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Complex White Noise and Coherent State Representations
Authors:Nobuaki Obata
Institution:(1) Graduate School of Mathematics, Nagoya University, Nagoya, 464-8602, Japan. e-mail
Abstract:An infinite-dimensional extension of a coherent state representation is discussed within the framework of white noise calculus. The exponential vectors (unnormalized coherent states) and the complex Gaussian integral play a role in such representations of a white noise function and of a white noise operator.
Keywords:complex white noise  white noise operator  coherent state  exponential vector  inverse S-transform
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