109:101-106, 2007

MR 2008f:46090. - (with I. Kubo and H.-H. Kuo)

Renormalization, orthogonalization, and generating functions

Quantum Information V., World Scientific, , :49-56, 2006 - On Gaussian and Poisson white noises

Quantum Information V., World Scientific, , :35-48, 2006 - 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, 8:505-514, 2005

MR 2006g:30085. - (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, , :42-55, 2005

MR 2007b:33010. - (with I. Kubo and H.-H. Kuo)

Multiplicative renormalization and generating functions II

Taiwanese Journal of Mathematics., 8(4):593-628, 2004

MR 2005i:33008. - (with I. Kubo and H.-H. Kuo)

Generating functions of orthogonal polynomials and Szegö-Jacobi parameters

Probability and Mathematical Statistics., 23(2):273-291, 2003

MR 2005g:42057. - (with I. Kubo and H.-H. Kuo)

Gaussian and Poisson white noises with related characterization theorems.

Contemporary Mathematics., Amer. Math. Soc., 317:45-56, 2003

MR 2004d:60179. - (with I. Kubo and H.-H. Kuo)

Multiplicative renormalization and generating functions I.

Taiwanese Journal of Mathematics., 7(1):89-101, 2003

MR 2004a:33010. - (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., 131(3):815-823, 2003

MR 2003j:46099. - Integral transform and Segal-Bargmann representation associated to q-charlier polynomials.

Quantum Information IV., World Scientific, , :39-48, 2002

MR 2004a:81137. - On quantum white noises and related transformations

RIMS Kokyuroku., RIMS, Kyoto University,, (1278):34-47, 2002 - Analytic characterization of one-mode interacting Fock space.

Infinite Dimensional Analysis, Quantum Probability and Related Topics., 4:409-415, 2001

MR 2002k:81107. - (with I. Kubo and H.-H. Kuo)

General characterization theorems and intrinsic topologies in white noise analysis.

Hiroshima Math. J., 31:299-330, 2001

MR 2002f:60131. - Chracterization of product measures by an integrability condition.

Quantum Information III., World Scientific, , :21-33, 2001

MR 2002m:60123. - (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., 4:59-84, 2001

MR 2002a:46055. - (with I. Kubo and H.-H. Kuo)

Bell numbers, log-concavity, and log-convexity

Acta Appl. Math., 63:79-87, 2000

MR 2002f:60130. - (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, , :68-78, 2000

MR 2002m:46068. - (with I. Kubo and H.-H. Kuo)

CKS-space in terms of growth functions

Quantum Information II., World Scientific, , :17-27, 2000

MR 2002k:60139. - (with I. Kubo and H.-H. Kuo)

Feynman integrals associated with Albeverio-H-egh-Krohn and Laplace transform potentials

H. Kunita et al. (eds.) Stochastics in Finite and Infinite Dimensions, , Birkhäuser, , :29-48, 2000

MR 2001k:60091. - (with I. Kubo and H.-H. Kuo)

Characterization of Hida measures in white noise analysis

H. Heyer et al. (eds.) Infinite Dimensional Harmonic Analysis- Transactions of a Japanese-Germany Symposium, , D.+M. Gräbner, Tübingen,, :70-83, 2000

MR 2002f:46075. - A note on general setting of white noise triple and positive generalized functions

RIMS Kokyuroku., RIMS, Kyoto University,, (1139):19--29, 2000

- 国際会議（以下作成中）

- 追加予定

- 2019- , AMS-MAA Joint Mathematical Meeting, AMS Special session on Orthogonal Polynomials, Quantum Probability, Harmonic Analysis, and Stochastic Analysis , Baltimore Convention Center (Baltimore, USA)
- Mathematical Review (AMS)
- zbMATH

- 2017, Graduation thesis Total:4, Master's thesis Total:1(1)
- 2016, Graduation thesis Total:1, Master's thesis Total:2(1)
- 2014, Graduation thesis Total:1, Master's thesis Total:1
- 2013, Graduation thesis Total:2
- 2012, Graduation thesis Total:7
- 2011, Graduation thesis Total:5
- 2010, Graduation thesis Total:6
- 2009, Graduation thesis Total:7
- 2008, Graduation thesis Total:7