Titlebook: Recent Developments in Infinite-Dimensional Analysis and Quantum Probability; Papers in Honour of Luigi Accardi,Hui-Hsiung Kuo,Ludwig Stre

AFFIX

做作

Generalized Functions in Signal Theory,smission function cannot be defined. Starting from the requirements that have to be taken for a function space, if it should be suitable for a signal theory, generalized functions are introduced. Moreover, the connections between such a signal theory and the theory of white noise are discussed.

Commonplace

銀版照相

Quantum Mechanics and Brownian Motions,ns of the quantum fluctuation within the framework of new quantization schemes, such as . and/or . quantizations, for increasing additional . time other than the ordinary one. On the same basis we also show that a D-dimensional quantum system is equivalent to a (D + 1)-dimensional classical system.

懶惰人民

發(fā)牢騷

后天習(xí)得

Exponential Moments of Solutions for Nonlinear Equations with Catalytic Noise and Large Deviation,Nonlinear equation with catalytic noise is considered. We discuss the existence of catalytic superprocess associated with the equation and derive the exponential moment formula. Moreover, we prove the large deviation principle for catalytic superprocesses.

歪曲道理

Ornstein-Uhlenbeck Path Integral and Its Application,Introducing a path integral for the Ornstein-Uhlenbeck process distorted by a potential .(.), we find out the . → ∞ limit of the probability distributions of .[.] := 1/.. ∫..(.(.)) d. for Ornstein-Uhlenbeck process .(.), with appropriate values of the exponent . that depend on .. The results are compared with those for the Wiener process.

胎兒

Anhydrous

A White Noise Approach to Stochastic Neumann Boundary-Value Problems,We illustrate the use of white noise analysis in the solution of stochastic partial differential equations by explicitly solving the stochastic Neumann boundary-value problem .where . is a uniformly elliptic linear partial differential operator and .(.), . ∈ ?., is .-parameter white noise.