Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (4): 969-973.

• Articles • Previous Articles     Next Articles

Generalized Differential Second Quantization Operator

  

  1. (School of Mathematics and Statistics of Mathematics, Huazhong University of Science and Technology, Wuhan 430074)
  • Received:2007-04-18 Revised:2008-04-03 Online:2009-08-25 Published:2009-08-25
  • Supported by:

    国家自然科学基金(10571065)资助

Abstract:

In this paper, the authors define the differential second quantization operator of any continuous linear operator from Ec to Ec*. A Fock expansion by using Schwartz kernel theorem is obtained. The differential second quantization operator of composition operator by using
tensor product is given.

Key words: Differential second quantization, Generalized operator, White noise analysis

CLC Number: 

  • 60H40
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