Ritsumeikan University Researcher Database
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FUJIIE Setsuro
Department / Course
College of Science and Engineering Department of Mathematical Sciences
Title / Position
Professor
Papers
1.
2020/01
Semiclassical WKB problem for the non-self-adjoint Dirac operator with analytic potential │ Journal of Mathematical Physics │ 61 (1) (Co-authored)
2.
2019
Barrier-top resonances for non globally analytic potentials │ Journal of Spectral Theory │ 9 (1),pp.315 - 348 (Co-authored)
3.
2018
Quantization condition for multi-barrier resonances │ RIMS Kokyuroku Bessatsu │ B67,pp.43-54 (Co-authored)
4.
2018
Quantization conditions of eigenvalues for semiclassical Zakharov-Shabat systems on the circle │ Discrete and Continuous Dynamical Systems │ 38 (3),pp.3851-3873 (Co-authored)
5.
2017/06
Molecular predissociation resonances near an energy-level crossing II: Vector field interaction │ Journal of Differential Equations │ 262 (12),pp.5880--5895 (Co-authored)
6.
2017
Propagation des singularités et résonances │ Comptes Rendus Mathématique │ 335 (8),pp.887-891 (Co-authored)
7.
2017
Quantization condition of resonances at energy-level crossing │ RIMS Kokyuroku Bessatsu │ B61,pp.9-21 (Co-authored)
8.
2017
Semiclassical Trace Formula and Spectral Shift Function for Systems via a Stationary Approach │ International Mathematics Research Notes │ 2019 (4),pp.1227 - 1264 (Co-authored)
9.
2016/03
Molecular predissociation resonances near an energy-level crossing I: Elliptic interaction │ Journal of Differential Equations │ 260 (5),pp.4051-4085 (Co-authored)
10.
2015
A time-independent approach for the study of the spectral shift function and an application to Stark Hamiltonians │ Communications in Partial Differential Equations │ 40 (10),pp.1787-1814 (Co-authored)
11.
2014
Resonances generated by a homoclinic curve │ RIMS K\^oky\^uroku │ 1914,pp.121-138 (Co-authored)
12.
2014
Width of resonances created by homoclinic orbits - isotropic fixed point case - │ RIMS K\^oky\^uroku Bessatsu │ B45,pp.31-44 (Co-authored)
13.
2011
Spectral Projection, Residue of the Scattering Amplitude
and Schrodinger group expansion for barrier top resonances │ Ann. Inst. Fourier │ 61 (4),pp.1315-1406 (Co-authored)
14.
2010
Semiclassical complex interactions at a non-analytic
turning point │ RIMS K\^oky\^uroku Bessatsu │ B37,pp.31-47 (Co-authored)
15.
2010
Width of shape resonances for non globally
analytic potentials │ J. Math. Soc. Japan │ 63 (1),pp.1 - 78 (Co-authored)
16.
2009
Semiclassical resonances for a two-level Schr\"odinger
operator with a conical intersection │ Asymptotic Analysis │ 65 (1-2),pp.17-58 (Co-authored)
17.
2008
Propagation of microlocal solutions through
a hyperbolic fixed point │ RIMS K\^oky\^uroku Bessatsu │ B10,pp.1-32 (Co-authored)
18.
2007
Microlocal kernel of pseudodifferential operators
at a hyperbolic fixed point │ J. Funct. Anal. │ 252 (1),pp.68-125 (Co-authored)
19.
2004
Bohr-Sommerfeld quantization condition
derived by a microlocal WKB method │ Vietnam Jouranl of Mathematics │ 32,pp.68-125 (Co-authored)
20.
2003
Breit-Wigner formula at barrier tops │ J. Math. Phys. │ 44 (5),pp.1971-1983 (Co-authored)
21.
2002
Exact WKB analysis and the Langer modification
with application
to barrier top resonances │ Kyoto University Press, "Toward the exact WKB analysis of differential equations, linear and non-linear │ ,pp.15-32 (Co-authored)
22.
1998
Matrice de scattering et
r\'esonances associ\'ees \`a une orbite h\'et\'erocline │ Ann. Inst. H. Poincar\'e Phys. Th\'eor. │ 69 (1),pp.31-82 (Co-authored)
23.
1998
Semiclassical representation of the scattering matrix
by a Feynmann integral │ Comm. Math. Phys. │ 198,pp.407-425 (Sole-authored)
24.
1997
Solutions ramifi\'ees des probl\`emes de Cauchy
caract\'eristiques et fonctions hyper -g\'eom\'etriques
\`a deux variables │ Tohoku Mathematical Publication │ 6,pp.1-49 (Sole-authored)
25.
1993
Repr\'esentation hyperg\'eom\'etrique des singularit\'es
de la solution du probl\`eme de Cauchy
caract\'eristique \`a donn\'ees holomorphes │ Comm. Partial Differential Equations │ 18,pp.1589-1629 (Sole-authored)
26.
1991
Singular Cauchy problems of higher order
with characteristic initial surface │ Journal of Math. Kyoto Univ. │ 33,pp.1-27 (Sole-authored)