Complex White Noise and Coherent State Representations

  • Nobuaki Obata
Chapter
Received:

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.

Mathematics Subject Classifications (2000)

46F25 46G20 60H40 81R30 

Key words

complex white noise white noise operator coherent state exponential vector inverse S-transform 
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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Nobuaki Obata
    • 1
  1. 1.Graduate School of MathematicsNagoya UniversityNagoyaJapan

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