Takashi Ichinose - My portal

Profile Information

Degree: Dr. phil. nat.(Frankfurt University)
理学博士(名古屋大学)

J-GLOBAL ID: 200901083441857064
researchmap Member ID: 1000020503

Research Interests

Research Areas

Research History

Education

Papers

Kato's Inequality for Magenetic Relativistic Schrödinger Operators

ICHINOSE Takashi

Publ. Res. Inst. Math. Sci. Kyoto University (to appear), 53(1) 79-117, Mar, 2017 Peer-reviewed
Improved Sobolev Embedding Theorems for Vector-Valued Functions

Takashi Ichinose, Yoshimi Saito

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 57(2) 245-295, Aug, 2014 Peer-reviewed
On Three Magnetic Relativistic Schrodinger Operators and Imaginary-Time Path Integrals

Takashi Ichinose

LETTERS IN MATHEMATICAL PHYSICS, 101(3) 323-339, Sep, 2012 Peer-reviewed
Dirac-Sobolev Spaces and Sobolev Spaces

Takashi Ichinose, Yoshimi Saito

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 53(2) 291-310, Aug, 2010 Peer-reviewed
Note on norm and pointwise convergence of exponential products and their integral kernels for the harmonic oscillator

Yoshiki Azuma, Takashi Ichinose

INTEGRAL EQUATIONS AND OPERATOR THEORY, 60(2) 151-176, Feb, 2008 Peer-reviewed
On the spectral zeta function for the non-commutative harmonic oscillator, Rep. Math. Phys.

ICHINOSE Takashi, WAKAYAMA Masato

Rep. Math. Phys., 59 421-432, 2007 Peer-reviewedInvited
Exponential product approximation to the integral kernel of the Schrodinger semigroup and to the heat kernel of the Dirichlet Laplacian

Takashi Ichinose, Hideo Tamura

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 592 157-188, 2006 Peer-reviewed
Zeta functions for the spectrum of the non-commutative harmonic oscillators

T Ichinose, M Wakayama

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 258(3) 697-739, Sep, 2005 Peer-reviewed
A product formula related to quantum zeno dynamics

P Exner, T Ichinose

ANNALES HENRI POINCARE, 6(2) 195-215, Apr, 2005 Peer-reviewed
Special values of the spectral zeta function of the non-commutative harmonic oscillator and confluent Heun equations

T Ichinose, M Wakayama

KYUSHU JOURNAL OF MATHEMATICS, 59(1) 39-100, Mar, 2005 Peer-reviewed
Trotter-Kato product formula and fractional powers of self-adjoint generators

T Ichinose, H Neidhardt, VA Zagrebnov

JOURNAL OF FUNCTIONAL ANALYSIS, 207(1) 33-57, Feb, 2004 Peer-reviewed
Sharp error bound on norm convergence of exponential product formula and approximation to kernels of Schrodinger semigroups

T Ichinose, H Tamura

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 29(11-12) 1905-1918, 2004 Peer-reviewed
Note on the norm convergence of the unitary Trotter product formula

ICHINOSE Takashi, TAMURA Hideo

LETTERS IN MATHEMATICAL PHYSICS, 71 65-81, 2004 Peer-reviewedInvited
Note on the paper "The norm convergence of the Trotter-Kato product formula with error bound" by Ichinose and Tamura

T Ichinose, H Tamura, H Tamura, VA Zagrebnov

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 221(3) 499-510, Aug, 2001 Peer-reviewed
The norm convergence of the Trotter-Kato product formula with error bound

T Ichinose, H Tamura

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 217(3) 489-502, Mar, 2001 Peer-reviewed
Geometrically induced spectrum in curved leaky wires

P Exner, T Ichinose

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 34(7) 1439-1450, Feb, 2001 Peer-reviewedInvited
The norm estimate of the difference between the KAC operator and Schrödinger semigroup II: The general case including the relativistic case

Takashi Ichinose, Satoshi Takanobu

Electronic Journal of Probability, 5(4) 1-47, Jan 1, 2000 Peer-reviewed
Error estimate in operator norm of exponential product formulas for propagators of parabolic evolution equations

T Ichinose, H Tamura

OSAKA JOURNAL OF MATHEMATICS, 35(4) 751-770, Dec, 1998 Peer-reviewed
Error bound in trace norm for Trotter-Kato product formula of Gibbs semigroups

T Ichinose, H Tamura

ASYMPTOTIC ANALYSIS, 17(4) 239-266, Aug, 1998 Peer-reviewed
Error bounds on exponential product formulas

DOUMEKI Atsushi, ICHINOSE Takashi, TAMURA Hideo

J. Math. Soc. Japan, 50(2) 359-377, 1998 Peer-reviewed

Misc.

On three imaginary-time path integral formulas with magnetic fields in relativistic quantaum mechanics

ICHINOSE Takashi

1958 117-147, Jul, 2015
Magnetic relativistic schrödinger operators and imaginary-time path integrals

Takashi Ichinose

Operator Theory: Advances and Applications, 232 247-297, 2013 Peer-reviewed
Zeta functions for the spectrum of the non-commutative harmonic oscillators

T Ichinose, M Wakayama

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 258(3) 697-739, Sep, 2005
Zeta functions for the spectrum of the non-commutative harmonic oscillators

Takashi Ichinose, Masato Wakayama

Communications in Mathematical Physics, 258(3) 697-739, Sep, 2005
Path integral for the radial Dirac equation

Takashi Ichinose

Journal of Mathematical Physics, 46(2) 022103, Feb, 2005
Path integral for the radial Dirac equation

T Ichinose

JOURNAL OF MATHEMATICAL PHYSICS, 46(2) 022103, Feb, 2005
Special values of the spectral zeta function of the non-commutative harmonic oscillator and confluent Heun equations

59(1) 39-100, 2005
Trotter-Kato product formula and fractional powers of self-adjoint generators

T Ichinose, H Neidhardt, VA Zagrebnov

JOURNAL OF FUNCTIONAL ANALYSIS, 207(1) 33-57, Feb, 2004
On the norm convergence of the self-adjoint Trotter-Kato product formula with error bound

T Ichinose, H Tamura

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 112(1) 99-106, Feb, 2002 Peer-reviewed
On the norm convergence of the selfadjoint Trotter-Kato product formula with error bound

Proc. Indian Accad. Sci. (Math. Sci.)," Special Issue on Spectral and Inverse Spectral Theory, 112(1) 99-106, 2002
On the norm convergence of the Trotter-Kato product formula with error bound

京都大学数理解析研究所講究録, 1208 128-134, 2001
Norm convergence of the Lie-Trotter-Kato product formula and imaginary-time path integral

J. Korean Math. Soc., 38(2) 337-348, 2001
On the norm convergence of the Trotter-Kato product formula with error bound

京都大学数理解析研究所講究録, 1208 128-134, 2001
On the norm convergence of the Trotter-Kato product formula with error bound

T Ichinose, H Tamura

PARTIAL DIFFERENTIAL EQUATIONS AND SPECTRAL THEORY, 126(2) 149-154, 2001 Peer-reviewed
Norm convergence of the Lie-Trotter-Kato product formula and imaginary-time path integral

J. Korean Math. Soc., 38(2) 337-348, 2001
Note on the paper \

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 221(3) 499-510, 2001
数学の未解決問題２１世紀に向けて「経路積分ー解析の立場から」

一瀬孝

数理科学, 37(10) 52-59, 1999
現代数学をよむキーワード「量子」

一瀬孝

数学セミナー, (5) 28-29, 1999 Invited
Norm estimate for Kac's transfer operator with applications to the Lie-Trotter product formula

Mathematical Methods of Quantum Physics, Essays in honor of Professor Hiroshi Ezawa (Proceedings of the 2nd Jagna International Workshop, January 4--8, 1998)," Gordon and Breach Publ., 145-154, 1999
Norm estimate for Kac's transfer operator with applications to the Lie-Trotter product formula

Mathematical Methods of Quantum Physics, Essays in honor of Professor Hiroshi Ezawa (Proceedings of the 2nd Jagna International Workshop, January 4--8, 1998)," Gordon and Breach Publ., 145-154, 1999

Professional Memberships

Research Projects

量子物理学における数学的問題

科学研究費補助金, 1998
Mathematical Problems in Quantum Physics

Grant-in-Aid for Scientific Research, 1998
量子力学の諸問題の作用素論的研究

科学研究費補助金, 1980
Operator-theoretical study on problems in quantum mechanics

Grant-in-Aid for Scientific Research, 1980
相対論的量子力学における経路積分と関連する諸問題

科学研究費補助金, 1975
Path integral in relativistic quantum mechanics and related problems

Grant-in-Aid for Scientific Research, 1975