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Obata Nobuaki
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Cited by
Year
White noise calculus and Fock space
N Obata
Springer, 2006
5932006
Quantum probability and spectral analysis of graphs
A Hora, N Obata
Springer Science & Business Media, 2007
2882007
Infinite dimensional rotations and Laplacians in terms of white noise calculus
T Hida, N Obata, K Saitô
Nagoya mathematical journal 128, 65-93, 1992
1141992
An analytic characterization of symbols of operators on white noise functionals
N Obata
Journal of the Mathematical Society of Japan 45 (3), 421-445, 1993
1081993
Lévy Laplacian of generalized functions on a nuclear space
HH Kuo, N Obata, K Saitô
Journal of Functional Analysis 94 (1), 74-92, 1990
981990
Transformations for white noise functionals
T Hida, HH Kuo, N Obata
Journal of functional analysis 111 (2), 259-277, 1993
911993
A characterization of the Lévy Laplacian in terms of infinite dimensional rotation groups
N Obata
Nagoya mathematical journal 118, 111-132, 1990
691990
Notions of independence related to the free group
L Accardi, Y Hashimoto, N Obata
Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 (02 …, 1998
681998
Monotone independence, comb graphs and Bose–Einstein condensation
L Accardi, A Ben Ghorbal, N Obata
Infinite Dimensional Analysis, Quantum Probability and Related Topics 7 (03 …, 2004
652004
Quantum probabilistic approach to spectral analysis of star graphs
N Obata
Interdisciplinary Information Sciences 10 (1), 41-52, 2004
632004
Quantum stochastic analysis via white noise operators in weighted Fock space
DM Chung, UC Ji, N Obata
Reviews in Mathematical Physics 14 (03), 241-272, 2002
582002
Analytic characterization of generalized Fock space operators as two-variable entire functions with growth condition
UC Ji, N Obata, H Ouerdiane
Infinite dimensional analysis, quantum probability and related topics 5 (03 …, 2002
542002
Annihilation-derivative, creation-derivative and representation of quantum martingales
UC Ji, N Obata
Communications in mathematical physics 286 (2), 751-775, 2009
522009
Wick product of white noise operators and quantum stochastic differential equations
N Obata
Journal of the Mathematical Society of Japan 51 (3), 613-641, 1999
481999
Higher powers of quantum white noises in terms of integral kernel operators
DM Chung, UC Ji, N Obata
Infinite dimensional analysis, quantum probability and related topics 1 (04 …, 1998
471998
Central limit theorems for large graphs: Method of quantum decomposition
Y Hashimoto, A Hora, N Obata
Journal of mathematical physics 44 (1), 71-88, 2003
442003
Generalized quantum stochastic processes on Fock space
N Obata
Publications of the Research Institute for Mathematical Sciences 31 (4), 667-702, 1995
421995
Diagonalization of the Lévy Laplacian and related stable processes
HH Kuo, N Obata, K Saitô
Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 (03 …, 2002
402002
Operator calculus on vector-valued white noise functionals
N Obata
Journal of functional analysis 121 (1), 185-232, 1994
371994
Quadratic quantum white noises and Lévy Laplacian
N Obata
Nonlinear Analysis, Theory, Methods and Applications 47 (4), 2437-2448, 2001
362001
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