Complex white noise and coherent state representations

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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.

Original languageEnglish
Pages (from-to)283-291
Number of pages9
JournalActa Applicandae Mathematicae
Issue number1-3
Publication statusPublished - 2000 Sept


  • Coherent state
  • Complex white noise
  • Exponential vector
  • Inverse S-transform
  • White noise operator


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