1. |
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Integration theory on infinite dimensional manifolds; Trans. Amer. Math. Soc. 159 (1971) 57-78 |
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2. |
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Stochastic integrals in abstract Wiener space; Pacific J. Math. 41 (1972) 469-482 |
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3. |
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Diffusion and Brownian motion on infinite dimensional manifolds; Trans. Amer. Math. Soc. 169 (1972) 439-459 |
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4. |
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(with M. A. Piech) Stochastic integral and parabolic equation in abstract Wiener space; Bull. Amer. Math. Soc. 79 (1973) 478-482 |
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5. |
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Absolute continuity of measures corresponding to diffusion processes in Banach space; Annals of Probability 1 (1973) 513-518 |
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6. |
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Differential and Stochastic equations in abstract Wiener space; J. Functional Analysis 12 (1973) 246-256 |
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7. |
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On operator-valued stochastic integrals; Bull. Amer. Math. Soc. 79 (1973) 207-210 |
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8. |
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Stochastic integrals in abstract Wiener space II: Regularity properties; Nagoya Math. J. 50 (1973) 89-116 |
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9. |
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On stochastic maximum principle in Banach space; J. Functional Analysis 14 (1973) 146-161 |
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10. |
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The Morse-Palais lemma on Banach spaces; Bull. Amer. Math. Soc. 80 (1974) 363-365 |
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11. |
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Integration by parts for abstract Wiener measures; Duke Math. J. 41 (1974) 373-379 |
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12. |
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Differentiable measures; Chinese J. Math. 2 (1974) 188-198 |
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13. |
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Itô's lemma for Banach spaces; Bull. Inst. Math. Academia Sinica 3 (1975) 71-79 |
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14. |
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On a conjecture of Gross; Proc. Amer. Math. Soc. 50 (1975) 379-382 |
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15. |
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On Gross differentiation on Banach spaces; Pacific J. Math. 59 (1975) 135-145 |
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16. |
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Potential theory associated with Uhlenbeck-Ornstein process; J. Functional Analysis 21 (1976) 63-75 |
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17. |
|
Distribution theory on Banach space; Lecture Notes in Math., Springer-Verlag 526 (1976) 143-156 |
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18. |
|
Differential calculus for measures on Banach spaces; Lecture Notes in Math., Springer-Verlag 644 (1978) 270-285 |
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19. |
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Uhlenbeck-Ornstein process on a Riemann-Wiener manifold; in: Stochastic Differential Equations, K. Itô (ed.), Kinokuniya Book-Store Co. (1978) 187-193 |
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20. |
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An example of quasi-invariant cylindrical measure; Z. Wahrscheinlichkeitstheorie 46 (1978) 53-54 |
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21. |
|
The chain rule for differentiable measures; Studia Math. 63 (1978) 145-155 |
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22. |
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On integral contractors; J. Integral Equations 1 (1979) 35-46 |
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23. |
|
Integration in Banach spaces; in:Notes in Banach Spaces, H. Elton Lacey (ed.), University of Texas Press (1980) 1-38 |
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24. |
|
Fourier-Wiener transform on Brownian functionals; Lecture Notes in Math., Springer-Verlag 828 (1980) 146-161 |
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25. |
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(with W. Smolenski) On admissible shifts of generalized white noises; J. Multivariate Analysis 12 (1982) 80-88 |
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26. |
|
On Fourier transform of generalized Brownian functionals; J. Multivariate Analysis 12 (1982) 415-431 |
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27. |
|
Donsker's delta function as a generalized Brownian functional and its application; Lecture Notes in Control and Information Sci., Springer-Verlag 49 (1983) 167-178 |
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28. |
|
A Fourier transform characterization of Gaussian Brownian functionals; Bull. Inst. Math. Academia Sinica 11 (1983) 407-413 |
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29. |
|
Brownian functionals and applications; Acta Applicandae Mathematicae 1 (1983) 175-188 |
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30. |
|
Fourier-Mehler transforms of generalized Brownian functionals; Proc. Japan Academy 59A (1983) 312-314 |
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31. |
|
(with G. Kallianpur) Regularity property of Donsker's delta function; Appl. Math. Optim. 12 (1984) 89-95 |
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32. |
|
On Laplacian operators of generalized Brownian functionals; Lecture Notes in Math., Springer-Verlag 1203 (1986) 119-128 |
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33. |
|
The heat equation and the Fourier transform of generalized Brownian functionals; Lecture Notes in Math., Springer-Verlag 1236 (1987) 154-163 |
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34. |
|
(with N. R. Shieh) A generalized Itô's formula for multidimensional Brownian motions and its applications; Chinese J. Math. 15 (1987) 163-174 |
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35. |
|
(with A. Russek) White noise approach to stochastic integration; J. Multivariate Analysis 24 (1988) 218-236 |
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36. |
|
Brownian motion, diffusions and infinite dimensional calculus; Lecture Notes in Math., Springer-Verlag 1316 (1988) 130-169 |
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37. |
|
White noise calculus; in:Algebra, Analysis and Geometry, M. C. Kang and K. W. Lih (eds.), World Scientific (1989) 77-119 |
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38. |
|
Stochastic partial differential equations of generalized Brownian functionals; Lecture Notes in Math., Springer-Verlag 1390 (1989) 138-146 |
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39. |
|
The Fourier transform in white noise calculus; J. Multivariate Analysis 31 (1989) 311-327 |
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40. |
|
(with T. C. Sun) Absolute value of white noise as a generalized Brownian functional; Soochow J. Math 15 (1989) 205-211 |
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41. |
|
(with M. de Faria) A delta white noise functional; Acta Applicandae Mathematicae 17 (1989) 287-298 |
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42. |
|
(with N. Obata and K. Saitô) Levy Laplacian of generalized functions on a nuclear space; J. Functional Analysis 94 (1990) 74-92 |
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43. |
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(with J. Potthoff) Anticipating stochastic differential equations; in:Probability Theory and Math. Stat., Proc. 5th Intern. Conference, vol. 2, 35-46, Vilnius, Lithuania (1990) |
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44. |
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(with J. Potthoff) Anticipating stochastic integrals and stochastic differential equations; in:White Noise Analysis: Math. and Appl., T. Hida et al. (eds.), World Scientific (1990) 256-273 |
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45. |
|
(with J. Potthoff and L. Streit) A characterization of white noise test functionals; Nagoya Math. J. 121 (1991) 185-194 |
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46. |
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Fourier-Mehler transforms in white noise analysis; in:Gaussian Random Fields, the Third Nagoya Lévy Seminar, K. Itô and T. Hida (eds.), World Scientific (1991), 257-271 |
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47*. |
|
Lectures on white noise analysis; Proc. Preseminar Intern. Conf. Gaussian Random Fields, T. Hida and K. Saitô (eds.) (1991) 1-65 (This set of lecture notes later appeared in Soochow J. Math.{see the next item) |
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47. |
|
Lectures on white noise analysis; Soochow J. Math. 18 (1992) 229-300 |
|
48. |
|
Convolution and Fourier transform of Hida distributions; Lecture Notes in Control and Information Sci., Springer-Verlag 176 (1992) 165-176 |
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49. |
|
(with T. Hida) Semigroups associated with generalized Brownian functionals; Semigroup Forum 45 (1992) 261-263 |
|
50. |
|
(with J. Potthoff and J. A. Yan) Continuity of affine transformations of white noise test functionals and applications; Stochastic Processes and Their Applications 43 (1992) 85-98 |
|
51. |
|
An introduction to white noise calculus; Aportaciones Matemáticas, Notas de Investigación 7 (1992) 1-12 |
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52. |
|
(with T. Hida and N. Obata) Transformations for white noise functionals; J. Functional Analysis 111 (1993) 259-277 |
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53. |
|
(with I. Kubo) Fourier transform and cylindrical Hida distributions; in:Stochastic Processes, a Festschrift in Honor of G. Kallianpur, S. Cambanis et al. (eds.), Springer-Verlag (1993) 191-201 |
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54. |
|
Analysis of white noise functionals; Soochow J. Math. 20 (1994) 419-464 |
|
55. |
|
(with I. Dôku and Y. -J. Lee) Fourier transform and heat equation in white noise analysis; Pitman Research Notes in Math. 310 (1994) 60-74 |
|
56. |
|
White noise analysis; in:Proc. Workshops in Pure Math. 14, part II: Analysis, D. Kim (ed.) (1994) 27-40, Pure Math. Research Assoc., Korea Academic Council |
|
57. |
|
(with I. Kubo) Finite dimensional Hida distributions; J. Functional Analysis 128 (1995) 1-47 |
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58. |
|
An infinite dimensional Fourier transform; in:Stochastic Processes, Physics, and Geometry II, S. Albeverio et al. (eds.), World Scientific (1995) 482-490 |
|
59. |
|
(with I. Kubo) Simple proof of Hida distribution characterization theorem; in: Exploring Stochastic Laws, Festschrift in Honor of the 70th Birthday of V. S. Korolyuk, A.V. Skorokhod and Yu. V. Borovskikh (eds.), International Science Publishers (1995) 243-250 |
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60. |
|
(with K. Nishi) An anticipatory Itô formula; Proc. Japan Academy 72A (1996) 36-38 |
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61. |
|
A characterization of Hida measures; in:Stochastic Processes and Functional Analysis, J. A. Goldstein et al. (eds.), Marcel Dekker (1997) 147-151 |
|
62. |
|
Stochastic integration via white noise analysis; Nonlinear Analysis, Theory, Methods, and Applications 30 (1997) 317-328 |
|
63. |
|
(with W. G. Cochran and A. Sengupta) A new class of white noise generalized functions; Infinite Dimensional Analysis, Quantum Probability, and Related Topics 1 (1998) 43-67 |
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64. |
|
(with J. Xiong) Stochastic differential equations in white noise space; Infinite Dimensional Analysis, Quantum Probability, and Related Topics 1 (1998) 611-632 |
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65. |
|
(with I. Kubo and A. Sengupta) White noise analysis on a new space of Hida distributions; Infinite Dimensional Analysis, Quantum Probability, and Related Topics 2 (1999) 315-335 |
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66. |
|
(with N. Asai and I. Kubo) Characterization of Hida measures in white noise analysis; in: Infinite Dimensional Harmonic Analysis, Transactions of a Japan-Germany Symposium, H. Heyer et al. (eds.) (1999) 70-83, Druck D.+M. Gräbner |
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67. |
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Anticipatory Itô's formula and Hitsuda-Skorokhod integral; in: Skorokhod's Ideas in Probability Theory, V. Korolyuk et al. (eds.), Proc. Institute of Math., National Academy of Sciences of Ukraine, Vol. 32 (2000) 248-255 |
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68. |
|
(with N. Asai and I. Kubo) Feynman integrals associated with Albeverio{Høegh-Krohn and Laplace transform potentials; in: Stochastic in Finite and Infinite Dimensions, in honor of G. Kallianpur, T. Hida et al. (eds.) (2000) 29-48, Birkhäuser |
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69. |
|
(with N. Asai and I. Kubo) CKS-space in terms of growth functions; in: Quantum Information II, T. Hida and K. Saitô (eds.) (2000) 17-27, World Scientific |
|
70. |
|
Growth functions in white noise theory; Soochow J. Math. 26 (2000) 327-342 |
|
71. |
|
(with N. Asai and I. Kubo) Characterization of test functions in CKS-space; in: Mathematical Physics and Stochastic Analysis: Essays in Honor of Ludwig Streit, A. Albeverio et al. (eds.) (2000) 68-78, World Scientific |
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72. |
|
(with N. Asai and I. Kubo) Bell numbers, log-concavity, and log-convexity; Acta Applicandae Mathematicae 63 (2000) 79-87 |
|
73. |
|
(with Y.-J. Lee and C.-Y. Shih) Wiener-Itô theorem in terms of Wick tensors; Acta Applicandae Mathematicae 63 (2000) 203-218 |
|
74. |
|
(with N. Asai and I. Kubo) Roles of log-concavity, log-convexity, and growth order in white noise analysis; Infinite Dimensional Analysis, Quantum Probability, and Related Topics 4 (2001) 59-84 |
|
75. |
|
(with N. Asai and I. Kubo) General characterization theorems and intrinsic topologies in white noise analysis; Hiroshima Math. J. 31 (2001) 299-330 |
|
76. |
|
Growth functions for generalized functions on white noise space; in:Quantum Information III, T. Hida and K. Saitô (eds.) (2001) 89-96, World Scientific |
|
77. |
|
(with L. Accardi and T. Hida) The Itô table of the square of white noise; Infinite Dimensional Analysis, Quantum Probability, and Related Topics 4 (2001) 267-275 |
|
78. |
|
(with L. Accardi and A. Boukas) On the unitarity of stochastic evolutions driven by the square of white noise; Infinite Dimensional Analysis, Quantum Probability, and Related Topics 4 (2001) 579-288 |
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79. |
|
(with N. Obata and K. Sait\^o) White noise analysis based on the Levy Laplacian;; Kokyuroku 1227 (2001) 170-183, Research Institute of Mathematical Sciences, Kyoto University |
|
80. |
|
Wiener-Itô decomposition; in:Encyclopaedia of Mathematics, Supplement III 439-440, M. Hazewinkle (Managing editor), Kluwer Academic Publishers, 2002 |
|
81. |
|
White noise theory; in:Handbook of Stochastic Analysis and Applications D. Kannan and V. Lakshmikantham (eds.) (2002) 107-158, Marcel Dekker |
|
82. |
|
A quarter century of white noise theory; in:Quantum Information IV, T. Hida and K. Saitô (eds.) (2002) 1-37, World Scientific |
|
83. |
|
(with K. Saitô and A. Stan)A Hausdorff-Young inequality for white noise analysis; in:Quantum Information IV, T. Hida and K. Saitô (eds.) (2002) 115-126, World Scientific |
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84. |
|
(with N. Obata and K. Saitô) Diagonalization of the Levy Laplacian and related stable processes; Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 (2002) 317-331 |
|
85. |
|
(with N. Asai and I. Kubo) Segal-Bargmann transforms of one-mode interacting Fock spaces associated with Gaussian and Poisson measures; Proc. Amer. Math. Soc. 131 (2002) 815-823 |
|
86. |
|
(with N. Asai and I. Kubo) Gaussian and Poisson white noises with related characterization theorems; in: Finite and Infinite Dimensional Analysis in Honor of Leonard Gross}, Contemporary Mathematics 317 (2003) 45-56, Amer. Math. Soc. |
|
87. |
|
(with N. Asai and I. Kubo) Multiplicative renormalization and generating functions I.; Taiwanese Journal of Mathematics 7 (2003) 89-101 |
|
88. |
|
Some aspects of white noise analysis; in:Proceedings of the Volterra International School on White Noise Approach to Classical and Quantum Stochastic Calculi, L. Accardi (ed.) World Scientific (accepted for publication) |
|
89. |
|
(with N. Asai and I. Kubo) Renormalization, orthogonalization, and generating functions; in: Quantum Information V, T. Hida and K. Saitô (eds.) (accepted for publication) |
|
90. |
|
(with N. Asai and I. Kubo) Multiplicative renormalization and generating functions II; Taiwanese Journal of Mathematics (accepted for publication) |
|
91. |
|
(with N. Asai and I. Kubo) Generating functions of orthogonal polynomials and Szego-Jacobi parameters; Probability and Math. Stat. (accepted for publication) |
|
92. |
|
Recent progress on the white noise approach to the Levy Laplacian; in: Nagoya Winter School (accepted for publication) |
|
93. |
|
(with L. Accardi and A. Stan) Characterization of certain probability measures by creation, annihilation, and number operators; (submitted for publication) |
|
94. |
|
(with L. Accardi and A. Stan) Moments and commutators of probability measures; (submitted for publication) |
|
95. |
|
(with L. Accardi and A. Stan) Interacting Fock spaces and orthogonal polynomials in infinitely many variables ; preprint (2003) |
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