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This book provides the mathematical definition of white noise and gives its significance. White noise is in fact a typical class of idealized elemental (infinitesimal) random variables. Thus, we are naturally led to have functionals of such elemental random variables that is whi…
1. Preliminaries and discrete parameter white noise. 1.1. Preliminaries. 1.2. Discrete parameter white noise. 1.3. Invariance of the measure [symbol]. 1.4. Harmonic analysis arising from O(E) on the space of functional of Y = {Y (n)}. 1.5. Quadratic forms. 1.6. Differential oper…
This book provides the mathematical definition of white noise and gives its significance. White noise is in fact a typical class of idealized elemental (infinitesimal) random variables. Thus, we are naturally led to have functionals of such elemental random variables that is whi…
"This volume is to pique the interest of many researchers in the fields of infinite dimensional analysis and quantum probability. These fields have undergone increasingly significant developments and have found many new applications, in particular, to classical probability and t…
"This volume is to pique the interest of many researchers in the fields of infinite dimensional analysis and quantum probability. These fields have undergone increasingly significant developments and have found many new applications, in particular, to classical probability and t…
White noise analysis and quantum information
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Type: Book
"This volume is to pique the interest of many researchers in the fields of infinite dimensional analysis and quantum probability. These fields have undergone increasingly significant developments and have found many new applications, in particular, to classical probability and t…
