Obata Nobuaki
タイトル
引用先
引用先
White noise calculus and Fock space
N Obata
Springer, 2006
5392006
Quantum probability and spectral analysis of graphs
A Hora, N Obata
Springer Science & Business Media, 2007
2322007
Infinite dimensional rotations and Laplacians in terms of white noise calculus
T Hida, N Obata, K Saitô
Nagoya Mathematical Journal 128, 65-93, 1992
1091992
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
991993
Lévy Laplacian of generalized functions on a nuclear space
HH Kuo, N Obata, K Saitô
Journal of Functional Analysis 94 (1), 74-92, 1990
891990
Transformations for white noise functionals
T Hida, HH Kuo, N Obata
Journal of functional analysis 111 (2), 259-277, 1993
871993
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
A characterization of the Lévy Laplacian in terms of infinite dimensional rotation groups
N Obata
Nagoya Mathematical Journal 118, 111-132, 1990
651990
Quantum probabilistic approach to spectral analysis of star graphs
N Obata
Interdisciplinary Information Sciences 10 (1), 41-52, 2004
552004
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
552002
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
522004
Annihilation-derivative, creation-derivative and representation of quantum martingales
UC Ji, N Obata
Communications in mathematical physics 286 (2), 751-775, 2009
502009
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
492002
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
451999
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
421998
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
412003
Generalized quantum stochastic processes on Fock space
N Obata
Publications of the Research Institute for Mathematical Sciences 31 (4), 667-702, 1995
401995
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
372002
Quadratic quantum white noises and Lévy Laplacian
N Obata
Nonlinear Analysis, Theory, Methods and Applications 47 (4), 2437-2448, 2001
372001
Rotation-invariant operators on white noise functionals
N Obata
Mathematische Zeitschrift 210 (1), 69-89, 1992
341992
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論文 1–20