[1] |
Parthasarathy, KR; Sunder, VS, Exponentials of indicator functions are total in the boson Fock space \(\Gamma (L^2[0,1])\), Quantum probability communications, 10, 281-284, 1998 · doi:10.1142/9789812816054_0017 |
[2] |
Hudson, RL; Parthasarathy, KR, Unification of fermion and boson stochastic calculus, Comm. Math. Phys., 104, 3, 457-470, 1986 · Zbl 0604.60063 · doi:10.1007/BF01210951 |
[3] |
Hudson, RL; Parthasarathy, KR, Construction of quantum diffusions, Lecture Notes in Math., 1055, 173-198, 1984 · doi:10.1007/BFb0071721 |
[4] |
Hudson, RL; Karandikar, RL; Parthasarathy, KR, Towards a theory of noncommutative semimartingales adapted to Brownian motion and a quantum Ito’s formula Lect, Notes Control Inf. Sci., 49, 96-110, 1983 |
[5] |
Hudson, R. L., Parthasarathy, K. R.: Quantum Diffusions, (Lect. Notes Control Inf. Sci.), 49 (1983) 111-121 · Zbl 0514.60054 |
[6] |
Parthasarathy K. R., Schmidt K.: Positive definite kernels, continuous tensor products, and central limit theorems of probability theory, Lecture Notes in Mathematics, 272 (1972) · Zbl 0237.43005 |
[7] |
Accardi, L.; Parthasarathy, KR, A martingale characterization of canonical commutation and anticommutation relations, J. Funct. Anal., 77, 1, 211-231, 1988 · Zbl 0642.60032 · doi:10.1016/0022-1236(88)90085-7 |
[8] |
Accardi, L.; Parthasarathy, KR, Stochastic calculus on local algebras, Lecture Notes in Math., 1136, 9-23, 1984 · doi:10.1007/BFb0074455 |
[9] |
Luigi Accardi, Yun Gang Lu, Amit Vutha K. R. Parthasarathy: a glance to his scientific production, to be submitted |
[10] |
Araki H.: Thesis, Princeton, published in: Hamiltonian formalism and the canonical commutation relations in quantum field theory. Journal of Mathematical Physics (1) (1960) 492-504 · Zbl 0099.22906 |
[11] |
Aronszajn, N., La theorie des noyeaux reproduisants et ses applications, Proc. Cambridge Philos. Soc., 39, 133-153, 1943 · Zbl 0061.26204 · doi:10.1017/S0305004100017813 |
[12] |
P. Delorme Irreductibilité de Certaines Representations de \(G^{(X)}\), Journal of Functional Analysis 30 (1978) 36-47 · Zbl 0389.43007 |
[13] |
Ebbesen, Jorgen Christian Ridder, Helical maps from Lca-Groups into Hilbert Spaces, Mathematica Scandinavica, 55, 1, 271-284, 1984 · Zbl 0628.43004 · doi:10.7146/math.scand.a-12081 |
[14] |
Bent Fuglede Spirals in Hilbert space with an application in information theory Expo. Math. 23 (2005) 23-45 |
[15] |
A. Guichardet Symmetric Hilbert Spaces and Related Topics Lecture Notes in Mathematics, Vol. 261Springer, Berlin (1972) |
[16] |
Kolmogorov, AN, Kurven in Hilbertschen Raum, die gegenuber einer einparametrigen Gruppe von Bewegungen invariant sind, Dokl. Akad. Nauk SSSR, 26, 6-9, 1940 · Zbl 0022.35903 |
[17] |
Kolmogorov, AN, Stationary sequence in Hilbert space, Moscow Univ. Bull. Math., 2, 1-40, 1941 |
[18] |
P. Masani, On infinitely decomposable probability distributions, and helical varieties in Hilbert space Multivariate Analysis III, (Proc. Dayton, Ohio, 1972), ed. P.R. Krishnaiah Academic Press, New York, 1973 |
[19] |
Masani, P., On helixes in Hilbert space I, Theory Probab. Appl., 17, 1-19, 1972 · Zbl 0283.60032 · doi:10.1137/1117001 |
[20] |
Masani, P., Orthogonally scattered measures, Adv. in Math., 2, 61-117, 1968 · Zbl 0187.38705 · doi:10.1016/0001-8708(68)90018-2 |
[21] |
Schönberg, IJ; von Neumann, J., Fourier integrals and metric geometry, Trans. Amer. Math. Soc., 50, 226-251, 1941 · JFM 67.0692.01 · doi:10.1090/S0002-9947-1941-0004644-8 |
[22] |
Michael Skeide: Indicator Functions of Intervals are Totalizing in the Symmetric Fock Space \(\Gamma (L^2(\mathbb{R}_+))\), in: L. Accardi, Hui-Hsiung Kuo, Nobuaki Obata, Kimiaki Saito, Si Si, Ludwig Streit (eds.), Trends in Contemporary Infin. Dimens. Anal., Quantum Probab. Relat. Top. (IDA-QP), festshcrift volume of papers in honor of Professor T. Hida, ed. Scuola di Studi sull’Asia Orienale, Natural and Mathematical Sciences series N. 3, Kyoto (1999) |
[23] |
Yaglom, AM, Some classes of random fileds in n-dimensional space, related to stationary random processes, Theory Probab. Appl., 2, 273-320, 1957 · doi:10.1137/1102021 |