Preface

I. General Theory of White Noise Functionals

Analysis of Brownian Functionals, Carleton Math. Lecture Notes, No. 13, July 1975

Quadratic Functionals of Brownian Motion, J. Multivariate Anal. 1 (1971) 58--69

Generalized Brownian Functionals, Proc. VI International Conference on Mathematical Physics, Berlin 1981, Lecture Notes in Physics, No. 153 (1982) 285--287

L. Streit

The Role of Exponential Functions in the Analysis of Generalized Brownian Functionals, Teor. Verojantnost. Primenen. 27--3 (1982) 569--573 [Theory Probab. Its Appl. 27 (1983) 609--613]

Causal Calculus and An Application to Prediction Theory, Prediction Theory and Harmonic Analysis, The Pesi Masani Volume, eds. V. Mandrekar and H. Salehi (1983) 123--130

Generalized Gaussian Measures, Suppl. Rend. del Circolo Mat. Palermo, Ser. II, 17 (1987) 229--236

The Impact of Classical Functional Analysis on White Noise Calculus, Centro Vito Volterra, Universita degli Studi di Roma II March 1992, No. 90, 1--20

II. Gaussian and Other Processes

Canonical Representations of Gaussian Processes and Their Applications, Memoirs Coll. Sci., Univ. Kyoto A33 (1960) 109--155

Analysis on Hilbert Space with Reproducing Kernel Arising from Multiple Wiener Integral, Proc. 5th Berkeley Symp. on Math. Stat. Probability 2 (1967) 117--143

N. Ikeda

The Square of a Gaussian Markov Process and Nonlinear Prediction, J. Multivariate Anal. 5, 4 (1975) 451--461

G. Kallianpur

III. nfinite Dimensional Harmonic Analysis and Rotation Group

Sur I'invariance Projective pour les Processus Symetriques Stables, C. R. Acad. Sci. Paris 267 (1968) 821--823

Note on the Infinite Dimensional Laplacian operator, Nagoya Math. J. 38 (1970) 13--19

L'analyse Harmoniques sur l'espace des Fonctions Generlisees, C. R. Acad. Sci. Paris 274 (1972) 476--478

Conformal Invariance of White Noise, Nagoya Math. J. 98 (1985) 87--98

K.-S. Lee

S.-S. Lee

Transformations for White Noise Functionals, J. Funct. Anal. 111 (1993) 259--277

H.-H. Kuo

N. Obata

On Projective Invariance of Brownian Motion, Publ. RIMS Kyoto Univ., A4 (1969) 595--609

I. Kubo

H. Nomoto

H. Yoshizawa

Infinite Dimensional Rotations and Laplacians in Terms of White Noise Calculus, Nagoya Math. J. 128 (1992) 65--93

N. Obata

K. Saito

Infinite Dimensional Rotation Group and White Noise Analysis, Group Theoretical Methods in Physics, Proc. 20th Colloq. on Group theoretical Methods in Physics, eds. A. Arima et al. (1995) 1--9

IV. Quantum Theory

On Quantum Theory in Terms of White Noise, Nagoya Math. J. 68 (1977) 21--34

L. Streit

White Noise Analysis and Its Applications to Quantum Dynamics, Physica 124A (1984) 399--412

Boson Fock Representations of Stochastic Processes, Mathematical Notes 67 (2000) 3--14

L. Accardi

Win Win Htay

V. Feynman Integrals and Random Fields

Generalized Brownian Functionals and the Feynman Integral, Stochastic Processes and their Applications 16 (1983) 55--69

L. Streit

Dirichlet Forms and White Noise Analysis, Commun. Math. Phys. 116 (1988) 235--245

J. Potthoff

L. Streit

Dirichlet Forms in Terms of White Noise Analysis I: Construction and QFT Examples, Rev. Math. Phys. 1 (1990) 291--312

S. Albeverio

J. Potthoff

M. Rockner

L. Streit

Dirichlet Forms in Terms of White Noise Analysis II: Closability and Diffusion Processes, Rev. Math. Phys. 1 (1990) 313--323

S. Albeverio

J. Potthoff

M. Rockner

L. Streit

VI. Variational Calculus and Random Fields

Multidimensional Parameter White Noise and Gausian Random Fields, White Noise Theory, Balakrishnan Volume (1987) 177--183

K.-S. Lee

Si Si

A Note on Generalized Gaussian Random Fields, J. Multivariate Anal. 27 (1988) 255-- 260

White Noise and Stochastic Variational Calculus for Gaussian Random Fields, Dynamics and Stochastic Processes (Lisbon 1988), Lecture Notes in Physics, No. 335 (1988) 126--141

Variational Calculus for Gaussian Random Fields, Proc. IFIP Warsaw, Lecture Notes in Control and Information Sci., No. 136 (1989) 86--97

Si Si

Innovations for Random Fields, Infinite Dimensional Anal., Quantun Probab, Related Topics 1 (1998) 499--509

Si Si

VII. Application to Biology

Functional Word in a Protein I. Overlapping Words, Proc. Japan Acad. 72. Ser. B (1996) 85--90

T. Iwai

Y. Kiho

Comments on [11], [14], [19], [20] and [21]

L. Accardi

Comments on [6], [8], [10], [27] and [29]

M. Hitsuda

Comments on [9], [11], [14], [16], [17] and [18]

I. Kubo

Comments on [1], [2], [4] and [5]

H.-H. Kuo

Comments on [12], [13], [16] and [17]

N. Obata

Comments on [15] and [31]

K. Saito

Comments on [26], [28] and [30]

Si Si

Comments on [20], [22], [23], [24] and [25]

L. Streit

My Mathematical Journey

List of Publications