Complex White Noise and Coherent State Representations |
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Authors: | Nobuaki Obata |
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Institution: | (1) Graduate School of Mathematics, Nagoya University, Nagoya, 464-8602, Japan. e-mail |
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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. |
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Keywords: | complex white noise white noise operator coherent state exponential vector inverse S-transform |
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