On the Ito multiplication table for second-order quantum stochastic processes

1998 ◽  
Vol 63 (5) ◽  
pp. 688-692
Author(s):  
D. V. Victorov
Keyword(s):  
Stochastic Processes ◽  
Multiplication Table ◽  
Second Order ◽  
Quantum Stochastic Processes

scholarly journals Classical quantum stochastic processes

2019 ◽  
Vol 100 (2) ◽  
Author(s):  
Philipp Strasberg ◽  
María García Díaz
Keyword(s):  
Stochastic Processes ◽  
Quantum Stochastic Processes ◽  
Classical Quantum

Basic Fourier series

1979 ◽  
Vol 369 (1736) ◽  
pp. 115-136 ◽  
Keyword(s):  
Time Series ◽  
Fourier Series ◽  
Stochastic Processes ◽  
Numerical Approximation ◽  
Basic Number ◽  
Second Order ◽  
Orthogonal Functions ◽  
Sturm Liouville

The concept of basic number is applied to the development of a simple analogue of the Sturm–Liouville system of the second order. This is then employed to deduce a family of q -orthogonal functions, which leads to a generalization of the Fourier and Fourier–Bessel expansions. The numerical approximation of basic integrals is discussed and some aspects of the evaluation of C a (q; x) are mentioned. A few of the zeros of this function are listed, and, in conclusion, an indication is given of the possibility of applying the analysis presented in this paper to thé study of stochastic processes and time-series.

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